IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v156y2014icp316-324.html
   My bibliography  Save this article

Inventory management with simultaneously horizontal and vertical substitution

Author

Listed:
  • Ye, Taofeng

Abstract

In this study, we focus on inventory management issues under simultaneously horizontal (equivalently inter-brand) and vertical (equivalently intra-brand) substitution. The analysis is divided into two distinct scenarios: centralized inventory management, where all brands are managed by a central decision maker; and decentralized inventory management, where each brand is managed by an independent decision maker. For the two situations, the optimal and the equilibrium order quantities are developed. Moreover, we find that there exist situations when the order quantities are greater in the centralized setting than in the competitive setting for some products.

Suggested Citation

  • Ye, Taofeng, 2014. "Inventory management with simultaneously horizontal and vertical substitution," International Journal of Production Economics, Elsevier, vol. 156(C), pages 316-324.
  • Handle: RePEc:eee:proeco:v:156:y:2014:i:c:p:316-324
    DOI: 10.1016/j.ijpe.2014.06.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S092552731400200X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2014.06.017?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tan, Baris & Karabati, Selcuk, 2013. "Retail inventory management with stock-out based dynamic demand substitution," International Journal of Production Economics, Elsevier, vol. 145(1), pages 78-87.
    2. Arthur Hsu & Yehuda Bassok, 1999. "Random Yield and Random Demand in a Production System with Downward Substitution," Operations Research, INFORMS, vol. 47(2), pages 277-290, April.
    3. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    4. Birendra K. Mishra & Srinivasan Raghunathan, 2004. "Retailer- vs. Vendor-Managed Inventory and Brand Competition," Management Science, INFORMS, vol. 50(4), pages 445-457, April.
    5. Liu, Wei & Song, Shiji & Wu, Cheng, 2013. "Impact of loss aversion on the newsvendor game with product substitution," International Journal of Production Economics, Elsevier, vol. 141(1), pages 352-359.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    7. Serguei Netessine & Fuqiang Zhang, 2005. "Positive vs. Negative Externalities in Inventory Management: Implications for Supply Chain Design," Manufacturing & Service Operations Management, INFORMS, vol. 7(1), pages 58-73, January.
    8. Wang, Qinan & Parlar, Mahmut, 1994. "A three-person game theory model arising in stochastic inventory control theory," European Journal of Operational Research, Elsevier, vol. 76(1), pages 83-97, July.
    9. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    10. Milind Dawande & Srinagesh Gavirneni & Yinping Mu & Suresh Sethi & Chelliah Sriskandarajah, 2010. "On the Interaction Between Demand Substitution and Production Changeovers," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 682-691, September.
    11. Robert A. Shumsky & Fuqiang Zhang, 2009. "Dynamic Capacity Management with Substitution," Operations Research, INFORMS, vol. 57(3), pages 671-684, June.
    12. Rajaram, Kumar & Tang, Christopher S., 2001. "The impact of product substitution on retail merchandising," European Journal of Operational Research, Elsevier, vol. 135(3), pages 582-601, December.
    13. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    14. Ricardo Ernst & Panagiotis Kouvelis, 1999. "The Effects of Selling Packaged Goods on Inventory Decisions," Management Science, INFORMS, vol. 45(8), pages 1142-1155, August.
    15. Siddharth Mahajan & Garrett van Ryzin, 2001. "Inventory Competition Under Dynamic Consumer Choice," Operations Research, INFORMS, vol. 49(5), pages 646-657, October.
    16. Ravi Anupindi & Yehuda Bassok, 1999. "Centralization of Stocks: Retailers vs. Manufacturer," Management Science, INFORMS, vol. 45(2), pages 178-191, February.
    17. Steven A. Lippman & Kevin F. McCardle, 1997. "The Competitive Newsboy," Operations Research, INFORMS, vol. 45(1), pages 54-65, February.
    18. Mahmut Parlar, 1988. "Game theoretic analysis of the substitutable product inventory problem with random demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 397-409, June.
    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. Eksler, Leonid & Aviram, Roei & Elalouf, Amir & Kamble, Aakash, 2019. "An EOQ model for multiple products with varying degrees of substitutability," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 13, pages 1-16.
    2. Carina L. Gargalo & Eduardo Pereda Pons & Ana Paula Barbosa-Povoa & Ana Carvalho, 2021. "A Lean Approach to Developing Sustainable Supply Chains," Sustainability, MDPI, vol. 13(7), pages 1-33, March.
    3. Çömez-Dolgan, Nagihan & Tanyeri, Başak, 2015. "Inventory performance with pooling: Evidence from mergers and acquisitions," International Journal of Production Economics, Elsevier, vol. 168(C), pages 331-339.
    4. Li, Zhaolin & Fu, Qi (Grace), 2017. "Robust inventory management with stock-out substitution," International Journal of Production Economics, Elsevier, vol. 193(C), pages 813-826.
    5. Eksler, Leonid & Aviram, Roei & Elalouf, Amir & Kamble, Aakash, 2018. "An EOQ model for multiple products with varying degrees of substitutability," Economics Discussion Papers 2018-77, Kiel Institute for the World Economy (IfW Kiel).
    6. 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.
    7. Zhang, Yi & Hua, Guowei & Wang, Shouyang & Zhang, Juliang & Fernandez, Vicenc, 2018. "Managing demand uncertainty: Probabilistic selling versus inventory substitution," International Journal of Production Economics, Elsevier, vol. 196(C), pages 56-67.
    8. Lu, Fen & Xu, He & Chen, Pengyu & Zhu, Stuart X., 2018. "Joint pricing and production decisions with yield uncertainty and downconversion," International Journal of Production Economics, Elsevier, vol. 197(C), pages 52-62.
    9. Vinod Kumar Mishra & Kripa Shanker, 2017. "Optimal ordering quantities for substitutable items under joint replenishment with cost of substitution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(1), pages 77-104.

