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Perishable inventory systems with variable input and demand rates

Author

Listed:
  • Steven Nahmias
  • David Perry
  • Wolfgang Stadje

Abstract

We consider a certain class of perishable inventory systems with items and demands arriving at random times. The shelf lifetime of every item is finite and deterministic. Every demand is for a single item and is satisfied by the oldest item on the shelf, if available. Generalizing previous work, we assume that the input and/or the demand rate depend on the current value of the basic virtual outdating process (VOT). For different models of this kind we derive the steady-state distribution of the VOT and of the number of items on the shelf. Copyright Springer-Verlag 2004

Suggested Citation

  • Steven Nahmias & David Perry & Wolfgang Stadje, 2004. "Perishable inventory systems with variable input and demand rates," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 155-162, September.
    • Handle: RePEc:spr:mathme:v:60:y:2004:i:1:p:155-162
    DOI: 10.1007/s001860300335
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    Citations

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    Cited by:

    1. Sharfuddin Lisan, 2018. "Safety stock determination of uncertain demand and mutually dependent variables," International Journal of Business and Social Research, MIR Center for Socio-Economic Research, vol. 8(3), pages 1-11, March.
    2. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2014. "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Elsevier, vol. 155(C), pages 406-417.
    3. Kouki, Chaaben & Jouini, Oualid, 2015. "On the effect of lifetime variability on the performance of inventory systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 23-34.
    4. Philipp Afèche & Adam Diamant & Joseph Milner, 2014. "Double-Sided Batch Queues with Abandonment: Modeling Crossing Networks," Operations Research, INFORMS, vol. 62(5), pages 1179-1201, October.
    5. Sharfuddin Lisan, 2018. "Safety stock determination of uncertain demand and mutually dependent variables," International Journal of Business and Social Research, LAR Center Press, vol. 8(3), pages 1-11, March.
    6. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.

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