IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v53y2007i8p1289-1302.html
   My bibliography  Save this article

Existence of Coordinating Transshipment Prices in a Two-Location Inventory Model

Author

Listed:
  • Xinxin Hu

    (Kelley School of Business, Indiana University, Bloomington, Indiana 47405)

  • Izak Duenyas

    (S. Ross School of Business, University of Michigan, 701 Tappan Street, Ann Arbor, Michigan 48109)

  • Roman Kapuscinski

    (S. Ross School of Business, University of Michigan, 701 Tappan Street, Ann Arbor, Michigan 48109)

Abstract

We consider a two-location production/inventory model where each location makes production decisions and is subject to uncertain capacity. Each location optimizes its own profits. Transshipment (at a cost) is allowed from one location to another. We focus on the question of whether one can globally set a pair of coordinating transshipment prices, i.e., payments that each party has to make to the other for the transshipped goods, that induce the local decision makers to make inventory and transshipment decisions that are globally optimal. A recent paper suggests, for a special case of our model, that there always exists a unique pair of coordinating transshipment prices. We demonstrate through a counterexample that this statement is not correct and derive sufficient and necessary conditions under which it would hold. We show that in some conditions, coordinating prices may exist for only a narrow range of problem parameters and explore conditions when this can happen. Finally, we study the effects of demand and capacity variability on the magnitude of coordinating transshipment prices.

Suggested Citation

  • Xinxin Hu & Izak Duenyas & Roman Kapuscinski, 2007. "Existence of Coordinating Transshipment Prices in a Two-Location Inventory Model," Management Science, INFORMS, vol. 53(8), pages 1289-1302, August.
    • Handle: RePEc:inm:ormnsc:v:53:y:2007:i:8:p:1289-1302
    DOI: 10.1287/mnsc.1060.0694
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1060.0694
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.1060.0694?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. Charles J. Corbett & Deming Zhou & Christopher S. Tang, 2004. "Designing Supply Contracts: Contract Type and Information Asymmetry," Management Science, INFORMS, vol. 50(4), pages 550-559, April.
    2. A. A. Tsay & W. S. Lovejoy, 1999. "Quantity Flexibility Contracts and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 89-111.
    3. Nils Rudi & Sandeep Kapur & David F. Pyke, 2001. "A Two-Location Inventory Model with Transshipment and Local Decision Making," Management Science, INFORMS, vol. 47(12), pages 1668-1680, December.
    4. Izak Duenyas & Wallace J. Hopp & Yehuda Bassok, 1997. "Production Quotas as Bounds on Interplant JIT Contracts," Management Science, INFORMS, vol. 43(10), pages 1372-1386, October.
    5. Harish Krishnan & Roman Kapuscinski & David A. Butz, 2004. "Coordinating Contracts for Decentralized Supply Chains with Retailer Promotional Effort," Management Science, INFORMS, vol. 50(1), pages 48-63, January.
    6. Benjamin F. Blair & Tracy R. Lewis, 1994. "Optimal Retail Contracts with Asymmetric Information and Moral Hazard," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 284-296, Summer.
    7. Daniel Granot & Greys Sošić, 2003. "A Three-Stage Model for a Decentralized Distribution System of Retailers," Operations Research, INFORMS, vol. 51(5), pages 771-784, October.
    8. Rajiv Lal, 1990. "Improving Channel Coordination Through Franchising," Marketing Science, INFORMS, vol. 9(4), pages 299-318.
    9. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    10. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    11. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
    12. Alireza Dorestani, 2004. "Transfer price and equilibrium in multidivisional firms: an examination of divisional autonomy and central control," Applied Economics, Taylor & Francis Journals, vol. 36(17), pages 1899-1906.
    13. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
    14. Ravi Anupindi & Yehuda Bassok & Eitan Zemel, 2001. "A General Framework for the Study of Decentralized Distribution Systems," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 349-368, February.
    Full references (including those not matched with items on IDEAS)

