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Simulation-based optimization of a single-stage failure-prone manufacturing system with transportation delay

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  • Mourani, Iyad
  • Hennequin, Sophie
  • Xie, Xiaolan

Abstract

This paper addresses the optimization of the continuous-flow model of a single-stage single-product manufacturing system with constant demand and transportation delay from the machine to the inventory. The machine is subject to either time-dependent or operation-dependent failures. The production is controlled by a hedging point policy. The goal is to determine the optimal hedging point, which minimizes the long-run average inventory holding and backlogging cost. Sample path analysis shows that the cost function is convex and sample gradient estimators are derived. A bi-section search algorithm based on simulation and sample gradients is proposed to determine the optimal hedging point.

Suggested Citation

  • Mourani, Iyad & Hennequin, Sophie & Xie, Xiaolan, 2008. "Simulation-based optimization of a single-stage failure-prone manufacturing system with transportation delay," International Journal of Production Economics, Elsevier, vol. 112(1), pages 26-36, March.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:26-36
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    1. Y. Wardi & B. Melamed & C.G. Cassandras & C.G. Panayiòtou, 2002. "Online IPA Gradient Estimators in Stochastic Continuous Fluid Models," Journal of Optimization Theory and Applications, Springer, vol. 115(2), pages 369-405, November.
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    4. Christian van Delft & A. Haurie & Pierre L'Ecuyer, 1994. "Convergence of stochastic approximation coupled with perturbation analysis in a class of manufacturing flow control models," Post-Print hal-00471357, HAL.
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    2. Dhahri, Akrem & Gharbi, Ali & Ouhimmou, Mustapha, 2022. "Integrated production-transshipment control policy for a two-location unreliable manufacturing system," International Journal of Production Economics, Elsevier, vol. 247(C).
    3. Assid, M. & Gharbi, A. & Dhouib, K., 2015. "Joint production and subcontracting planning of unreliable multi-facility multi-product production systems," Omega, Elsevier, vol. 50(C), pages 54-69.
    4. Sadok Turki & Stanislav Didukh & Christophe Sauvey & Nidhal Rezg, 2017. "Optimization and Analysis of a Manufacturing–Remanufacturing–Transport–Warehousing System within a Closed-Loop Supply Chain," Sustainability, MDPI, vol. 9(4), pages 1-20, April.
    5. Rivera-Gómez, Héctor & Gharbi, Ali & Kenné, Jean Pierre, 2013. "Joint production and major maintenance planning policy of a manufacturing system with deteriorating quality," International Journal of Production Economics, Elsevier, vol. 146(2), pages 575-587.
    6. Bouslah, Bassem & Gharbi, Ali & Pellerin, Robert, 2013. "Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system," International Journal of Production Economics, Elsevier, vol. 144(1), pages 143-156.
    7. (Yale) Gong, Yeming & Yücesan, Enver, 2012. "Stochastic optimization for transshipment problems with positive replenishment lead times," International Journal of Production Economics, Elsevier, vol. 135(1), pages 61-72.

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