<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article
  PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.1 20151215//EN" "https://jats.nlm.nih.gov/publishing/1.1/JATS-journalpublishing1.dtd">
<article article-type="research-article" dtd-version="1.1" specific-use="sps-1.7" xml:lang="en" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
	<front>
		<journal-meta>
			<journal-id journal-id-type="publisher-id">dyna</journal-id>
			<journal-title-group>
				<journal-title>DYNA</journal-title>
				<abbrev-journal-title abbrev-type="publisher">Dyna rev.fac.nac.minas</abbrev-journal-title>
			</journal-title-group>
			<issn pub-type="ppub">0012-7353</issn>
			<publisher>
				<publisher-name>Universidad Nacional de Colombia</publisher-name>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="doi">10.15446/dyna.v85n207.71209</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Artículos</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Modeling a productive system incorporating elements of business sustainability</article-title>
				<trans-title-group xml:lang="es">
					<trans-title>Modelado de un sistema productivo incorporando elementos de la sostenibilidad empresarial</trans-title>
				</trans-title-group>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<name>
						<surname>Valencia-Rodríguez</surname>
						<given-names>Orlando</given-names>
					</name>
					<xref ref-type="aff" rid="aff1"><sup>
 <italic>a</italic>
</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Olivar-Tost</surname>
						<given-names>Gerard</given-names>
					</name>
					<xref ref-type="aff" rid="aff2"><sup>
 <italic>b</italic>
</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Redondo</surname>
						<given-names>Johan Manuel</given-names>
					</name>
					<xref ref-type="aff" rid="aff3"><sup>
 <italic>c</italic>
</sup></xref>
				</contrib>
			</contrib-group>
			<aff id="aff1">
				<label>a</label>
				<institution content-type="original"> Department of Industrial Engineering, Universidad Nacional of Colombia, Manizales Campus, Manizales, Colombia. ovalenciaro@unal.edu.co. </institution>
				<institution content-type="normalized">Universidad Nacional de Colombia</institution>
				<institution content-type="orgdiv1">Department of Industrial Engineering</institution>
				<institution content-type="orgname">Universidad Nacional of Colombia</institution>
				<addr-line>
					<city>Manizales</city>
				</addr-line>
				<country country="CO">Colombia</country>
				<email>ovalenciaro@unal.edu.co</email>
			</aff>
			<aff id="aff2">
				<label>b</label>
				<institution content-type="original"> Department of Mathematics and Statistics, Universidad Nacional of Colombia, Manizales Campus, Manizales, Colombia. golivart@unal.edu.co. </institution>
				<institution content-type="normalized">Universidad Nacional de Colombia</institution>
				<institution content-type="orgdiv1">Department of Mathematics and Statistics</institution>
				<institution content-type="orgname">Universidad Nacional of Colombia</institution>
				<addr-line>
					<city>Manizales</city>
				</addr-line>
				<country country="CO">Colombia</country>
				<email>golivart@unal.edu.co</email>
			</aff>
			<aff id="aff3">
				<label>c</label>
				<institution content-type="original"> Universidad Católica of Colombia, Bogotá, Colombia. jmredondo@ucatolica.edu.co </institution>
				<institution content-type="normalized">Universidad Católica de Colombia</institution>
				<institution content-type="orgname">Universidad Católica of Colombia</institution>
				<addr-line>
					<city>Bogotá</city>
				</addr-line>
				<country country="CO">Colombia</country>
				<email>jmredondo@ucatolica.edu.co</email>
			</aff>
			<pub-date pub-type="epub-ppub">
				<season>Oct-Dec</season>
				<year>2018</year>
			</pub-date>
			<volume>85</volume>
			<issue>207</issue>
			<fpage>113</fpage>
			<lpage>122</lpage>
			<history>
				<date date-type="received">
					<day>22</day>
					<month>03</month>
					<year>2018</year>
				</date>
				<date date-type="rev-recd">
					<day>17</day>
					<month>09</month>
					<year>2018</year>
				</date>
				<date date-type="accepted">
					<day>05</day>
					<month>10</month>
					<year>2018</year>
				</date>
			</history>
			<permissions>
				<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/" xml:lang="en">
					<license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution License</license-p>
				</license>
			</permissions>
			<abstract>
				<title>Abstract</title>
				<p>This article builds and evaluates a business sustainability model for a manufacturing industry in which indicators of sustainable development are incorporated. The construction and analysis of the model is based on the system dynamics methodology. This methodology begins with the characterization of business sustainability and its indicators, models and applied methodologies are then reviewed, the production process of the analyzed company described, and the model is finally elaborated integrating the environmental, economic and social dimensions. The simulations of the model showed that the inventory of finished products accumulates over time and that the incorporation of energy saving technology is one that has a more effective impact on consumption, and the proportion of waste generated grows as the production order’s size increases. Finally, it is concluded that the designed model is useful for the evaluation of strategies and the definition of sustainability actions.</p>
			</abstract>
			<trans-abstract xml:lang="es">
				<title>Resumen</title>
				<p>En este artículo se construye y evalúa un modelo de sostenibilidad empresarial para una industria manufacturera en el cual se incorporan indicadores del desarrollo sostenible. La construcción y el análisis del modelo se basa en la metodología de dinámica de sistemas. En esta metodología se parte de la caracterización de la sostenibilidad empresarial y sus indicadores, se revisan modelos y metodologías aplicadas, se describe el proceso productivo de la empresa analizada y se elabora el modelo integrando las dimensiones ambiental, económica y social. Las simulaciones del modelo mostraron que el inventario de productos terminados se acumula a través del tiempo, la incorporación de tecnología de ahorro energético es la que tiene un impacto más efectivo en el consumo, y la proporción de residuos generados crece a medida que aumenta el tamaño de la orden de producción. Finalmente se concluye que, el modelo diseñado es útil para la evaluación de estrategias y definición de acciones de sostenibilidad.</p>
			</trans-abstract>
			<kwd-group xml:lang="en">
				<title><italic>Keywords:</italic></title>
				<kwd>sustainable development</kwd>
				<kwd>productivity</kwd>
				<kwd>modeling</kwd>
				<kwd>industrial waste</kwd>
				<kwd>dynamic of systems</kwd>
			</kwd-group>
			<kwd-group xml:lang="es">
				<title><bold>P<italic>alabras clave:</italic>
</bold></title>
				<kwd>desarrollo sostenible</kwd>
				<kwd>productividad</kwd>
				<kwd>modelado</kwd>
				<kwd>residuos industriales</kwd>
				<kwd>dinámica de sistemas</kwd>
			</kwd-group>
			<counts>
				<fig-count count="18"/>
				<table-count count="0"/>
				<equation-count count="0"/>
				<ref-count count="36"/>
				<page-count count="10"/>
			</counts>
		</article-meta>
	</front>
	<body>
		<sec sec-type="intro">
			<title>1. Introduction</title>
			<p>Sustainable development is defined as development that ensures the needs of the present without compromising the ability of future generations to face their own needs [<xref ref-type="bibr" rid="B1">1</xref>]. This implies an adequate planning regarding the use of resources in the short, medium and long term, and requires an analysis of the threats and opportunities of human beings acting on their environment. Sustainable development seeks a balance between economic growth, social progress and ecological balance [<xref ref-type="bibr" rid="B2">2</xref>], this is known as the three pillars on which sustainability is based and contributes to an increase in the welfare and progress of present and future generations [<xref ref-type="bibr" rid="B2">2</xref>,<xref ref-type="bibr" rid="B3">3</xref>]. </p>
			<p>Sustainable companies, which use the World Business Council for Sustainable Development as a global regulatory body, are important players in the search for a sustainable world as they care able to develop cleaner production processes that have a positive impact on the environment. A sustainable business creates economic, environmental and social value in the short and long term, thus contributing to the increasing welfare and progress of present and future generations [<xref ref-type="bibr" rid="B4">4</xref>].</p>
			<p>This article aims to build a model that allows the integration of different elements that interact within the organization and operation of a company, incorporating elements of business sustainability, all with an emphasis on the production process. The main variables and their interrelationships will be identified, allowing decision making that favorably influences the development of the environment and improves the sustainability conditions of the business.</p>
			<p>Considering the model was structured in a global manner and under the system dynamics approach, its description and analysis is the basis for its application in other companies of lesser or greater complexity. Moreover, it integrates components of sustainable development with the manufacturing process and the quantitative model.</p>
