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On the $$\varvec{(Q,r)}$$(Q,r) policy for perishables with positive lead times and multiple outstanding orders

Author

Listed:
  • Emre Berk

    (Bilkent University)

  • Ülkü Gürler

    (Bilkent University)

  • Saeed Poormoaied

    (Bilkent University)

Abstract

We consider an inventory system for perishables with fixed lifetimes, positive replenishment lead times and lost sales in the presence of non-negligible fixed ordering costs. The system is studied under the lotsize reorder level (Q, r) policy. An exact analysis of this system based on the stationary distribution of the remaining lifetime process is provided by Berk and Gürler (Oper Res 56(5):1238–1246, 2008) under the restriction that there is at most one outstanding order at any time ($$r

Suggested Citation

  • Emre Berk & Ülkü Gürler & Saeed Poormoaied, 2020. "On the $$\varvec{(Q,r)}$$(Q,r) policy for perishables with positive lead times and multiple outstanding orders," Annals of Operations Research, Springer, vol. 284(1), pages 81-98, January.
  • Handle: RePEc:spr:annopr:v:284:y:2020:i:1:d:10.1007_s10479-018-3044-3
    DOI: 10.1007/s10479-018-3044-3
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    References listed on IDEAS

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    1. Tal Avinadav & Tatyana Chernonog & Yael Lahav & Uriel Spiegel, 2017. "Dynamic pricing and promotion expenditures in an EOQ model of perishable products," Annals of Operations Research, Springer, vol. 248(1), pages 75-91, January.
    2. Chiu, Huan Neng, 1995. "An approximation to the continuous review inventory model with perishable items and lead times," European Journal of Operational Research, Elsevier, vol. 87(1), pages 93-108, November.
    3. S. Kalpakam & S. Shanthi, 2006. "A continuous review perishable system with renewal demands," Annals of Operations Research, Springer, vol. 143(1), pages 211-225, March.
    4. Steven Nahmias & Shan Shan Wang, 1979. "A Heuristic Lot Size Reorder Point Model for Decaying Inventories," Management Science, INFORMS, vol. 25(1), pages 90-97, January.
    5. Fredrik Olsson, 2014. "Analysis of inventory policies for perishable items with fixed leadtimes and lifetimes," Annals of Operations Research, Springer, vol. 217(1), pages 399-423, June.
    6. Steven Nahmias, 1975. "Optimal Ordering Policies for Perishable Inventory—II," Operations Research, INFORMS, vol. 23(4), pages 735-749, August.
    7. M. Amirthakodi & V. Radhamani & B. Sivakumar, 2015. "A perishable inventory system with service facility and feedback customers," Annals of Operations Research, Springer, vol. 233(1), pages 25-55, October.
    8. Hilal Al Hamadi & N. Sangeetha & B. Sivakumar, 2015. "Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers," Annals of Operations Research, Springer, vol. 233(1), pages 3-23, October.
    9. Kouki, Chaaben & Jemaï, Zied & Minner, Stefan, 2015. "A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time," International Journal of Production Economics, Elsevier, vol. 168(C), pages 143-157.
    10. Emre Berk & Ülkü Gürler, 2008. "Analysis of the ( Q , r ) Inventory Model for Perishables with Positive Lead Times and Lost Sales," Operations Research, INFORMS, vol. 56(5), pages 1238-1246, October.
    11. Hill, Roger M., 1992. "Numerical analysis of a continuous-review lost-sales inventory model where two orders may be outstanding," European Journal of Operational Research, Elsevier, vol. 62(1), pages 11-26, October.
    12. Tekin, Eylem & Gurler, Ulku & Berk, Emre, 2001. "Age-based vs. stock level control policies for a perishable inventory system," European Journal of Operational Research, Elsevier, vol. 134(2), pages 309-329, October.
    13. Prashant Chintapalli, 2015. "Simultaneous pricing and inventory management of deteriorating perishable products," Annals of Operations Research, Springer, vol. 229(1), pages 287-301, June.
    14. Stratos Ioannidis & Oualid Jouini & Angelos Economopoulos & Vassilis Kouikoglou, 2013. "Control policies for single-stage production systems with perishable inventory and customer impatience," Annals of Operations Research, Springer, vol. 209(1), pages 115-138, October.
    15. G. M. Laslett & D. B. Pollard & R. L. Tweedie, 1978. "Techniques for establishing ergodic and recurrence properties of continuous‐valued markov chains," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(3), pages 455-472, September.
    16. Hill, Roger M., 1994. "Continuous review lost sales inventory models where two orders may be outstanding," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 313-319, June.
    17. Guowei Liu & Jianxiong Zhang & Wansheng Tang, 2015. "Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand," Annals of Operations Research, Springer, vol. 226(1), pages 397-416, March.
    18. Howard J. Weiss, 1980. "Optimal Ordering Policies for Continuous Review Perishable Inventory Models," Operations Research, INFORMS, vol. 28(2), pages 365-374, April.
    19. Charles P. Schmidt & Steven Nahmias, 1985. "(S - 1, S) Policies for Perishable Inventory," Management Science, INFORMS, vol. 31(6), pages 719-728, June.
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    Cited by:

    1. Saeed Poormoaied, 2022. "Inventory decision in a periodic review inventory model with two complementary products," Annals of Operations Research, Springer, vol. 315(2), pages 1937-1970, August.

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