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Optimization in Territorial Partitioning to Improve the Performance of a Common Building Maintenance Service Contract: A Case Study of a Public Agency in Paraná State, Brazil
Optimización en la partición territorial para mejorar el desempeño de un contrato común de servicios de mantenimiento de edificios: un estudio de caso de una agencia pública en el Estado de Paraná, Brasil
DOI:
https://doi.org/10.15446/ing.investig.105143Keywords:
Public administration contracts, Facility Location Problem, maintenance management, binary integer linear programming (en)contratos de administración pública, gestión de mantenimiento, programación lineal entera binaria, problema de ubicación de instalaciones (es)
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All public administration contracts must be evaluated in order to improve their performance while respecting the limits established by laws and regulations. The purpose of this article is to apply an approach to improve the performance of a common building maintenance service contract for the Paraná State Court of Justice (PRCJ), which has a total built area of 544 283,79 m² in 224 buildings distributed over 161 counties, by optimizing the territorial partitioning of Paraná State. To partition the state into 14 regions, a binary integer linear programming (BILP) mathematical model is applied to the facilities location problem (FLP) in three scenarios. The results show that Scenario 3 (in which the location of the 14 maintenance offices and the configuration of their areas of activity were optimized) is the best in terms of minimizing the distances traveled by maintenance teams. In this scenario, the total distance traveled would be 9 775 km per day (instead of the current 11 150 km), achieving savings of around 12,3% when compared to the current solution. With this solution, in addition to the distance, the direct and indirect costs associated with the displacement of work teams and the time spent on their corresponding trips would be minimized. Furthermore, the users of maintenance services could be served more quickly, resulting in a higher number of services and greater satisfaction for the target audience of the contract.
Todos los contratos de la administración pública deben ser evaluados a fin de mejorar su ejecución, respetando los límites establecidos por las leyes y los reglamentos. El objetivo de este artículo es aplicar un enfoque para mejorar el desempeño de un contrato de servicio común de mantenimiento de edificios en la Corte de Justicia del Estado de Paraná (PRCJ), que tiene un área total construida de 544 283,79 m² en 224 edificios distribuidos en 161 municipios, optimizando la partición territorial del Estado de Paraná. Para dividir el estado en 14 regiones, se aplicó un modelo matemático de programación lineal entera binaria (BILP) al problema de ubicación de instalaciones (FLP) en tres escenarios. Los resultados muestran que el Escenario 3 (en el que se optimizó la ubicación de las 14 oficinas de mantenimiento y la configuración de sus áreas de actividad) es el mejor escenario en cuanto a la minimización de las distancias recorridas por los equipos de mantenimiento. En este escenario, la distancia total recorrida sería de 9 775 km diarios (en lugar de los 11 150 km actuales), consiguiendo un ahorro en torno al 12,3 % respecto a la solución actual. Con esta solución, además de la distancia, se minimizarían los costos directos e indirectos relacionados con el desplazamiento de los equipos de trabajo y el tiempo empleado en sus respectivos viajes. Además, los usuarios de los servicios de mantenimiento podrían ser atendidos más rápidamente, lo que redundaría en un mayor número de servicios y una mayor satisfacción del público objetivo del contrato.
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Copyright (c) 2024 Alexandre Arns Steiner, David Gabriel de Barros Franco, Elpídio O. B. Nara, Maria Teresinha Arns Steiner
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