			<p>The model’s construction is based on the characterization of aspects related to sustainable development and business sustainability, while the modeling blueprints with respect to business sustainability and the fundamentals of system dynamics. It continues with the identification of variables and their relationships through the causal diagram, the explanation of the model, and its composition and interrelations based on the structure and functioning of a manufacturing company which served as a reference for data collection and modeling. Finally, the analysis and results of the simulation and the evaluation of the model are laid out.</p>
			<sec>
				<title>2. Business sustainability and modeling</title>
				<p>The objective of a sustainable business is the creation of value [<xref ref-type="bibr" rid="B5">5</xref>] which can be achieved through the company's own commercial activity, a decrease in the consumption of electricty, water and other raw materials, the use of new technologies, and product innovation; all of which generate greater profitability and impact on the needs of consumers measured through indicators. These are defined as aspects of interest for the company and are analyzed based upon general guidelines for corporate sustainability [<xref ref-type="bibr" rid="B6">6</xref>].</p>
				<p>Corporate sustainability includes three dimensions known as The Triple Bottom Line: social progress, economic growth and ecological balance [<xref ref-type="bibr" rid="B3">3</xref>]. The balance of these three dimensions seeks the long term profitability and permanence of companies. The sustainable company does not only partially compensate for the negative effects of its actions, and further integrates within its strategies the three aforementioned parameters [<xref ref-type="bibr" rid="B7">7</xref>]. Regarding the modeling of business sustainability, partial analyzes can be found where modeling is carried out from the production process’s perspective, certain parts of the business, and problematic situations regarding business dynamics. However, components of sustainable development are not integrated within the manufacturing process and the mathematical model [<xref ref-type="bibr" rid="B8">8</xref>-<xref ref-type="bibr" rid="B11">11</xref>].</p>
				<p>Forrester, the creator of System Dynamics, lays out in his book <italic>Industrial Dynamics</italic> several examples for application in a company, including: model of the production-distribution system; the dynamic characteristics of a client-producer- employment system; and industrial dynamics in business [<xref ref-type="bibr" rid="B8">8</xref>]. Later, in the 90s, [<xref ref-type="bibr" rid="B9">9</xref>] he proposed and updated the concepts of system dynamics and incorporated mathematical elements that are typical of dynamic systems. In addition, the book explains characteristic behaviors in the different systems studied called archetypes. These serve as a reference to identify, design and analyze models.</p>
				<p>A methodological approach for organizational modeling under a system dynamics approach is presented in [<xref ref-type="bibr" rid="B10">10</xref>], laying out a structured development of company modeling. Conversely, the use of case studies for the understanding of the concepts and methodology of system dynamics is used by [<xref ref-type="bibr" rid="B12">12</xref>]. An integrated sustainability model that includes the management, measurement and social responsibility of an organization is presented in [<xref ref-type="bibr" rid="B13">13</xref>]; concepts of sustainable development are raised in the general context and in the business world, integrating the dimensions of sustainability (social, economic and environmental) and incorporating product management as a key component of the model.</p>
				<p>Other management models applied to sustainability are outlined in [<xref ref-type="bibr" rid="B14">14</xref>]; that proposes sustainable management as an integrating activity in the company. The self-management model [<xref ref-type="bibr" rid="B15">15</xref>] explains that workers take a very active role in the company and become its owners. This model conceptually describes the organization and its regular functioning, without establishing numerical or mathematical type relationships. In the mining sector, the incorporation of elements of sustainability has also been proposed as a strategy to increase productivity and meet the technical, normative and social responsibility requirements for this industry [<xref ref-type="bibr" rid="B16">16</xref>,<xref ref-type="bibr" rid="B17">17</xref>].</p>
				<p>In [<xref ref-type="bibr" rid="B18">18</xref>], a study is presented on multilevel distribution chains where system dynamics are used to perform a multi-product modeling. Whereas in [<xref ref-type="bibr" rid="B19">19</xref>], some models are proposed for business management settings which make use of system dynamics. The textile industry has also been subject to modeling from perspective of system dynamics [<xref ref-type="bibr" rid="B20">20</xref>] through a model that is based on the management of production. The CEO of the company DPS Telecom develops a process of modeling his company that is carried out under the methodology of system dynamics [<xref ref-type="bibr" rid="B21">21</xref>]. It starts with a simple model until a complex modeling of the organization is achieved and decisions can be taken. The Viable System Model presents the approach of a business model integrating business sustainability, based on the guidelines of the ISO 26000 [<xref ref-type="bibr" rid="B22">22</xref>].</p>
				<p>System dynamics modeling has applications in different areas [<xref ref-type="bibr" rid="B23">23</xref>], therefore, this article links it as the methodological component for the approach and construction of the business sustainability model: the modeling is done from a structure and behavior viewpoint. The structure is analyzed from its composing elements, its relationships and characteristics. Behavior is studied from the evolution of the variables through time. Through simulation medium and long-term behaviors can be estimated and decisions made based on the changes recorded by simulated variables. [<xref ref-type="bibr" rid="B24">24</xref>-<xref ref-type="bibr" rid="B27">27</xref>]</p>
			</sec>
			<sec>
				<title>3. The model</title>
				<p>The construction of the model is based on the system dynamics through which complex systems are modeled, requiring an analysis of their components and a global understanding of their operation. [<xref ref-type="bibr" rid="B6">6</xref>,<xref ref-type="bibr" rid="B11">11</xref>-<xref ref-type="bibr" rid="B13">13</xref>,<xref ref-type="bibr" rid="B18">18</xref>,<xref ref-type="bibr" rid="B20">20</xref>,<xref ref-type="bibr" rid="B21">21</xref>,<xref ref-type="bibr" rid="B28">28</xref>-<xref ref-type="bibr" rid="B34">34</xref>]. System dynamics can be used to model complex systems from the most diverse fields: from engineering to social and economic sciences [<xref ref-type="bibr" rid="B32">32</xref>-<xref ref-type="bibr" rid="B36">36</xref>]. System dynamics is considered to be a scientific tool for the construction of system models which can be simulated with computers [<xref ref-type="bibr" rid="B6">6</xref>].</p>
				<sec>
					<title><italic>3.1. Theoretical foundation</italic></title>
					<p>System dynamics starts with the definition of the problem, characterization of the system to be modeled, identification of the variables, the construction of the causal diagram, the Forrester diagram, model verification, simulation, and finally, the analysis of results. The causal diagram allows the recognition of dynamic system structure by defining relationships between the variables. The Forrester diagram is a formalization of the causal diagram and shows the relationships between the state, flow, and auxiliary variables [<xref ref-type="bibr" rid="B9">9</xref>-<xref ref-type="bibr" rid="B11">11</xref>]. The model obtained is considered a dynamic system and this, in turn, is defined as the mathematical object constituted by the space of states and rules which determine its evolution. [<xref ref-type="bibr" rid="B9">9</xref>-<xref ref-type="bibr" rid="B11">11</xref>]. The space of state refers to the space of the dimensions formed by the state variables.</p>
					<p>State variables, also known as level variables, characterize the system at a given time or state. They represent accumulations and inventories, and also reflect a delay in the flow of material or information. They are important in identifying the evolution of the system. The state variables are linked by at least one variable of flow that can be input or output. These determine the increase or decrease of the state variable.</p>
					<p>Auxiliary variables are intermediate variables which affect the flow variables or other auxiliary variables. They can also be related to state variables and constants, such as rates. The parameters are constant values or of very slow variation, they are related to auxiliary variables and flow variables, but they are not influenced by other values or variables. During the analysis of the model, the parameters are varied in order to evaluate the behavior of the model. The model is verified based on the coherence of the results obtained against the simulated real system and the expected behaviors.</p>
				</sec>
				<sec>
					<title><italic>3.2. Description of the model</italic></title>
