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A dynamic model for the optimization of decoupling point and production planning in a supply chain

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  • Jeong, In-Jae

Abstract

In this paper, we propose a dynamic model to simultaneously determine the optimal position of the decoupling point and production-inventory plan in a supply chain such that the total cost of the deviation from the target production rate and the target inventory level is minimized. Using the optimal control theory, we derive the closed form of the optimal solution when the production smoothing policy and the zero-inventory policy are applied. The result indicates that under the production smoothing policy, the overestimation of demand rate during the pre-decoupling stage guarantees the existence of the optimal decoupling point; meanwhile the optimal decoupling point exists under zero-inventory policy when the demand rate is underestimated. Also we perform mathematical analysis on the behavior of the optimal production rate and the inventory level and the effect of problem parameters such as the length of the product life cycle and the forecast error on the performance.

Suggested Citation

  • Jeong, In-Jae, 2011. "A dynamic model for the optimization of decoupling point and production planning in a supply chain," International Journal of Production Economics, Elsevier, vol. 131(2), pages 561-567, June.
  • Handle: RePEc:eee:proeco:v:131:y:2011:i:2:p:561-567
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    Cited by:

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    2. Zhiming Shi & Yisong Li & Gábor Bohács & Qiang Zhou, 2022. "A Study on Optimal Location Selection and Semi-Finished Product Inventory Allocation in the Steel Industry," Sustainability, MDPI, vol. 14(22), pages 1-21, November.
    3. Iman Ghalehkhondabi & Dusan Sormaz & Gary Weckman, 2016. "Multiple customer order decoupling points within a hybrid MTS/MTO manufacturing supply chain with uncertain demands in two consecutive echelons," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 976-997, December.
    4. Aijun Liu & John Fowler & Michele Pfund, 2016. "Dynamic co-ordinated scheduling in the supply chain considering flexible routes," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 322-335, January.

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