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Operating Characteristics of the (S - 1, S) Inventory System with Partial Backorders and Constant Resupply Times

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  • Kamran Moinzadeh

    (Department of Management Science, University of Washington, Seattle, Washington 98195)

Abstract

In this paper we consider an (S - 1, S) inventory system with Poisson demand and constant resupply times. An arriving customer facing stockout will either backorder or withdraw its order. Expressions describing steady state operating characteristics of the system and the expected total cost rate are developed. Furthermore, the behavior of the expected total cost rate as the function of the relevant parameters is explored.

Suggested Citation

  • Kamran Moinzadeh, 1989. "Operating Characteristics of the (S - 1, S) Inventory System with Partial Backorders and Constant Resupply Times," Management Science, INFORMS, vol. 35(4), pages 472-477, April.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:4:p:472-477
    DOI: 10.1287/mnsc.35.4.472
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    Cited by:

    1. Dehghani, Maryam & Abbasi, Babak, 2018. "An age-based lateral-transshipment policy for perishable items," International Journal of Production Economics, Elsevier, vol. 198(C), pages 93-103.
    2. Babai, M.Z. & Jemai, Z. & Dallery, Y., 2011. "Analysis of order-up-to-level inventory systems with compound Poisson demand," European Journal of Operational Research, Elsevier, vol. 210(3), pages 552-558, May.
    3. Saif Benjaafar & Mohsen ElHafsi & Tingliang Huang, 2010. "Optimal control of a production‐inventory system with both backorders and lost sales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(3), pages 252-265, April.
    4. Cai, Gangshu (George) & Chiang, Wen-Chyuan & Chen, Xiangfeng, 2011. "Game theoretic pricing and ordering decisions with partial lost sales in two-stage supply chains," International Journal of Production Economics, Elsevier, vol. 130(2), pages 175-185, April.
    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. Huang, Shuo & Axsäter, Sven & Dou, Yifan & Chen, Jian, 2011. "A real-time decision rule for an inventory system with committed service time and emergency orders," European Journal of Operational Research, Elsevier, vol. 215(1), pages 70-79, November.
    7. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2019. "Solution procedures for lost sales base-stock inventory systems with compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 209(C), pages 172-182.
    8. Yanyi Xu & Doğan A. Serel & Arnab Bisi & Maqbool Dada, 2022. "Coping with Demand Uncertainty: The Interplay between Dual Sourcing and Endogenous Partial Backordering," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1560-1575, April.
    9. Placido dos Santos, Felipe Silva & Oliveira, Fabricio, 2019. "An enhanced L-Shaped method for optimizing periodic-review inventory control problems modeled via two-stage stochastic programming," European Journal of Operational Research, Elsevier, vol. 275(2), pages 677-693.
    10. Moinzadeh, Kamran & Berk, Emre, 2000. "An archiving model for a hierarchical information storage environment," European Journal of Operational Research, Elsevier, vol. 123(1), pages 206-225, May.
    11. Ki Ling Cheung, 1996. "On the (S‐1, S) inventory model under compound poisson demands and i.i.d. unit resupply times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 563-572, June.
    12. Jie Chen & Peter L. Jackson & John A. Muckstadt, 2011. "TECHNICAL NOTE---Exact Analysis of a Lost Sales Model Under Stuttering Poisson Demand," Operations Research, INFORMS, vol. 59(1), pages 249-253, February.
    13. Emre Tokgöz & Hillel Kumin, 2012. "Mixed convexity and optimization results for an (S − 1, S) inventory model under a time limit on backorders," Computational Management Science, Springer, vol. 9(4), pages 417-440, November.
    14. Fredrik Olsson, 2019. "Simple modeling techniques for base-stock inventory systems with state dependent demand rates," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 61-76, August.
    15. Olsson, Fredrik, 2015. "Emergency lateral transshipments in a two-location inventory system with positive transshipment leadtimes," European Journal of Operational Research, Elsevier, vol. 242(2), pages 424-433.
    16. Emre Berk & Kamran Moinzadeh, 1998. "The Impact of Discharge Decisions on Health Care Quality," Management Science, INFORMS, vol. 44(3), pages 400-415, March.
    17. Hayya, Jack C. & Bagchi, Uttarayan & Ramasesh, Ranga, 2011. "Cost relationships in stochastic inventory systems: A simulation study of the (S, S-1, t=1) model," International Journal of Production Economics, Elsevier, vol. 130(2), pages 196-202, April.
    18. Pinçe, Çerağ, 2021. "Forward Buying and Strategic Stockouts," European Journal of Operational Research, Elsevier, vol. 289(1), pages 118-131.
    19. Christian Howard & Johan Marklund & Tarkan Tan & Ingrid Reijnen, 2015. "Inventory Control in a Spare Parts Distribution System with Emergency Stocks and Pipeline Information," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 142-156, May.

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