					<p>The construction of the model is based on the structure and functioning of a Colombian manufacturing company, which is taken as a reference. The causal diagram was constructed based on a general identification of variables and relationships, (<xref ref-type="fig" rid="f1">Fig. 1</xref>). In this diagram, the following points are highlighted: customers taken as a starting point for the dynamics of the model. The industry component which corresponds to the production system of the company: production, inventory and dispatch of finished products. The environmental component includes energy consumption and the generation of solid waste taking into account that they are two of the main indicators for the company under study. The social component refers to the variation of jobs based on production levels, training, and productivity.</p>
					<p>
						<fig id="f1">
							<label>Figure 1</label>
							<caption>
								<title>Causal diagram focused on the business sustainability approach</title>
							</caption>
							<graphic xlink:href="0012-7353-dyna-85-207-113-gf1.png">/</graphic>
							<attrib><bold>Source:</bold> The authors</attrib>
						</fig>
					</p>
					<p>From the causal diagram, the variables and parameters were adjusted, specified and classified. The model (Forrester Diagram) was built, comprising of two sub-models: The manufacturing model and the sustainability model. The model was made up of four (4) state variables (four-dimensional model), seven (7) flow variables, twenty-three (23) auxiliary variables and twenty-seven (27) parameters. Two negative feedback cycles were identified: one related to the energy saving program and the other was related to human talent management.</p>
				</sec>
				<sec>
					<title>3.2.1. The manufacturing module</title>
					<p>The manufacturing module has the aim to model the production process from the intake of raw materials to the preparation and dispatch of the finished products (<xref ref-type="fig" rid="f2">Fig. 2</xref>). The company performs production scheduling based on the demand (production orders) and the levels of losses that occur in the manufacturing process. Regarding the raw materials inventory, the interest is focused on those products that are supplied by international suppliers and whose stock in the warehouse must guarantee three months of production. This inventory is adjusted based on a standard reference value established by the company.</p>
					<p>
						<fig id="f2">
							<label>Figure 2</label>
							<caption>
								<title>Representation of the manufacturing module including technical and economic aspects and the productive process of the business</title>
							</caption>
							<graphic xlink:href="0012-7353-dyna-85-207-113-gf2.png">/</graphic>
							<attrib><bold>Source:</bold> The authors</attrib>
						</fig>
					</p>
					<p>The production (preparation, assembly and packaging) is impacted by production or material losses, and by the levels of equipment operation capacity or worker productivity, this in turn is reflected in defective material parts or units. The manufactured products go to the inventory of finished products. There is a maximum storage capacity, a maximum time of permanence, and a dispatch volume of products which determines the dynamics of said inventory.</p>
					<p>The operating costs of the company are differentiated by the areas of interest identified in the structure of the proposed model. The income is given by sales of products and green income, which corresponds to the total income. The profit is equal to the total income minus the total costs.</p>
				</sec>
			</sec>
			<sec>
				<title>3.2.2. The sustainability module</title>
				<p>In the sustainability module, everything related to solid industrial waste, energy consumption and human talent management is integrated. Each of the sub-modules are displayed independently. <xref ref-type="fig" rid="f3">Fig. 3</xref> shows the structure of energy consumption in the company, this is an important aspect in the sustainable development of a company.</p>
				<p>
					<fig id="f3">
						<label>Figure 3</label>
						<caption>
							<title>Sustainability module from the point of view of the energy saving component</title>
						</caption>
						<graphic xlink:href="0012-7353-dyna-85-207-113-gf3.png"/>
						<attrib><bold>Source:</bold> The authors</attrib>
					</fig>
				</p>
				<p>The energy saving factor is based on a maximum energy consumption goal. When reaching this goal, saving actions should be strengthened, especially with the employment of technology to reduce consumption. The monthly energy consumption is given by the factor of energy consumption per product manufactured, multiplied by the quantity of products manufactured in the same time period. This energy consumption depends, not only on production levels, but also on the implementation of energy saving strategies. The expertise and level of training of operators is another factor which contributes to the reduction of energy consumption levels.</p>
				<p>To be more precise, the company establishes training and training programs according to the number of contracted operators. The greater the number of contracted workers, the greater the emphasis placed on human talent training and management programs (<xref ref-type="fig" rid="f4">Fig. 4</xref>).</p>
				<p>
					<fig id="f4">
						<label>Figure 4</label>
						<caption>
							<title>Sustainability module from the human talent management component perspective</title>
						</caption>
						<graphic xlink:href="0012-7353-dyna-85-207-113-gf4.png"/>
						<attrib><bold>Source:</bold> The authors</attrib>
					</fig>
				</p>
				<p>With fixed workers, also known as plant workers, certain levels of productivity can be achieved. When a production order exceeds these levels, temporary workers must be hired, while the needs of production volumes are met. The number of workers to hire is given by the difference between the level of productivity and the production order, divided by the number of units that a contractor can produce.</p>
				<p>Solid waste (<xref ref-type="fig" rid="f5">Fig. 5</xref>) refers to “Scrap”, industrial solid waste such as sheet metal.</p>
				<p>
					<fig id="f5">
						<label>Figure 5</label>
						<caption>
							<title>Sustainability module from th solid waste management component perspective.</title>
						</caption>
						<graphic xlink:href="0012-7353-dyna-85-207-113-gf5.jpg"/>
						<attrib><bold>Source:</bold> The authors</attrib>
					</fig>
				</p>
			</sec>
		</sec>
		<sec sec-type="results">
			<title>4. Results and analysis</title>
			<p>Based on the records of monthly production, it was found that the production orders were adjusted to a normal distribution with an average and deviation of approximately 39,000 and 8400 units respectively, with minimum reference values of 20,000 and a maximum of 65,000. With reference to the above information, the orders were generated randomly (<xref ref-type="fig" rid="f6">Fig. 6</xref>) following a normal distribution. It was observed that the minimum value generated is 20,868 and the maximum value 58,913. To this end, a process of orders was simulated, coherent with a realsitic context of a company woth a 48- onth outlook.</p>
			<p>
				<fig id="f6">
					<label>Figure 6</label>
					<caption>
						<title>Randomly generated production orders</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf6.jpg">/</graphic>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>The production order determines the levels of receipt of raw materials factoring in the losses of raw materials, which, in turn, is defined by the rate of material loss and the levels of personnel training. This means that there is a difference between the production orders and the receipt of materials. This difference also means that production levels are lower than the order, leaving products pending for the next production order. To correct this situation, it can be established that the production orders include, from the beginning, the additional percentage of raw materials necessary to satisfy the volumes of products requested. On the other hand, production is also affected by the size of the production order. This is due to the fact that there is a production limit value (PLV), in this case of 35,000 monthly units that, when exceeded, the effectiveness of control over the quality levels of some products is lost. Therefore, the efficiency of the productive process is also affected. The production loss factor keeps increasing until it doubles.</p>
			<p>With respect to the inventory of finished products (<xref ref-type="fig" rid="f7">Fig. 7</xref>), it is observed that these are accumulated despite the fact that there is a constant dynamic of products being dispatched.</p>
			<p>
				<fig id="f7">
					<label>Figure 7</label>
					<caption>
						<title>Evolution of the finished products inventory</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf7.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>The accumulation of finished products is the result of several aspects, including: the policy on product consignment for some clients that are influential and have high levels of contracts with the company, and the impossibility of quickly dispatching all products to customers which affects demand in the long term.</p>
			<p>The products which are in the inventory of finished products are sent to customers based on the maximum time of permanence in the inventory, which is 3 months. The dispatching of finished products (<xref ref-type="fig" rid="f8">Fig. 8</xref>) has a consistent behavior with the inventory of finished products, since the shipments depend essentially on the quantity of products that are in the inventory, the time of permanence, and the client’s requirements.</p>
