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A Two-Echelon Repairable Inventory System with Stocking-Center-Dependent Depot Replenishment Lead Times

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  • Yunzeng Wang

    (Department of Operations, Weatherhead School of Management, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106-7235)

  • Morris A. Cohen

    (Department of Operations and Information Management, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104)

  • Yu-Sheng Zheng

    (Department of Operations and Information Management, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104)

Abstract

Consider a two-echelon repairable inventory system consisting of a central depot and multiple stocking centers. The centers provide parts replacement service to customers and replenish their inventory from the depot, following a one-for-one policy. The depot fills center replenishment orders on a first-come-first-serve basis. Defectives received at the centers are passed to the depot for repair and depot inventory replenishment. For this system, existing models (e.g., the METRIC model) usually assume that the depot replenishment lead times (DRLTs) are i.i.d., which however, does not fit well into the service parts logistics system that motivated this research. Because the DRLTs consist of the sum of repair times, defective return times, and transportation times, they are different across stocking centers, which are located globally. We study the impact of such center-dependent DRLTs on system performance. We derive probability distributions of the random delays at the depot experienced by center replenishment orders. We prove that a center with shorter DRLTs experiences shorter delays, and therefore, delivers better customer service. We show that for such systems, using the i.i.d. DRLT assumption introduces errors in estimating system performance. These errors become significant when both the demand rates and the depot planned inventory level are low.

Suggested Citation

  • Yunzeng Wang & Morris A. Cohen & Yu-Sheng Zheng, 2000. "A Two-Echelon Repairable Inventory System with Stocking-Center-Dependent Depot Replenishment Lead Times," Management Science, INFORMS, vol. 46(11), pages 1441-1453, November.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:11:p:1441-1453
    DOI: 10.1287/mnsc.46.11.1441.12081
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    References listed on IDEAS

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    1. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    2. Wallace J. Hopp & Mark L. Spearman & Rachel Q. Zhang, 1997. "Easily Implementable Inventory Control Policies," Operations Research, INFORMS, vol. 45(3), pages 327-340, June.
    3. R. M. Simon, 1971. "Stationary Properties of a Two-Echelon Inventory Model for Low Demand Items," Operations Research, INFORMS, vol. 19(3), pages 761-773, June.
    4. Stephen C. Graves, 1985. "A Multi-Echelon Inventory Model for a Repairable Item with One-for-One Replenishment," Management Science, INFORMS, vol. 31(10), pages 1247-1256, October.
    5. Antony Svoronos & Paul Zipkin, 1991. "Evaluation of One-for-One Replenishment Policies for Multiechelon Inventory Systems," Management Science, INFORMS, vol. 37(1), pages 68-83, January.
    6. John A. Muckstadt, 1973. "A Model for a Multi-Item, Multi-Echelon, Multi-Indenture Inventory System," Management Science, INFORMS, vol. 20(4-Part-I), pages 472-481, December.
    7. W. Karl Kruse, 1980. "Waiting Time in an S − 1, S Inventory System with Arbitrarily Distributed Lead Times," Operations Research, INFORMS, vol. 28(2), pages 348-352, April.
    8. Maqbool Dada, 1992. "A Two-Echelon Inventory System with Priority Shipments," Management Science, INFORMS, vol. 38(8), pages 1140-1153, August.
    9. Hau L. Lee, 1987. "A Multi-Echelon Inventory Model for Repairable Items with Emergency Lateral Transshipments," Management Science, INFORMS, vol. 33(10), pages 1302-1316, October.
    10. Kamran Moinzadeh & Hau L. Lee, 1986. "Batch Size and Stocking Levels in Multi-Echelon Repairable Systems," Management Science, INFORMS, vol. 32(12), pages 1567-1581, December.
    11. Morris A. Cohen & Yu-Sheng Zheng & Yunzeng Wang, 1999. "Identifying Opportunities for Improving Teradyne's Service-Parts Logistics System," Interfaces, INFORMS, vol. 29(4), pages 1-18, August.
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    Cited by:

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    2. Costantino, Francesco & Di Gravio, Giulio & Tronci, Massimo, 2013. "Multi-echelon, multi-indenture spare parts inventory control subject to system availability and budget constraints," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 95-101.
    3. Mirzahosseinian, H. & Piplani, R., 2011. "A study of repairable parts inventory system operating under performance-based contract," European Journal of Operational Research, Elsevier, vol. 214(2), pages 256-261, October.
    4. repec:wut:journl:v:2:y:2012:id:1047 is not listed on IDEAS
    5. Izack Cohen & Morris A. Cohen & Elad Landau, 2017. "On sourcing and stocking policies in a two-echelon, multiple location, repairable parts supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 617-629, June.
    6. Amin Yazdekhasti & Yahia Zare Mehrjardi, 2020. "Two-echelon three-indenture warranty distribution network: a hybrid branch and bound, Monte-Carlo approach," Operational Research, Springer, vol. 20(2), pages 1113-1158, June.
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    8. Sang-Hyun Kim & Morris A. Cohen & Serguei Netessine, 2007. "Performance Contracting in After-Sales Service Supply Chains," Management Science, INFORMS, vol. 53(12), pages 1843-1858, December.
    9. John Khawam & Warren H. Hausman & Dinah W. Cheng, 2007. "Warranty Inventory Optimization for Hitachi Global Storage Technologies, Inc," Interfaces, INFORMS, vol. 37(5), pages 455-471, October.
    10. Dong Li & Nishant Mishra & Serguei Netessine, 2023. "Contracting for Product Support Under Information Asymmetry," Management Science, INFORMS, vol. 69(8), pages 4627-4645, August.
    11. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2012. "A quantitative management support model for a certain production supply system in non-extreme states," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(1), pages 5-12.
    12. Tsai, Shing Chih & Zheng, Ya-Xin, 2013. "A simulation optimization approach for a two-echelon inventory system with service level constraints," European Journal of Operational Research, Elsevier, vol. 229(2), pages 364-374.
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    15. Vinayak Deshpande & Ananth V. Iyer & Richard Cho, 2006. "Efficient Supply Chain Management at the U.S. Coast Guard Using Part-Age Dependent Supply Replenishment Policies," Operations Research, INFORMS, vol. 54(6), pages 1028-1040, December.

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