Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Published
Flexible linear programming with fuzzy constraints
Programación lineal flexible con restricciones difusas
Keywords:
fuzzy set, linear programming, parametric optimisation (en)conjuntos difusos, programación lineal, optimización paramétrica (es)
Downloads
The present work shows the basic concepts underlying flexible linear programming or linear programming with fuzzy constraints. The literature often presents this methodology related to inequality constraints. This works deals with a methodology for box and equality constrains; it shows how this type of problem is similar to parametric optimisation. Two examples are given to show the advantage of using this methodology.
El presente trabajo tiene como objetivo presentar los conceptos básicos de la programación lineal flexible o programación lineal con restricciones difusas. Dado que la literatura presenta dicha metodología para restricciones de desigualdad, se formula una metodología para restricciones de igualdad y de caja. Se muestra cómo un problema de este tipo equivale a uno de optimización paramétrica. Finalmente, se presentan dos ejemplos ilustrativos en los cuales se muestra la ventaja de la metodología al mejorar la solución óptima y, por otro lado, la obtención de una región factible en problemas con espacio de soluciones vacío.
Downloads
References
Buckley, J., Esfandiar E. An introduction to fuzzy logic and fuzzy sets., Heidelberg: Physica-Verlag, 2002.
Cárdenas, J., Verdegay, J., Modelos de optimización con datos imprecisos Servicio de Publicaciones., Universidad de Murcia, 1999.
Jaroslav, R., Soft Computing: Overview and Recent Developments in Fuzzy Optimization., Ostravská univerzita. Listopad, 2001.
Smith, R., Jaramillo, P., Poveda, G., Mesa, O., Dyner, I., Valencia, D., Decisiones con múltiples objetivos e incertidumbre., Facultad de Minas Universidad Nacional de Colombia, Sede Medellín, 2 Edición, 2000.
Taha, H., Investigación de Operaciones., Séptima edición, Editorial Pearson, 2004.
Vasant, P., Optimization in product mix problem using fuzzy linear programming., Department of Mathematics, American degree Program, Nilai International College. Malasia, 2004.
Winston, W., Investigación de Operaciones: Aplicaciones y algoritmos., Séptima edición, Editorial Thomson, 2005
License
Copyright (c) 2008 Héctor Andrés López Ospina, Mauricio Restrepo López
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.