			<p>
				<fig id="f8">
					<label>Figure 8</label>
					<caption>
						<title>Levels dispatch of finished products from the company’s storage centre</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf8.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>With regards to energy consumption, this depends on the levels of production and energy consumption per unit. However, it can be modified through training processes where operators can upgrade their work and make better use of their time, which contributes to energy saving. In the same way, the use of technology is an alternative that can contribute to cost reduction through a more efficient use of energy. While measures are not implemented in the energy saving factor of technology (equal to 0), this will accumulate over time without variations in the slope (<xref ref-type="fig" rid="f9">Fig. 9</xref>).</p>
			<p>
				<fig id="f9">
					<label>Figure 9</label>
					<caption>
						<title>Energy consumed when the energy saving factor of the technology is equal to 0.</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf9.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>When a consumption goal of 6 million kwh (the reference value of the company from which the energy saving technology is applied) and a saving factor of 0.1 (<xref ref-type="fig" rid="f10">Fig. 10</xref>) are established, it is observed that the slope changes to a lower value compared to what is observed in <xref ref-type="fig" rid="f9">Fig. 9</xref>.</p>
			<p>
				<fig id="f10">
					<label>Figure 10</label>
					<caption>
						<title>Energy consumed when the technology energy saving factor equals 0.01</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf10.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>When establishing a technology saving factor equal to 0.3 (<xref ref-type="fig" rid="f11">Fig. 11</xref>), it is observed that the slope changes to a lower value after period 12. With a technological energy saving factor of 0.5 (<xref ref-type="fig" rid="f12">Fig. 12</xref>), the value of the slope decreases from period 9, an impact that will be reflected over time.</p>
			<p>
				<fig id="f11">
					<label>Figure 11</label>
					<caption>
						<title>Energy consumed when the technology energy saving factor equals 0.3</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf11.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>
				<fig id="f12">
					<label>Figure 12</label>
					<caption>
						<title>Energy consumed when the technology energy saving factor equals 0.5</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf12.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>When evaluating the energy cost factor of producing a unit in front of the variations that occur in the technology energy saving factor, rational changes are visualized in <xref ref-type="fig" rid="f13">Figs. 13</xref>, <xref ref-type="fig" rid="f14">14</xref>, <xref ref-type="fig" rid="f15">15</xref> and <xref ref-type="fig" rid="f16">16</xref>. In the first case (<xref ref-type="fig" rid="f13">Fig. 13</xref>), When the technology energy saving factor is zero, the energy cost factor of producing a unit decreases a little at the beginning ($20); later, from period 3 it maintains a marginal decreasing trend with minimal variations. In the second case, when this factor is 0.01 (<xref ref-type="fig" rid="f14">Fig. 14</xref>), similar to the previous case (<xref ref-type="fig" rid="f13">Fig. 13</xref>), the energy cost factor of producing a unit decreases a little at the beginning ($20) and then after period 9 an additional decrease is observed, of $80 per unit regarding its energy cost. When the savings are 0.3 (<xref ref-type="fig" rid="f15">Fig. 15</xref>) and 0.5 (<xref ref-type="fig" rid="f16">Fig. 16</xref>), the energy costs of per unit of manufactured product from period 9 decrease by $1,800 and $3,000, respectively.</p>
			<p>
				<fig id="f13">
					<label>Figure 13</label>
					<caption>
						<title>Energy cost factor per unit with an energy saving factor of 0.</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf13.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>
				<fig id="f14">
					<label>Figure 14</label>
					<caption>
						<title>F Energy cost factor per unit with an energy saving factor of 0.01</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf14.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>
				<fig id="f15">
					<label>Figure 15</label>
					<caption>
						<title>Energy cost factor per unit with an energy saving factor of 0.3</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf15.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>
				<fig id="f16">
					<label>Figure 16</label>
					<caption>
						<title>Energy cost factor per unit with an energy saving factor of 0.5</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf16.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>These variations in the energy cost factor of producing a unit can be taken by the company as a basis for its energy saving decisions.</p>
			<p>Evaluating the behavior of waste (<xref ref-type="fig" rid="f17">Fig. 17</xref>), it can be observed that variations are presented that are coherent with the quantity of units that contain each of the production orders. In addition, as time passes there is a slight tendency of growth.</p>
			<p>
				<fig id="f17">
					<label>Figure 17</label>
					<caption>
						<title>Generation and use of solid waste in the production process</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf17.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
			<p>This increase is due, in some cases, to the greater generation of waste caused by increases in production levels, inefficiencies in the production process, efficiency losses in the use of some waste, or the generation of lower quality waste, limting its use. However, the percentages of waste generation are below 1%. Furthermore, the use of waste also has a slight upward trend, which may be due to a more efficient process or the generation of greater volumes of waste.</p>
			<p>Another interesting item to evaluate is the green income (<xref ref-type="fig" rid="f18">Fig. 18</xref>), it is evident that the monthly income of this is estimated at $10,670,000. However, the company can strengthen its policies and actions to use this waste in a better way, taking into account that the recovery rate is at 0.7.</p>
			<p>
				<fig id="f18">
					<label>Figure 18</label>
					<caption>
						<title>Green income obtained from the sale of waste generated by the company.</title>
					</caption>
					<graphic xlink:href="0012-7353-dyna-85-207-113-gf18.jpg"/>
					<attrib><bold>Source:</bold> The authors</attrib>
				</fig>
			</p>
		</sec>
		<sec sec-type="conclusions">
			<title>5. Conclusions</title>
			<p>A systemic vision of the company allows for an understanding of the systemic behavior of the organization’s key aspects, for example, how its decisions can impact on other components within the organization, especially those that are subtle and not easily perceived. Furthermore, the effects can accumulate over time and when they are detected it may be too late to take action to correct the problem.</p>
			<p>A four-dimensional model was built for a company, based on the fundamental characteristics of the production process, incorporating elements of business sustainability (environmental, economic and social dimensions) and quantitative modeling. The model was integrated by two large modules which were designated as the manufacturing module and the sustainability module. The first covered the physical and economic component of the production process and the second was divided into sub-modules related to energy consumption, green income, and human talent management. Reference was made to environmental, economic and social indicators, where at least one indicator of the triad was incorporated. Based on the model, some variables of interest were analyzed, such as the storage of finished products, the energy consumed, and the generation of solid waste.</p>
			<p>The company incorporates the just-in-time concept into its management, however, when evaluating its policy regarding the handling of inventories, in particular of finished products, as it was found that they accumulate slowly over time. This requires the company to make an assessment of storage costs and opportunity costs against the optimal quantities of inventory that could actually be maintained to ensure the continuity of the production process. Similarly, redefining their policies regarding the consignment of products for their main customers will streamline the movement of these stored products.</p>
			<p>Another interesting aspect was related to energy consumption. While measures are not implemented in the technology energy saving factor (equal to 0), this will accumulate over time in direct proportion to the levels of production and inversely to the levels of efficiency and productivity. When a technology energy saving factor equal to 0.3 was established, it was observed that the slope changes to a lower value after period 12. With a technology saving factor of 0.5, the value of the slope decreased from period 9 onwards. Regarding the cost of energy per unit of production, it remained constant when the technology energy saving factor is zero. When the savings were 0.3 and 0.5, the energy costs per unit of manufactured product decreased by $1,600 and $3,000, respectively, from period 9.</p>
