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Emergency orders in the periodic-review inventory system with fixed ordering costs and compound Poisson demand

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  • Johansen, Søren Glud
  • Thorstenson, Anders

Abstract

Emergency orders have shorter lead times but incur extra costs compared to normal orders. We present a discrete-time Markov decision model where normal orders are issued according to a reorder point policy with a fixed order quantity, whereas emergency orders are controlled by a state-dependent reorder point policy with a target stock level. A rapid policy iteration algorithm is used to find and evaluate the policy that minimizes the long-run average cost per review period. In addition to fixed and variable costs for normal and emergency orders our model includes linear holding and backorder costs. The review period is of any given length. Neither the normal order nor the emergency order lead time are required to be integer multiples of the review period.

Suggested Citation

  • Johansen, Søren Glud & Thorstenson, Anders, 2014. "Emergency orders in the periodic-review inventory system with fixed ordering costs and compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 157(C), pages 147-157.
    • Handle: RePEc:eee:proeco:v:157:y:2014:i:c:p:147-157
    DOI: 10.1016/j.ijpe.2014.07.013
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    References listed on IDEAS

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    4. Hu, Man & Liu, Xue-Xin & Jia, Fu, 2024. "Optimal Emergency Order Policy for Supply Disruptions in the Semiconductor Industry," International Journal of Production Economics, Elsevier, vol. 272(C).
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    7. Topan, E. & Eruguz, A.S. & Ma, W. & van der Heijden, M.C. & Dekker, R., 2020. "A review of operational spare parts service logistics in service control towers," European Journal of Operational Research, Elsevier, vol. 282(2), pages 401-414.

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