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Analysis of Perishable-Inventory Systems with Censored Demand Data

Author

Listed:
  • Xiangwen Lu

    (Cisco Systems, San Jose, California 95134)

  • Jing-Sheng Song

    (Fuqua School of Business, Duke University, Durham, North Carolina 27708)

  • Kaijie Zhu

    (Department of IELM, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong)

Abstract

We consider a multiperiod inventory system of a perishable product with unobservable lost sales. Demand distribution parameters are unknown and are updated periodically using the Bayesian approach based on the censored historical sales data. We develop an explicit expression of the first-order condition for optimality that demonstrates the key trade-off of the problem. The result generalizes partial characterizations of this trade-off in the literature. It shows that the myopic solution is a lower bound on the optimal inventory level. It also enables us to quantify the expected marginal value of information.

Suggested Citation

  • Xiangwen Lu & Jing-Sheng Song & Kaijie Zhu, 2008. "Analysis of Perishable-Inventory Systems with Censored Demand Data," Operations Research, INFORMS, vol. 56(4), pages 1034-1038, August.
    • Handle: RePEc:inm:oropre:v:56:y:2008:i:4:p:1034-1038
    DOI: 10.1287/opre.1080.0553
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    References listed on IDEAS

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    5. Xiaomei Ding & Martin L. Puterman & Arnab Bisi, 2002. "The Censored Newsvendor and the Optimal Acquisition of Information," Operations Research, INFORMS, vol. 50(3), pages 517-527, June.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Tianhu Deng & Zuo-Jun Max Shen & J. George Shanthikumar, 2014. "Statistical Learning of Service-Dependent Demand in a Multiperiod Newsvendor Setting," Operations Research, INFORMS, vol. 62(5), pages 1064-1076, October.
    2. Tinglong Dai & Kinshuk Jerath, 2019. "Salesforce Contracting Under Uncertain Demand and Supply: Double Moral Hazard and Optimality of Smooth Contracts," Marketing Science, INFORMS, vol. 38(5), pages 852-870, September.
    3. Hao Yuan & Qi Luo & Cong Shi, 2021. "Marrying Stochastic Gradient Descent with Bandits: Learning Algorithms for Inventory Systems with Fixed Costs," Management Science, INFORMS, vol. 67(10), pages 6089-6115, October.
    4. Li Chen, 2010. "Bounds and Heuristics for Optimal Bayesian Inventory Control with Unobserved Lost Sales," Operations Research, INFORMS, vol. 58(2), pages 396-413, April.
    5. Omar Besbes & Alp Muharremoglu, 2013. "On Implications of Demand Censoring in the Newsvendor Problem," Management Science, INFORMS, vol. 59(6), pages 1407-1424, June.
    6. Agrawal, Narendra & Smith, Stephen A., 2013. "Optimal inventory management for a retail chain with diverse store demands," European Journal of Operational Research, Elsevier, vol. 225(3), pages 393-403.
    7. Gen Sakoda & Hideki Takayasu & Misako Takayasu, 2019. "Data Science Solutions for Retail Strategy to Reduce Waste Keeping High Profit," Sustainability, MDPI, vol. 11(13), pages 1-30, June.
    8. Alain Bensoussan & Metin Çakanyıldırım & Suresh P. Sethi, 2009. "Technical Note---A Note on “The Censored Newsvendor and the Optimal Acquisition of Information”," Operations Research, INFORMS, vol. 57(3), pages 791-794, June.
    9. 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.
    10. Woonghee Tim Huh & Retsef Levi & Paat Rusmevichientong & James B. Orlin, 2011. "Adaptive Data-Driven Inventory Control with Censored Demand Based on Kaplan-Meier Estimator," Operations Research, INFORMS, vol. 59(4), pages 929-941, August.
    11. Wang, Haifeng & Chen, Bocheng & Yan, Houmin, 2010. "Optimal inventory decisions in a multiperiod newsvendor problem with partially observed Markovian supply capacities," European Journal of Operational Research, Elsevier, vol. 202(2), pages 502-517, April.
    12. Woonghee Tim Huh & Paat Rusmevichientong, 2009. "A Nonparametric Asymptotic Analysis of Inventory Planning with Censored Demand," Mathematics of Operations Research, INFORMS, vol. 34(1), pages 103-123, February.
    13. Zhang, Jian & Zhang, Juliang & Hua, Guowei, 2016. "Multi-period inventory games with information update," International Journal of Production Economics, Elsevier, vol. 174(C), pages 119-127.
    14. Deligiannis, Michalis & Liberopoulos, George & Pandelis, Dimitrios G., 2023. "Managing supply chain risks with dual sourcing: Bayesian learning of censored supply capacity," International Journal of Production Economics, Elsevier, vol. 265(C).
    15. Sachs, Anna-Lena & Minner, Stefan, 2014. "The data-driven newsvendor with censored demand observations," International Journal of Production Economics, Elsevier, vol. 149(C), pages 28-36.
    16. Jiri Chod & Mihalis G. Markakis & Nikolaos Trichakis, 2021. "On the Learning Benefits of Resource Flexibility," Management Science, INFORMS, vol. 67(10), pages 6513-6528, October.
    17. Mila Nambiar & David Simchi‐Levi & He Wang, 2021. "Dynamic Inventory Allocation with Demand Learning for Seasonal Goods," Production and Operations Management, Production and Operations Management Society, vol. 30(3), pages 750-765, March.
    18. Aditya Jain & Nils Rudi & Tong Wang, 2015. "Demand Estimation and Ordering Under Censoring: Stock-Out Timing Is (Almost) All You Need," Operations Research, INFORMS, vol. 63(1), pages 134-150, February.
    19. Li Chen & Adam J.Mersereau & Zhe (Frank) Wang, 2017. "Optimal Merchandise Testing with Limited Inventory," Operations Research, INFORMS, vol. 65(4), pages 968-991, August.
    20. Arnab Bisi & Maqbool Dada & Surya Tokdar, 2011. "A Censored-Data Multiperiod Inventory Problem with Newsvendor Demand Distributions," Manufacturing & Service Operations Management, INFORMS, vol. 13(4), pages 525-533, October.
    21. Rong Li & Jing‐Sheng Jeannette Song & Shuxiao Sun & Xiaona Zheng, 2022. "Fight inventory shrinkage: Simultaneous learning of inventory level and shrinkage rate," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2477-2491, June.
    22. Li, Tianyun & Fang, Weiguo & Baykal-Gürsoy, Melike, 2021. "Two-stage inventory management with financing under demand updates," International Journal of Production Economics, Elsevier, vol. 232(C).

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