			<p>With regards to waste generation, in this case, of solid waste; it was determined that its growth is mostly due to increases in production levels, inefficiencies in the production process, efficiency losses in the use of some waste, and the generation of lower quality waste with a limited use. </p>
			<p>Finally, since it was structured under a global and systematic scheme of operation and business organization, the developed model and its corresponding methodology forms a basis for its application to other companies of lesser or greater complexity.</p>
		</sec>
	</body>
	<back>
		<ack>
			<title>Acknowledgments</title>
			<p>The authors would like to express their sincere gratitude to Thomas Lock, who is part of the Translation Center of the Autonoma University of Manizales, for reviewing the finalmanuscript.</p>
		</ack>
		<ref-list>
			<title>Referencias</title>
			<ref id="B1">
				<label>[1]</label>
				<mixed-citation>[1] ONU - Organización de las Naciones Unidas. Informe de la Comisión Mundial sobre el Medio Ambiente y el Desarrollo “Nuestro futuro común” (Reporte Brundtland) [En línea], 1987, 416 P. [fecha de referencia: 26 de septiembre de 2015]. Disponible en: <comment>Disponible en: <ext-link ext-link-type="uri" xlink:href="http://www.ecominga.uqam.ca/PDF/BIBLIOGRAPHIE/GUIDE_LECTURE_1/CMMAD-Informe-Comision-Brundtland-sobre-Medio-Ambiente-Desarrollo.pdf">http://www.ecominga.uqam.ca/PDF/BIBLIOGRAPHIE/GUIDE_LECTURE_1/CMMAD-Informe-Comision-Brundtland-sobre-Medio-Ambiente-Desarrollo.pdf</ext-link>
					</comment>
				</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<collab>ONU - Organización de las Naciones Unidas</collab>
					</person-group>
					<source>Informe de la Comisión Mundial sobre el Medio Ambiente y el Desarrollo “Nuestro futuro común”</source>
					<comment>En línea</comment>
					<year>1987</year>
					<fpage>416</fpage>
					<lpage>416</lpage>
					<date-in-citation content-type="access-date" iso-8601-date="2015-00-00">26 de septiembre de 2015</date-in-citation>
					<comment>Disponible en: <ext-link ext-link-type="uri" xlink:href="http://www.ecominga.uqam.ca/PDF/BIBLIOGRAPHIE/GUIDE_LECTURE_1/CMMAD-Informe-Comision-Brundtland-sobre-Medio-Ambiente-Desarrollo.pdf">http://www.ecominga.uqam.ca/PDF/BIBLIOGRAPHIE/GUIDE_LECTURE_1/CMMAD-Informe-Comision-Brundtland-sobre-Medio-Ambiente-Desarrollo.pdf</ext-link>
					</comment>
				</element-citation>
			</ref>
			<ref id="B2">
				<label>[2]</label>
				<mixed-citation>[2] CECODES. Negocios Inclusivos. Una estrategia empresarial para reducir la pobreza: Avances y lineamientos. Consejo Empresarial Colombiano para el Desarrollo Sostenible, primera edición, Bogotá D.C., Colombia, 2010, 46 P. ISBN: 978-958-44-4383-0</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<collab>CECODES</collab>
					</person-group>
					<source>Negocios Inclusivos. Una estrategia empresarial para reducir la pobreza: Avances y lineamientos</source>
					<publisher-name>Consejo Empresarial Colombiano para el Desarrollo Sostenible</publisher-name>
					<edition>primera edición</edition>
					<publisher-loc>Bogotá D.C., Colombia</publisher-loc>
					<year>2010</year>
					<fpage>46</fpage>
					<lpage>46</lpage>
					<isbn>978-958-44-4383-0</isbn>
				</element-citation>
			</ref>
			<ref id="B3">
				<label>[3]</label>
				<mixed-citation>[3] Martens, M. and Carvalho, M., Key factors of sustainability in project management context: A survey exploring the project managers' perspective. International Journal of Project Management, 35(6), pp. 1084-1102, 2017. DOI: 10.1016/j.ijproman.2016.04.004</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Martens</surname>
							<given-names>M.</given-names>
						</name>
						<name>
							<surname>Carvalho</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<article-title>Key factors of sustainability in project management context: A survey exploring the project managers' perspective</article-title>
					<source>International Journal of Project Management</source>
					<volume>35</volume>
					<issue>6</issue>
					<fpage>1084</fpage>
					<lpage>1102</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.ijproman.2016.04.004</pub-id>
				</element-citation>
			</ref>
			<ref id="B4">
				<label>[4]</label>
				<mixed-citation>[4] Abdelkafi, N. and Täuscher, K., Business models for sustainability from a system dynamics perspective. Organization and Environment, 29(1), pp. 74-96, 2016. DOI: 10.1177/1086026615592930</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Abdelkafi</surname>
							<given-names>N.</given-names>
						</name>
						<name>
							<surname>Täuscher</surname>
							<given-names>K</given-names>
						</name>
					</person-group>
					<article-title>Business models for sustainability from a system dynamics perspective</article-title>
					<source>Organization and Environment</source>
					<volume>29</volume>
					<issue>1</issue>
					<fpage>74</fpage>
					<lpage>96</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1177/1086026615592930</pub-id>
				</element-citation>
			</ref>
			<ref id="B5">
				<label>[5]</label>
				<mixed-citation>[5] Hart, S.L. and Milstein, M.B., Creating sustainable value. Academy of Management Executive, 17(2), 2003. DOI: 10.5465/ame.2003.10025194</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Hart</surname>
							<given-names>S.L.</given-names>
						</name>
						<name>
							<surname>Milstein</surname>
							<given-names>M.B</given-names>
						</name>
					</person-group>
					<article-title>Creating sustainable value</article-title>
					<source>Academy of Management Executive</source>
					<volume>17</volume>
					<issue>2</issue>
					<year>2003</year>
					<pub-id pub-id-type="doi">10.5465/ame.2003.10025194</pub-id>
				</element-citation>
			</ref>
			<ref id="B6">
				<label>[6]</label>
				<mixed-citation>[6] Antequera-Baiget, J., Propuesta metodológica para el análisis de la sostenibilidad regional, Tesis de doctorado, programa de doctorado en sostenibilidad, tecnología y humanismo, Universidad Politécnica de Catalunya, 2012, 251 P.</mixed-citation>
				<element-citation publication-type="thesis">
					<person-group person-group-type="author">
						<name>
							<surname>Antequera-Baiget</surname>
							<given-names>J.</given-names>
						</name>
					</person-group>
					<source>Propuesta metodológica para el análisis de la sostenibilidad regional</source>
					<comment content-type="degree">Tesis de doctorado, programa de doctorado en sostenibilidad, tecnología y humanismo</comment>
					<publisher-name>Universidad Politécnica de Catalunya</publisher-name>
					<year>2012</year>
					<fpage>251</fpage>
					<lpage>251</lpage>
				</element-citation>
			</ref>
			<ref id="B7">
				<label>[7]</label>
				<mixed-citation>[7] Rajala, R., Westerlund, M. and Lampikoski, T., Environmental sustainability in industrial manufacturing: reexamining the greening of interface's business model. Journal of Cleaner Production, 115, pp. 52-61, 2016. DOI: 10.1016/j.jclepro.2015.12.057</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Rajala</surname>
							<given-names>R.</given-names>
						</name>
						<name>
							<surname>Westerlund</surname>
							<given-names>M.</given-names>
						</name>
						<name>
							<surname>Lampikoski</surname>
							<given-names>T</given-names>
						</name>
					</person-group>
					<article-title>Environmental sustainability in industrial manufacturing: reexamining the greening of interface's business model</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>115</volume>
					<fpage>52</fpage>
					<lpage>61</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2015.12.057</pub-id>
				</element-citation>
			</ref>
			<ref id="B8">
				<label>[8]</label>
				<mixed-citation>[8] Forrester, J., Industrial dynamics. Pegasus communications Inc., Waltham, 1999, 482 P. ISBN: 978-1614275336. </mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<name>
							<surname>Forrester</surname>
							<given-names>J</given-names>
						</name>
					</person-group>
					<source>Industrial dynamics</source>
					<publisher-name>Pegasus communications Inc.</publisher-name>
					<publisher-loc>Waltham</publisher-loc>
					<year>1999</year>
					<fpage>482</fpage>
					<lpage>482</lpage>
					<isbn>978-1614275336</isbn>
				</element-citation>
			</ref>
			<ref id="B9">
				<label>[9]</label>
				<mixed-citation>[9] Aracil-Santoja, J. and Gordillo, F., Dinámica de sistemas (primera edición), Alianza Editorial, Madrid, España, 1997, 189 P.</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<name>
							<surname>Aracil-Santoja</surname>
							<given-names>J.</given-names>
						</name>
						<name>
							<surname>Gordillo</surname>
							<given-names>F</given-names>
						</name>
					</person-group>
					<source>Dinámica de sistemas (primera edición)</source>
					<publisher-name>Alianza Editorial</publisher-name>
					<publisher-loc>Madrid, España</publisher-loc>
					<year>1997</year>
					<fpage>189</fpage>
					<lpage>189</lpage>
				</element-citation>
			</ref>
			<ref id="B10">
				<label>[10]</label>
				<mixed-citation>[10] Sterman, J.D., Business dynamics: systems thinking and modeling for a complex world. Massachusetts Institute of Technology Sloan School of Management, McGraw - Hill, Massachusetts, USA, 2000, 1008 P. ISBN: 978-0-07-231135-8</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<name>
							<surname>Sterman</surname>
							<given-names>J.D</given-names>
						</name>
					</person-group>
