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An integrated production-inventory system in a multi-stage multi-firm supply chain


  • Leung, Kit Nam Francis


We first generalize a number of integrated models with/without lot streaming and with/without complete backorders under the integer-multiplier coordination mechanism, and then individually derive the optimal solution to the three- and four-stage model, using algebraic methods of complete squares and perfect squares. We subsequently deduce optimal expressions for some well-known models. For our model, we check that the optimal solution, which is algebraically derived, is a global one. We present three numerical examples for illustrative purposes. We finally suggest some future research work involving extension or modification of the generalized model.

Suggested Citation

  • Leung, Kit Nam Francis, 2010. "An integrated production-inventory system in a multi-stage multi-firm supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 32-48, January.
  • Handle: RePEc:eee:transe:v:46:y:2010:i:1:p:32-48

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