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Plan maestro de producción basado en programación lineal entera para una empresa de productos químicos || Master Production Scheduling Based on Integer Linear Programming for a Chemical Company

Author

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  • Reyes Zotelo, Yunuem

    (Sección de Estudios de Posgrado e Investigación. Unidad Profesional Interdisciplinaria de Ingeniería y Ciencias Sociales y Administrativas, Instituto Politécnico Nacional (México))

  • Mula, Josefa

    (Centro de Investigación en Gestión e Ingeniería de Producción. Universitat Politècnica de València (España))

  • Díaz-Madroñero, Manuel

    (Centro de Investigación en Gestión e Ingeniería de Producción. Universitat Politècnica de València (España))

  • Gutiérrez González, Eduardo

    (Sección de Estudios de Posgrado e Investigación. Unidad Profesional Interdisciplinaria de Ingeniería y Ciencias Sociales y Administrativas, Instituto Politécnico Nacional (México))

Abstract

En este trabajo se propone un modelo de programación lineal entera para planificar la producción de un conjunto de artículos finales con demanda independiente. El modelo para la planificación maestra de producción (PMP) está diseñado considerando los costes de producción e inventario, así como las restricciones definidas por el mismo proceso productivo en cuanto a instalaciones y tiempos de producción. El objetivo del modelo propuesto es la minimización de los costes implicados; concretamente, el tiempo ocioso y extra de los recursos, así como la consideración de un nivel mínimo de servicio ligado a la demanda diferida. La validación del modelo considera datos pertenecientes a la demanda de cada producto en un horizonte de 12 semanas y compara cinco escenarios en los que se modifican algunos aspectos del sistema y diferentes niveles de servicio. Por último, los resultados obtenidos para cada uno de los escenarios exponen la mejora obtenida por el modelo propuesto respecto al procedimiento actual en la empresa objeto de estudio. || In this work, we propose an integer linear programming model for production scheduling of a group of finished products with independent demand. The model for the master production scheduling (MPS) is designed by considering production and inventory costs, as well as the productive process constraints regarding installations and production times. The aim of the proposed model is the minimization of the costs involved; specifically, undertime and overtime costs of resources, as well as the consideration of a minimum service level related to the deferred demand. The validation of the model considers data belonging to the demand of each product in a 12-week planning horizon and compares five scenarios in which some characteristics of the system and different service levels are modified. Finally, the results obtained for each one of the scenarios expose the improvement obtained by the proposed model with regard to the current procedure in the studied company.

Suggested Citation

  • Reyes Zotelo, Yunuem & Mula, Josefa & Díaz-Madroñero, Manuel & Gutiérrez González, Eduardo, 2017. "Plan maestro de producción basado en programación lineal entera para una empresa de productos químicos || Master Production Scheduling Based on Integer Linear Programming for a Chemical Company," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 24(1), pages 147-168, Diciembre.
    • Handle: RePEc:pab:rmcpee:v:24:y:2018:i:1:p:147-168
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    References listed on IDEAS

    as
    1. L. S. Lasdon & R. C. Terjung, 1971. "An Efficient Algorithm for Multi-Item Scheduling," Operations Research, INFORMS, vol. 19(4), pages 946-969, August.
    2. Mahmood Ul Hassan & Pär Stockhammar, 2016. "Fitting probability distributions to economic growth: a maximum likelihood approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(9), pages 1583-1603, July.
    3. Mula, J. & Poler, R. & Garcia-Sabater, J.P. & Lario, F.C., 2006. "Models for production planning under uncertainty: A review," International Journal of Production Economics, Elsevier, vol. 103(1), pages 271-285, September.
    4. Bernard P. Dzielinski & Ralph E. Gomory, 1965. "Optimal Programming of Lot Sizes, Inventory and Labor Allocations," Management Science, INFORMS, vol. 11(9), pages 874-890, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    planificación de la producción; plan maestro de producción (PMP); programación lineal entera; industria química; production planning; master production scheduling (MPS); integer linear programming; chemical industry;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • L00 - Industrial Organization - - General - - - General

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