IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v46y2000i11p1441-1453.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.46.11.1441.12081
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.46.11.1441.12081?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    6. 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.
    7. 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.
    8. 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.
    9. Maqbool Dada, 1992. "A Two-Echelon Inventory System with Priority Shipments," Management Science, INFORMS, vol. 38(8), pages 1140-1153, August.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. Zhang, Shuguang & Dan, Bin & Zhou, Maosen, 2019. "After-sale service deployment and information sharing in a supply chain under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 279(2), pages 351-363.
    3. 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.
    4. 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.
    5. Dong Li & Nishant Mishra & Serguei Netessine, 2023. "Contracting for Product Support Under Information Asymmetry," Management Science, INFORMS, vol. 69(8), pages 4627-4645, August.
    6. 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.
    7. 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.
    8. 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.
    9. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2012. "A quantitative management support model of a certain production-supply system - boundary conditions," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(2), pages 5-13.
    10. 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.
    11. repec:wut:journl:v:2:y:2012:id:1047 is not listed on IDEAS
    12. 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.
    13. 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.
    14. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "An Empirical Study of Service Differentiation for Weapon System Service Parts," Operations Research, INFORMS, vol. 51(4), pages 518-530, August.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. Guide, V. Daniel R. & Srivastava, Rajesh, 1997. "Repairable inventory theory: Models and applications," European Journal of Operational Research, Elsevier, vol. 102(1), pages 1-20, October.
    3. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "An Empirical Study of Service Differentiation for Weapon System Service Parts," Operations Research, INFORMS, vol. 51(4), pages 518-530, August.
    4. Jovan Grahovac & Amiya Chakravarty, 2001. "Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items," Management Science, INFORMS, vol. 47(4), pages 579-594, April.
    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. Kutanoglu, Erhan & Mahajan, Mohit, 2009. "An inventory sharing and allocation method for a multi-location service parts logistics network with time-based service levels," European Journal of Operational Research, Elsevier, vol. 194(3), pages 728-742, May.
    7. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
    8. Ganeshan, Ram, 1999. "Managing supply chain inventories: A multiple retailer, one warehouse, multiple supplier model," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 341-354, March.
    9. Al-Rifai, Mohammad H. & Rossetti, Manuel D., 2007. "An efficient heuristic optimization algorithm for a two-echelon (R, Q) inventory system," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 195-213, September.
    10. Diks, E. B. & de Kok, A. G. & Lagodimos, A. G., 1996. "Multi-echelon systems: A service measure perspective," European Journal of Operational Research, Elsevier, vol. 95(2), pages 241-263, December.
    11. Kevin Chiang, Wei-yu & Monahan, George E., 2005. "Managing inventories in a two-echelon dual-channel supply chain," European Journal of Operational Research, Elsevier, vol. 162(2), pages 325-341, April.
    12. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    13. García-Benito, Juan Carlos & Martín-Peña, María-Luz, 2021. "A redistribution model with minimum backorders of spare parts: A proposal for the defence sector," European Journal of Operational Research, Elsevier, vol. 291(1), pages 178-193.
    14. Markus Ettl & Gerald E. Feigin & Grace Y. Lin & David D. Yao, 2000. "A Supply Network Model with Base-Stock Control and Service Requirements," Operations Research, INFORMS, vol. 48(2), pages 216-232, April.
    15. Fangruo Chen, 1999. "94%-Effective Policies for a Two-Stage Serial Inventory System with Stochastic Demand," Management Science, INFORMS, vol. 45(12), pages 1679-1696, December.
    16. Kathryn E. Caggiano & John A. Muckstadt & James A. Rappold, 2006. "Integrated Real-Time Capacity and Inventory Allocation for Reparable Service Parts in a Two-Echelon Supply System," Manufacturing & Service Operations Management, INFORMS, vol. 8(3), pages 292-319, August.
    17. Olsson, Ralph J. & Hill, Roger M., 2007. "A two-echelon base-stock inventory model with Poisson demand and the sequential processing of orders at the upper echelon," European Journal of Operational Research, Elsevier, vol. 177(1), pages 310-324, February.
    18. Graves, Stephen C., 1989. "A multi-echelon inventory model with fixed reorder intervals," Working papers 3045-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    19. 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.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:46:y:2000:i:11:p:1441-1453. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.