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Capacity and material requirement planning modelling by comparing deterministic and fuzzy models

Author

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  • J. Mula
  • R. Poler
  • J. P. Garcia-Sabater

Abstract

A model for the capacity and material requirement planning problem with uncertainty in a multi-product, multi-level and multi-period manufacturing environment is proposed. An optimization model is formulated which takes into account the uncertainty that exists in both the market demand and capacity data, and the uncertain costs for backlog. This work uses the concept of possibilistic programming by comparing trapezoidal fuzzy numbers. Such an approach makes it possible to model the ambiguity in market demand, capacity data, cost information, etc. that could be present in production planning systems. The main goal is to determine the master production schedule, stock levels, backlog, and capacity usage levels over a given planning horizon in such a way as to hedge against the uncertainty. Finally, the fuzzy model and the deterministic model adopted as the basis of this work are compared using real data from an automobile seat manufacturer. The paper concludes that fuzzy numbers could improve the solution of production planning problems.

Suggested Citation

  • J. Mula & R. Poler & J. P. Garcia-Sabater, 2008. "Capacity and material requirement planning modelling by comparing deterministic and fuzzy models," International Journal of Production Research, Taylor & Francis Journals, vol. 46(20), pages 5589-5606, January.
    • Handle: RePEc:taf:tprsxx:v:46:y:2008:i:20:p:5589-5606
    DOI: 10.1080/00207540701413912
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    Citations

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    Cited by:

    1. Antonio G. Martín & Manuel Díaz-Madroñero & Josefa Mula, 2020. "Master production schedule using robust optimization approaches in an automobile second-tier supplier," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 143-166, March.
    2. Manuel Díaz-Madroñero & Josefa Mula & Mariano Jiménez & David Peidro, 2017. "A rolling horizon approach for material requirement planning under fuzzy lead times," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2197-2211, April.
    3. Mula, Josefa & Peidro, David & Poler, Raul, 2010. "The effectiveness of a fuzzy mathematical programming approach for supply chain production planning with fuzzy demand," International Journal of Production Economics, Elsevier, vol. 128(1), pages 136-143, November.
    4. Swaminathan, Kritika & Venkitasubramony, Rakesh, 2024. "Demand forecasting for fashion products: A systematic review," International Journal of Forecasting, Elsevier, vol. 40(1), pages 247-267.

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