					<source>Business dynamics: systems thinking and modeling for a complex world</source>
					<publisher-name>Massachusetts Institute of Technology Sloan School of Management</publisher-name>
					<publisher-loc>McGraw - Hill, Massachusetts, USA</publisher-loc>
					<year>2000</year>
					<fpage>1008</fpage>
					<lpage>1008</lpage>
					<isbn>978-0-07-231135-8</isbn>
				</element-citation>
			</ref>
			<ref id="B11">
				<label>[11]</label>
				<mixed-citation>[11] Walrave, B. and Raven, R., Modelling the dynamics of technological innovation systems. Research Policy, 45(9), pp. 1833-1844, 2016. DOI: 10.1016/j.respol.2016.05.011</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Walrave</surname>
							<given-names>B.</given-names>
						</name>
						<name>
							<surname>Raven</surname>
							<given-names>R</given-names>
						</name>
					</person-group>
					<article-title>Modelling the dynamics of technological innovation systems</article-title>
					<source>Research Policy</source>
					<volume>45</volume>
					<issue>9</issue>
					<fpage>1833</fpage>
					<lpage>1844</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1016/j.respol.2016.05.011</pub-id>
				</element-citation>
			</ref>
			<ref id="B12">
				<label>[12]</label>
				<mixed-citation>[12] Schaffernicht, M., Indagación de situaciones dinámicas mediante la dinámica de sistemas. Talca: Editorial Universidad de Talca, 2007, 268 P.</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<name>
							<surname>Schaffernicht</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<source>Indagación de situaciones dinámicas mediante la dinámica de sistemas</source>
					<publisher-loc>Talca</publisher-loc>
					<publisher-name>Editorial Universidad de Talca</publisher-name>
					<year>2007</year>
					<fpage>268</fpage>
					<lpage>268</lpage>
				</element-citation>
			</ref>
			<ref id="B13">
				<label>[13]</label>
				<mixed-citation>[13] Avendaño, C.W.R., Responsabilidad social (RS) y responsabilidad social corporativa (RSC): Una nueva perspectiva para las empresas. Revista La Sallista de Investigación, 10(1), pp. 152-163, 2013. ISSN: 1794-4449</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Avendaño</surname>
							<given-names>C.W.R</given-names>
						</name>
					</person-group>
					<article-title>Responsabilidad social (RS) y responsabilidad social corporativa (RSC): Una nueva perspectiva para las empresas</article-title>
					<source>Revista La Sallista de Investigación</source>
					<volume>10</volume>
					<issue>1</issue>
					<fpage>152</fpage>
					<lpage>163</lpage>
					<year>2013</year>
					<issn>1794-4449</issn>
				</element-citation>
			</ref>
			<ref id="B14">
				<label>[14]</label>
				<mixed-citation>[14] Barcellos-de Paula, L., Modelos de gestión aplicados a la sostenibilidad empresarial, Tesis de doctorado, Universidad de Barcelona, Barcelona, 2010, 589 P.</mixed-citation>
				<element-citation publication-type="thesis">
					<person-group person-group-type="author">
						<name>
							<surname>Barcellos-de Paula</surname>
							<given-names>L.</given-names>
						</name>
					</person-group>
					<source>Modelos de gestión aplicados a la sostenibilidad empresarial</source>
					<comment content-type="degree">Tesis de doctorado</comment>
					<publisher-name>Universidad de Barcelona</publisher-name>
					<publisher-loc>Barcelona</publisher-loc>
					<year>2010</year>
					<fpage>589</fpage>
					<lpage>589</lpage>
				</element-citation>
			</ref>
			<ref id="B15">
				<label>[15]</label>
				<mixed-citation>[15] Maussa-Pérez, F.O., Modelo alternativo para la sostenibilidad empresarial. Cuadernos de Administración [En línea], 44, pp. 41-56, 2010. Disponible en: <ext-link ext-link-type="uri" xlink:href="http://www.scielo.org.co/pdf/cuadm/n44/v26n44a03.pdf">http://www.scielo.org.co/pdf/cuadm/n44/v26n44a03.pdf</ext-link>
				</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Maussa-Pérez</surname>
							<given-names>F.O</given-names>
						</name>
					</person-group>
					<article-title>Modelo alternativo para la sostenibilidad empresarial</article-title>
					<source>Cuadernos de Administración</source>
					<comment>En línea</comment>
					<volume>44</volume>
					<fpage>41</fpage>
					<lpage>56</lpage>
					<year>2010</year>
					<ext-link ext-link-type="uri" xlink:href="http://www.scielo.org.co/pdf/cuadm/n44/v26n44a03.pdf">http://www.scielo.org.co/pdf/cuadm/n44/v26n44a03.pdf</ext-link>
				</element-citation>
			</ref>
			<ref id="B16">
				<label>[16]</label>
				<mixed-citation>[16] Vintró, C., Sanmiguel, L. and Freijo, M., Environmental sustainability in the mining sector: evidence from Catalan companies. Journal of Cleaner Production, 84, pp. 155-163, 2014. DOI: 10.1016/j.jclepro.2013.12.069</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Vintró</surname>
							<given-names>C.</given-names>
						</name>
						<name>
							<surname>Sanmiguel</surname>
							<given-names>L.</given-names>
						</name>
						<name>
							<surname>Freijo</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<article-title>Environmental sustainability in the mining sector: evidence from Catalan companies</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>84</volume>
					<fpage>155</fpage>
					<lpage>163</lpage>
					<year>2014</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2013.12.069</pub-id>
				</element-citation>
			</ref>
			<ref id="B17">
				<label>[17]</label>
				<mixed-citation>[17] Maffini, C., Marques, J., Kruglianskas, I., Aparecida, L. and Schoproni, R., Management for sustainability in companies of the mining sector: Ananalysis of the main factors related with the business performance. Journal of Cleaner Production, 84, pp. 84-93, 2014. DOI: 10.1016/j.jclepro.2013.08.030</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Maffini</surname>
							<given-names>C.</given-names>
						</name>
						<name>
							<surname>Marques</surname>
							<given-names>J.</given-names>
						</name>
						<name>
							<surname>Kruglianskas</surname>
							<given-names>I.</given-names>
						</name>
						<name>
							<surname>Aparecida</surname>
							<given-names>L.</given-names>
						</name>
						<name>
							<surname>Schoproni</surname>
							<given-names>R</given-names>
						</name>
					</person-group>
					<article-title>Management for sustainability in companies of the mining sector: Ananalysis of the main factors related with the business performance</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>84</volume>
					<fpage>84</fpage>
					<lpage>93</lpage>
					<year>2014</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2013.08.030</pub-id>
				</element-citation>
			</ref>
			<ref id="B18">
				<label>[18]</label>
				<mixed-citation>[18] Poor, R. and Amiri, M., A system dynamics modeling approach for a multi-level, multi-product, multi-region supply chain under demand uncertainty. Expert Systems with Applications, 51, pp. 231-244, 2016. DOI: 10.1016/j.eswa.2015.12.043</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Poor</surname>
							<given-names>R.</given-names>
						</name>
						<name>
							<surname>Amiri</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<article-title>A system dynamics modeling approach for a multi-level, multi-product, multi-region supply chain under demand uncertainty</article-title>
					<source>Expert Systems with Applications</source>
					<volume>51</volume>
					<fpage>231</fpage>
					<lpage>244</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1016/j.eswa.2015.12.043</pub-id>
				</element-citation>
			</ref>
			<ref id="B19">
				<label>[19]</label>
				<mixed-citation>[19] García, J.M., Theory and practical exercises of system dynamics. Barcelona, España, 2017. ISBN: 978-8460998044</mixed-citation>
				<element-citation publication-type="book">
					<person-group person-group-type="author">
						<name>
							<surname>García</surname>
							<given-names>J.M</given-names>
						</name>
					</person-group>
					<source>Theory and practical exercises of system dynamics</source>
					<publisher-loc>Barcelona, España</publisher-loc>
					<year>2017</year>
					<isbn>978-8460998044</isbn>
				</element-citation>
			</ref>
			<ref id="B20">
				<label>[20]</label>
				<mixed-citation>[20] Gómez, U. and Gómez, O., Modelo de simulación para el proceso de producción en empresas de confección textil. Revista Sistemas &amp; Telemática, 11(24), pp. 73-89, 2013. ISSN: 1692-5238</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Gómez</surname>
							<given-names>U.</given-names>
						</name>
						<name>
							<surname>Gómez</surname>
							<given-names>O.</given-names>
						</name>
					</person-group>
					<article-title>Modelo de simulación para el proceso de producción en empresas de confección textil</article-title>
					<source>Revista Sistemas &amp; Telemática</source>
					<volume>11</volume>
					<issue>24</issue>
					<fpage>73</fpage>
					<lpage>89</lpage>
					<year>2013</year>
					<isbn>1692-5238</isbn>
				</element-citation>
			</ref>
			<ref id="B21">
				<label>[21]</label>
				<mixed-citation>[21] Berry, B., How a CEO can create a sustainable competitive advantage by modeling the company as a dynamic system. Proceedings of the 31st International Conference System Dynamics Society, Cambridge, Massachusetts, USA, 2013.</mixed-citation>
				<element-citation publication-type="confproc">
					<person-group person-group-type="author">
						<name>
							<surname>Berry</surname>
							<given-names>B.</given-names>
						</name>
					</person-group>
