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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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    1. Lee, L.H. & Lee, C. & Bao, J., 2006. "Inventory control in the presence of an electronic marketplace," European Journal of Operational Research, Elsevier, vol. 174(2), pages 797-815, October.
    2. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    3. Alvarez, E.M. & van der Heijden, M.C. & Zijm, W.H.M., 2013. "The selective use of emergency shipments for service-contract differentiation," International Journal of Production Economics, Elsevier, vol. 143(2), pages 518-526.
    4. Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2003. "Inventory Models with Fixed Costs, Forecast Updates, and Two Delivery Modes," Operations Research, INFORMS, vol. 51(2), pages 321-328, April.
    5. Johansen, Soren Glud & Thorstenson, Anders, 1998. "An inventory model with Poisson demands and emergency orders," International Journal of Production Economics, Elsevier, vol. 56(1), pages 275-289, September.
    6. F R Johnston & J E Boylan & E A Shale, 2003. "An examination of the size of orders from customers, their characterisation and the implications for inventory control of slow moving items," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 833-837, August.
    7. Awi Federgruen & Yu-Sheng Zheng, 1992. "An Efficient Algorithm for Computing an Optimal (r, Q) Policy in Continuous Review Stochastic Inventory Systems," Operations Research, INFORMS, vol. 40(4), pages 808-813, August.
    8. Yu-Sheng Zheng & A. Federgruen, 1991. "Finding Optimal (s, S) Policies Is About As Simple As Evaluating a Single Policy," Operations Research, INFORMS, vol. 39(4), pages 654-665, August.
    9. Jing-Sheng Song & Paul Zipkin, 2009. "Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses," Management Science, INFORMS, vol. 55(3), pages 362-372, March.
    10. Anshul Sheopuri & Ganesh Janakiraman & Sridhar Seshadri, 2010. "New Policies for the Stochastic Inventory Control Problem with Two Supply Sources," Operations Research, INFORMS, vol. 58(3), pages 734-745, June.
    11. Kamran Moinzadeh & Steven Nahmias, 1988. "A Continuous Review Model for an Inventory System with Two Supply Modes," Management Science, INFORMS, vol. 34(6), pages 761-773, June.
    12. Mohebbi, Esmail & Posner, Morton J. M., 1999. "A lost-sales continuous-review inventory system with emergency ordering," International Journal of Production Economics, Elsevier, vol. 58(1), pages 93-112, January.
    13. Eric Logan Huggins & Tava Lennon Olsen, 2010. "Inventory Control with Generalized Expediting," Operations Research, INFORMS, vol. 58(5), pages 1414-1426, October.
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    Cited by:

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    7. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.

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