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Three time-based scale formulations for the two-stage lot sizing and scheduling in process industries

Author

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  • V C B Camargo

    (1] Universidade do Porto, Porto, Portugal[2] Universidade de São Paulo, São Carlos, Brazil)

  • F M B Toledo

    (Universidade de São Paulo, São Carlos, Brazil)

  • B Almada-Lobo

    (Universidade do Porto, Porto, Portugal)

Abstract

In this paper, we propose three novel mathematical models for the two-stage lot-sizing and scheduling problems present in many process industries. The problem shares a continuous or quasi-continuous production feature upstream and a discrete manufacturing feature downstream, which must be synchronized. Different time-based scale representations are discussed. The first formulation encompasses a discrete-time representation. The second one is a hybrid continuous-discrete model. The last formulation is based on a continuous-time model representation. Computational tests with state-of-the-art MIP solver show that the discrete-time representation provides better feasible solutions in short running time. On the other hand, the hybrid model achieves better solutions for longer computational times and was able to prove optimality more often. The continuous-type model is the most flexible of the three for incorporating additional operational requirements, at a cost of having the worst computational performance.

Suggested Citation

  • V C B Camargo & F M B Toledo & B Almada-Lobo, 2012. "Three time-based scale formulations for the two-stage lot sizing and scheduling in process industries," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1613-1630, November.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:11:p:1613-1630
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    Citations

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    Cited by:

    1. Alyne Toscano & Deisemara Ferreira & Reinaldo Morabito, 2019. "A decomposition heuristic to solve the two-stage lot sizing and scheduling problem with temporal cleaning," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 142-173, March.
    2. Lee, Younsoo & Lee, Kyungsik, 2022. "New integer optimization models and an approximate dynamic programming algorithm for the lot-sizing and scheduling problem with sequence-dependent setups," European Journal of Operational Research, Elsevier, vol. 302(1), pages 230-243.
    3. Martin Wörbelauer & Herbert Meyr & Bernardo Almada-Lobo, 2019. "Simultaneous lotsizing and scheduling considering secondary resources: a general model, literature review and classification," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 1-43, March.
    4. Karina Copil & Martin Wörbelauer & Herbert Meyr & Horst Tempelmeier, 2017. "Simultaneous lotsizing and scheduling problems: a classification and review of models," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 1-64, January.
    5. Camargo, Victor C.B. & Toledo, Franklina M.B. & Almada-Lobo, Bernardo, 2014. "HOPS – Hamming-Oriented Partition Search for production planning in the spinning industry," European Journal of Operational Research, Elsevier, vol. 234(1), pages 266-277.
    6. Wei, Wenchao & Guimarães, Luis & Amorim, Pedro & Almada-Lobo, Bernardo, 2017. "Tactical production and distribution planning with dependency issues on the production process," Omega, Elsevier, vol. 67(C), pages 99-114.

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