					<source>How a CEO can create a sustainable competitive advantage by modeling the company as a dynamic system</source>
					<conf-name>Proceedings of the 31st International Conference System Dynamics Society</conf-name>
					<conf-loc>Cambridge, Massachusetts, USA</conf-loc>
					<year>2013</year>
				</element-citation>
			</ref>
			<ref id="B22">
				<label>[22]</label>
				<mixed-citation>[22] Panagiotakopoulos, P.D., Espinosa, A. and Walker, J., Sustainability management: insights from the viable system model. Journal of Cleaner Production, 113, pp. 792-806, 2016. DOI: 10.1016/j.jclepro.2015.11.035</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Panagiotakopoulos</surname>
							<given-names>P.D.</given-names>
						</name>
						<name>
							<surname>Espinosa</surname>
							<given-names>A.</given-names>
						</name>
						<name>
							<surname>Walker</surname>
							<given-names>J.</given-names>
						</name>
					</person-group>
					<article-title>Sustainability management: insights from the viable system model</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>113</volume>
					<fpage>792</fpage>
					<lpage>806</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2015.11.035</pub-id>
				</element-citation>
			</ref>
			<ref id="B23">
				<label>[23]</label>
				<mixed-citation>[23] Ehsan, N., Daniell, K.A. and Najafi, H., Boundary matters: the potential of system dynamics to support. Journal of Cleaner Production, 140, pp. 312-323, 2017. DOI: 10.1016/j.jclepro.2016.03.032</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Ehsan</surname>
							<given-names>N.</given-names>
						</name>
						<name>
							<surname>Daniell</surname>
							<given-names>K.A.</given-names>
						</name>
						<name>
							<surname>Najafi</surname>
							<given-names>H.</given-names>
						</name>
					</person-group>
					<article-title>Boundary matters: the potential of system dynamics to support</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>140</volume>
					<fpage>312</fpage>
					<lpage>323</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2016.03.032</pub-id>
				</element-citation>
			</ref>
			<ref id="B24">
				<label>[24]</label>
				<mixed-citation>[24] Cosenz, F., Supporting start-up business model design through system dynamics modelling. Management Decision, 55(1), pp. 57-80, 2017. DOI: 10.1108/MD-06-2016-0395</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Cosenz</surname>
							<given-names>F</given-names>
						</name>
					</person-group>
					<article-title>Supporting start-up business model design through system dynamics modelling</article-title>
					<source>Management Decision</source>
					<volume>55</volume>
					<issue>1</issue>
					<fpage>57</fpage>
					<lpage>80</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1108/MD-06-2016-0395</pub-id>
				</element-citation>
			</ref>
			<ref id="B25">
				<label>[25]</label>
				<mixed-citation>[25] Panarotto, M., Walla, J. y Larsson, T., Simulation-driven design for assessing strategic decisions in the conceptual design of circular PSS business models. Proceedings of the 9th CIRP IPSS Conference: Circular Perspectives on Product/Service-Systems, 64, pp. 25-30, 2017. DOI: 10.1016/j.procir.2017.03.026</mixed-citation>
				<element-citation publication-type="confproc">
					<person-group person-group-type="author">
						<name>
							<surname>Panarotto</surname>
							<given-names>M.</given-names>
						</name>
						<name>
							<surname>Walla</surname>
							<given-names>J.</given-names>
						</name>
						<name>
							<surname>Larsson</surname>
							<given-names>T</given-names>
						</name>
					</person-group>
					<source>Simulation-driven design for assessing strategic decisions in the conceptual design of circular PSS business models</source>
					<conf-name>Proceedings of the 9th CIRP IPSS Conference: Circular Perspectives on Product/Service-Systems</conf-name>
					<volume>64</volume>
					<fpage>25</fpage>
					<lpage>30</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.procir.2017.03.026</pub-id>
				</element-citation>
			</ref>
			<ref id="B26">
				<label>[26]</label>
				<mixed-citation>[26] Jaghbeer, Y., Hallstedt, S.I., Larsson, T. and Wall, J., Exploration of simulation-driven support tools for sustainable product development. Procedia CIRP, 64, pp. 271-276, 2017. DOI: 10.1016/j.procir.2017.03.069</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Jaghbeer</surname>
							<given-names>Y.</given-names>
						</name>
						<name>
							<surname>Hallstedt</surname>
							<given-names>S.I.</given-names>
						</name>
						<name>
							<surname>Larsson</surname>
							<given-names>T.</given-names>
						</name>
						<name>
							<surname>Wall</surname>
							<given-names>J.</given-names>
						</name>
					</person-group>
					<article-title>Exploration of simulation-driven support tools for sustainable product development</article-title>
					<source>Procedia CIRP</source>
					<volume>64</volume>
					<fpage>271</fpage>
					<lpage>276</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.procir.2017.03.069</pub-id>
				</element-citation>
			</ref>
			<ref id="B27">
				<label>[27]</label>
				<mixed-citation>[27] Morgan, J.S., Howick, S. and Belton, V., A toolkit of designs for mixing discrete event simulation and system dynamics. European Journal of Operational Research, 257(3), pp. 907-918, 2017. DOI: 10.1016/j.ejor.2016.08.016</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Morgan</surname>
							<given-names>J.S.</given-names>
						</name>
						<name>
							<surname>Howick</surname>
							<given-names>S.</given-names>
						</name>
						<name>
							<surname>Belton</surname>
							<given-names>V</given-names>
						</name>
					</person-group>
					<article-title>A toolkit of designs for mixing discrete event simulation and system dynamics</article-title>
					<source>European Journal of Operational Research</source>
					<volume>257</volume>
					<issue>3</issue>
					<fpage>907</fpage>
					<lpage>918</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.ejor.2016.08.016</pub-id>
				</element-citation>
			</ref>
			<ref id="B28">
				<label>[28]</label>
				<mixed-citation>[28] Derwisch, S. and Löwe, P., Systems dynamics modelling in industrial development evaluation. Boletín IDS, 46(1), pp. 44-57, 2015. DOI: 10.1111/1759-5436.12120</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Derwisch</surname>
							<given-names>S.</given-names>
						</name>
						<name>
							<surname>Löwe</surname>
							<given-names>P</given-names>
						</name>
					</person-group>
					<article-title>Systems dynamics modelling in industrial development evaluation</article-title>
					<source>Boletín IDS</source>
					<volume>46</volume>
					<issue>1</issue>
					<fpage>44</fpage>
					<lpage>57</lpage>
					<year>2015</year>
					<pub-id pub-id-type="doi">10.1111/1759-5436.12120</pub-id>
				</element-citation>
			</ref>
			<ref id="B29">
				<label>[29]</label>
				<mixed-citation>[29] Rodrígez-Alvarado, L. and López-Ontiveros, M., Aplicación de técnicas de validación de un modelo de simulación de dinámica de sistemas, caso de estudio. Revista Latinoamericana de Ingeniería de Software, 4(4), pp. 187-196, 2016. ISSN: 2314-2642</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Rodrígez-Alvarado</surname>
							<given-names>L.</given-names>
						</name>
						<name>
							<surname>López-Ontiveros</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<article-title>Aplicación de técnicas de validación de un modelo de simulación de dinámica de sistemas, caso de estudio</article-title>
					<source>Revista Latinoamericana de Ingeniería de Software</source>
					<volume>4</volume>
					<issue>4</issue>
					<fpage>187</fpage>
					<lpage>196</lpage>
					<year>2016</year>
					<issn>2314-2642</issn>
				</element-citation>
			</ref>
			<ref id="B30">
				<label>[30]</label>
				<mixed-citation>[30] Poor, L.R.R. and Amiri, M., A system dynamics modeling approach for a multi-level, multi-product, multi-region supply chain under demand uncertainty. Expert Systems with Applications, 51, pp. 231-24, 2016. DOI: 10.1016/j.eswa.2015.12.043</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Poor</surname>
							<given-names>L.R.R.</given-names>
						</name>
						<name>
							<surname>Amiri</surname>
							<given-names>M.</given-names>
						</name>
					</person-group>
					<article-title>A system dynamics modeling approach for a multi-level, multi-product, multi-region supply chain under demand uncertainty</article-title>
					<source>Expert Systems with Applications</source>
					<volume>51</volume>
					<fpage>231</fpage>
					<lpage>224</lpage>
					<year>2016</year>
					<pub-id pub-id-type="doi">10.1016/j.eswa.2015.12.043</pub-id>
				</element-citation>
			</ref>
			<ref id="B31">
				<label>[31]</label>
				<mixed-citation>[31] Espinoza, A., Bautista, S., Narváez, P., Alfaro, M. and Camargo, M., Sustainability assessment to support governmental biodiesel policy in Colombia: A system dynamics model. Journal of Cleaner Production, 141, pp. 1145-1163, 2017. DOI: 10.1016/j.jclepro.2016.09.168</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Espinoza</surname>
							<given-names>A.</given-names>
						</name>
						<name>
							<surname>Bautista</surname>
							<given-names>S.</given-names>
						</name>
						<name>
							<surname>Narváez</surname>
							<given-names>P.</given-names>
						</name>
						<name>
							<surname>Alfaro</surname>
							<given-names>M.</given-names>
