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A generalized algebraic model for optimizing inventory decisions in a multi-stage complex supply chain

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  • Seliaman, M.E.
  • Ahmad, Ab Rahman

Abstract

In this paper, we deal with more generalized inventory coordination mechanism in an n-stage, multi-customer, non-serial supply chain, where we extend and generalize pervious works that use algebraic methods to optimize this coordinated supply chain. We establish the recursive expressions for this multi-variable optimization problem. These expressions are used for the derivation of the optimal replenishment policy and the development of the solution algorithm. Further, we describe a simple procedure that can help in sharing the coordination cost benefits to induce all stages to adopt the inventory coordination mechanism. We provide a numerical example for illustrative purposes.

Suggested Citation

  • Seliaman, M.E. & Ahmad, Ab Rahman, 2009. "A generalized algebraic model for optimizing inventory decisions in a multi-stage complex supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 409-418, May.
    • Handle: RePEc:eee:transe:v:45:y:2009:i:3:p:409-418
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    Citations

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    Cited by:

    1. Beck, Fabian G. & Glock, Christoph H. & Kim, Taebok, 2017. "Coordination of a production network with a single buyer and multiple vendors with geometrically increasing batch shipments," International Journal of Production Economics, Elsevier, vol. 193(C), pages 633-646.
    2. Mohamed E. Seliaman, 2013. "Optimizing the Two-Stage Supply Chain Inventory Model with Full Information Sharing and Two Backorders Costs Using Hybrid Geometric-Algebraic Method," Journal of Optimization, Hindawi, vol. 2013, pages 1-5, May.
    3. Flavio Molina & Reinaldo Morabito & Silvio Alexandre de Araujo, 2016. "MIP models for production lot sizing problems with distribution costs and cargo arrangement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1395-1407, November.
    4. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.

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