    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. Xinxin Hu & Izak Duenyas & Roman Kapuscinski, 2008. "Optimal Joint Inventory and Transshipment Control Under Uncertain Capacity," Operations Research, INFORMS, vol. 56(4), pages 881-897, August.
    2. Harish Krishnan & Roman Kapuscinski & David A. Butz, 2004. "Coordinating Contracts for Decentralized Supply Chains with Retailer Promotional Effort," Management Science, INFORMS, vol. 50(1), pages 48-63, January.
    3. Leng, Mingming & Zhu, An, 2009. "Side-payment contracts in two-person nonzero-sum supply chain games: Review, discussion and applications," European Journal of Operational Research, Elsevier, vol. 196(2), pages 600-618, July.
    4. Albert Y. Ha, 2001. "Supplier‐buyer contracting: Asymmetric cost information and cutoff level policy for buyer participation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(1), pages 41-64, February.
    5. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    6. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Renegotiation for Optimal Contract Flexibility and Investment," Management Science, INFORMS, vol. 53(12), pages 1872-1886, December.
    7. Haresh Gurnani & Murat Erkoc, 2008. "Supply contracts in manufacturer‐retailer interactions with manufacturer‐quality and retailer effort‐induced demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(3), pages 200-217, April.
    8. Dong, Yan & Xu, Kefeng & Evers, Philip T., 2012. "Transshipment incentive contracts in a multi-level supply chain," European Journal of Operational Research, Elsevier, vol. 223(2), pages 430-440.
    9. Ozen, U. & Slikker, M. & Norde, H.W., 2007. "A General Framework for Cooperation under Uncertainty," Discussion Paper 2007-57, Tilburg University, Center for Economic Research.
    10. Ping Zhang & Hong Yan & King Wah Pang, 2019. "Inventory Sharing Strategy for Disposable Medical Items between Two Hospitals," Sustainability, MDPI, vol. 11(22), pages 1-21, November.
    11. Li, Ying & Liao, Yi & Hu, Xinxin & Shen, Wenjing, 2020. "Lateral transshipment with partial request and random switching," Omega, Elsevier, vol. 92(C).
    12. Jian Yang & Zhaoqiong Qin, 2007. "Capacitated Production Control with Virtual Lateral Transshipments," Operations Research, INFORMS, vol. 55(6), pages 1104-1119, December.
    13. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
    14. Ji, Xiang & Sun, Jiasen & Wang, Zebin, 2017. "Turn bad into good: Using transshipment-before-buyback for disruptions of stochastic demand," International Journal of Production Economics, Elsevier, vol. 185(C), pages 150-161.
    15. Bellantuono, Nicola & Giannoccaro, Ilaria & Pontrandolfo, Pierpaolo & Tang, Christopher S., 2009. "The implications of joint adoption of revenue sharing and advance booking discount programs," International Journal of Production Economics, Elsevier, vol. 121(2), pages 383-394, October.
    16. Greys Soši'{c}, 2006. "Transshipment of Inventories Among Retailers: Myopic vs. Farsighted Stability," Management Science, INFORMS, vol. 52(10), pages 1493-1508, October.
    17. Shoshana Anily & Moshe Haviv, 2010. "Cooperation in Service Systems," Operations Research, INFORMS, vol. 58(3), pages 660-673, June.
    18. Biswas, Indranil & Avittathur, Balram, 2019. "Channel coordination using options contract under simultaneous price and inventory competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 45-60.
    19. Silbermayr, Lena, 2020. "A review of non-cooperative newsvendor games with horizontal inventory interactions," Omega, Elsevier, vol. 92(C).
    20. Xiangfeng Chen & Anyu Wang, 2012. "Trade credit contract with limited liability in the supply chain with budget constraints," Annals of Operations Research, Springer, vol. 196(1), pages 153-165, July.

    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:53:y:2007:i:8:p:1289-1302. 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.