						</name>
						<name>
							<surname>Camargo</surname>
							<given-names>M</given-names>
						</name>
					</person-group>
					<article-title>Sustainability assessment to support governmental biodiesel policy in Colombia: A system dynamics model</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>141</volume>
					<fpage>1145</fpage>
					<lpage>1163</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2016.09.168</pub-id>
				</element-citation>
			</ref>
			<ref id="B32">
				<label>[32]</label>
				<mixed-citation>[32] Elsawah, S., Pierce, S.A., Hamilton, S.H., Delden, H.V., Haase, D., Elmahdi, A. and Jakeman, A.J., An overview of the system dynamics process for integrated modelling of socio-ecological systems: Lessons on good modelling practice from five case studies. Environmental Modelling and Software, pp. 127-145, 2017. DOI: 10.1016/j.envsoft.2017.03.001</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Elsawah</surname>
							<given-names>S.</given-names>
						</name>
						<name>
							<surname>Pierce</surname>
							<given-names>S.A.</given-names>
						</name>
						<name>
							<surname>Hamilton</surname>
							<given-names>S.H.</given-names>
						</name>
						<name>
							<surname>Delden</surname>
							<given-names>H.V.</given-names>
						</name>
						<name>
							<surname>Haase</surname>
							<given-names>D.</given-names>
						</name>
						<name>
							<surname>Elmahdi</surname>
							<given-names>A.</given-names>
						</name>
						<name>
							<surname>Jakeman</surname>
							<given-names>A.J</given-names>
						</name>
					</person-group>
					<article-title>An overview of the system dynamics process for integrated modelling of socio-ecological systems: Lessons on good modelling practice from five case studies</article-title>
					<source>Environmental Modelling and Software</source>
					<fpage>127</fpage>
					<lpage>145</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.envsoft.2017.03.001</pub-id>
				</element-citation>
			</ref>
			<ref id="B33">
				<label>[33]</label>
				<mixed-citation>[33] Bala, B.K., Arshad, F.M. and Noh, K.M., Systems thinking: system dynamics. In: System Dynamics. Springer Texts in Business and Economics, Springer, Singapore, pp 15-35, 2017. DOI: 10.1007/978-981-10-2045-2_2</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Bala</surname>
							<given-names>B.K.</given-names>
						</name>
						<name>
							<surname>Arshad</surname>
							<given-names>F.M.</given-names>
						</name>
						<name>
							<surname>Noh</surname>
							<given-names>K.M</given-names>
						</name>
					</person-group>
					<article-title>Systems thinking: system dynamics. In: System Dynamics</article-title>
					<source>Springer Texts in Business and Economics</source>
					<publisher-loc>Springer, Singapore</publisher-loc>
					<fpage>15</fpage>
					<lpage>35</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1007/978-981-10-2045-2_2</pub-id>
				</element-citation>
			</ref>
			<ref id="B34">
				<label>[34]</label>
				<mixed-citation>[34] Zhang, Y., Zhao, T., Zhang, Z., Wa, J., Feng, X., Liang, X. and Zhou, A., Modeling and dynamic assessment on sustainable development of drainage enterprise: Application of a coupled system dynamics comprehensive assessment model. Journal of Cleaner Production, 141, pp. 157-167, 2017. DOI: 10.1016/j.jclepro.2016.09.055</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Zhang</surname>
							<given-names>Y.</given-names>
						</name>
						<name>
							<surname>Zhao</surname>
							<given-names>T.</given-names>
						</name>
						<name>
							<surname>Zhang</surname>
							<given-names>Z.</given-names>
						</name>
						<name>
							<surname>Wa</surname>
							<given-names>J.</given-names>
						</name>
						<name>
							<surname>Feng</surname>
							<given-names>X.</given-names>
						</name>
						<name>
							<surname>Liang</surname>
							<given-names>X.</given-names>
						</name>
						<name>
							<surname>Zhou</surname>
							<given-names>A</given-names>
						</name>
					</person-group>
					<article-title>Modeling and dynamic assessment on sustainable development of drainage enterprise: Application of a coupled system dynamics comprehensive assessment model</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>141</volume>
					<fpage>157</fpage>
					<lpage>167</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2016.09.055</pub-id>
				</element-citation>
			</ref>
			<ref id="B35">
				<label>[35]</label>
				<mixed-citation>[35] Zhao, B., Tang, T. and Ning, B., System dynamics approach for modelling the variation of organizational factors for risk control in automatic metro. Safety Science, 94, pp. 128-142, 2017. DOI: 10.1016/j.ssci.2017.01.002</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Zhao</surname>
							<given-names>B.</given-names>
						</name>
						<name>
							<surname>Tang</surname>
							<given-names>T.</given-names>
						</name>
						<name>
							<surname>Ning</surname>
							<given-names>B</given-names>
						</name>
					</person-group>
					<article-title>System dynamics approach for modelling the variation of organizational factors for risk control in automatic metro</article-title>
					<source>Safety Science</source>
					<volume>94</volume>
					<fpage>128</fpage>
					<lpage>142</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.ssci.2017.01.002</pub-id>
				</element-citation>
			</ref>
			<ref id="B36">
				<label>[36]</label>
				<mixed-citation>[36] Williams, A., Kennedy, S., Phili, F. and Whiteman, G., Systems thinking: A review of sustainability management research. Journal of Cleaner Production, 148, pp. 866-881, 2017. DOI: 10.1016/j.jclepro.2017.02.002</mixed-citation>
				<element-citation publication-type="journal">
					<person-group person-group-type="author">
						<name>
							<surname>Williams</surname>
							<given-names>A.</given-names>
						</name>
						<name>
							<surname>Kennedy</surname>
							<given-names>S.</given-names>
						</name>
						<name>
							<surname>Phili</surname>
							<given-names>F.</given-names>
						</name>
						<name>
							<surname>Whiteman</surname>
							<given-names>G</given-names>
						</name>
					</person-group>
					<article-title>Systems thinking: A review of sustainability management research</article-title>
					<source>Journal of Cleaner Production</source>
					<volume>148</volume>
					<fpage>866</fpage>
					<lpage>881</lpage>
					<year>2017</year>
					<pub-id pub-id-type="doi">10.1016/j.jclepro.2017.02.002</pub-id>
				</element-citation>
			</ref>
		</ref-list>
		<fn-group>
			<fn fn-type="other" id="fn1">
				<label>How to cite:</label>
				<p> Valencia-Rodríguez, O., Olivar-Tost, G. and Redondo, J.M., Modeling a productive system incorporating elements of business sustainability. DYNA, 85(207), pp. 113-122, Octubre - Diciembre, 2018.</p>
			</fn>
		</fn-group>
		<fn-group>
			<fn fn-type="other" id="fn2">
				<label>O. Valencia-Rodríguez,</label>
				<p> has been the BSc. an Industrial Engineer since 1996, from the Universidad Nacional de Colombia, Manizales, Colombia. He is a Sp. in Management Development graduating in 2001 from the Universidad Autónoma de Manizales, Colombia. He has a MSc. in Operative Investigation and Statistics which he gained in 2010 from the Universidad Tecnológica de Pereira, Colombia. He is a Dr(c) in Engineering gained from the Universidad Nacional de Colombia, Manizales, Colombia.He has been a professor, since 2014, in the Industrial Engineering Department, Universidad Nacional de Colombia, Manizales, Colombia, and since 2003, in the Department of Physics and Mathematics in the Universidad Autónoma, Manizales, Colombia. His areas of interest are: Systems dynamics, operational investigation, statistic, and statistical quality control. ORCID: 0000-0002-7918-0723</p>
			</fn>
			<fn fn-type="other" id="fn3">
				<label>G. Olivar-Tost,</label>
				<p> is a BSc. in Mathematician who graduated from the Universidad de Barcelona, Spain, in 1987. He is a Dr. in Science (Mathematics) gained in 1997 from the Universidad Politécnica, Catalonia, Spain. He is an investigative professor in the Department of Mathematics and Statistics in the Universidad Nacional de Colombia, Manizales, Colombia, since 2005. He has served as: Director of the GTA ABC Dynamics research group, researcher at the Center for Basic and Applied Interdisciplinary Studies (Ceiba), Director of the Directorate of Manizales Research - DIMA. His areas of interest are: dynamic systems, chaos theory, modeling of complex systems. ORCID: 0000-0003-1862-4842</p>
			</fn>
			<fn fn-type="other" id="fn4">
				<label>J.M. Redondo,</label>
				<p> is a BSc. an Environmental Engineer who graduated in 2004 from the University Corporation of Science and Development - UNICIENCIA, Bogotá, Colombia. A Sp. in Applied Mathematics in 2005, MSc. in Teaching and University Research in 2009 and MSc. in Environmental Management and Evaluation in 2014, all of them from Universidad de Sergio Arboleda, Bogotá, Colombia. He is a Dr. in Engineering in 2013. He did a Post-doctorate in 2015 at the Universidad Nacional de Colombia, Manizales, Colombia. He was a professor and researcher at the Universidad de Sergio Arboleda between 2006 and 2015. He is currently a professor at the Universidad Católica de Colombia and a business consultant. His areas of interest are: systems dynamics, applied mathematics to organizations, complexity and environmental sciences. ORCID: 0000-0002-9427-1324.</p>
			</fn>
		</fn-group>
	</back>
</article>