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


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


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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    Cited by:

    1. repec:eee:proeco:v:193:y:2017:i:c:p:633-646 is not listed on IDEAS
    2. 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.
    3. 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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