    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. Shin, Hojung & Park, Soohoon & Lee, Euncheol & Benton, W.C., 2015. "A classification of the literature on the planning of substitutable products," European Journal of Operational Research, Elsevier, vol. 246(3), pages 686-699.
    2. Lei Lei & Jun Ru & Ruixia Shi & Jun Zhang, 2022. "A Two‐Product Newsvendor Problem with Partial Demand Substitution," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1157-1173, March.
    3. Silbermayr, Lena, 2020. "A review of non-cooperative newsvendor games with horizontal inventory interactions," Omega, Elsevier, vol. 92(C).
    4. Dongling Cai & Li Jiang, 2020. "The Bright and Dark Sides of Customer Switching," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1381-1396, June.
    5. Shi, Chunming (Victor) & Yang, Shilei & Xia, Yu & Zhao, Xuan, 2011. "Inventory competition for newsvendors under the objective of profit satisficing," European Journal of Operational Research, Elsevier, vol. 215(2), pages 367-373, December.
    6. Straubert, Christian & Sucky, Eric, 2023. "Inventory competition on electronic marketplaces – A competitive newsvendor problem with a unilateral sales commission fee," European Journal of Operational Research, Elsevier, vol. 309(2), pages 656-670.
    7. Huang, Di & Zhou, Hong & Zhao, Qiu-Hong, 2011. "A competitive multiple-product newsboy problem with partial product substitution," Omega, Elsevier, vol. 39(3), pages 302-312, June.
    8. Zhang, Ren-Qian & Zhang, Lan-Kang & Zhou, Wen-Hui & Saigal, Romesh & Wang, Hui-Wen, 2014. "The multi-item newsvendor model with cross-selling and the solution when demand is jointly normally distributed," European Journal of Operational Research, Elsevier, vol. 236(1), pages 147-159.
    9. Li Chen & Erica L. Plambeck, 2008. "Dynamic Inventory Management with Learning About the Demand Distribution and Substitution Probability," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 236-256, May.
    10. Güler, Kemal & Körpeoğlu, Evren & Şen, Alper, 2018. "Newsvendor competition under asymmetric cost information," European Journal of Operational Research, Elsevier, vol. 271(2), pages 561-576.
    11. 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.
    12. Vashkar Ghosh & Anand Paul & Lingjiong Zhu, 2022. "Stocking Under Random Demand and Product Variety: Exact Models and Heuristics," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1006-1032, March.
    13. Lu, Fen & Xu, He & Chen, Pengyu & Zhu, Stuart X., 2018. "Joint pricing and production decisions with yield uncertainty and downconversion," International Journal of Production Economics, Elsevier, vol. 197(C), pages 52-62.
    14. Mahesh Nagarajan & S. Rajagopalan, 2009. "Technical Note---A Multiperiod Model of Inventory Competition," Operations Research, INFORMS, vol. 57(3), pages 785-790, June.
    15. Houyuan Jiang & Serguei Netessine & Sergei Savin, 2011. "TECHNICAL NOTE---Robust Newsvendor Competition Under Asymmetric Information," Operations Research, INFORMS, vol. 59(1), pages 254-261, February.
    16. Felipe Caro & Victor Martínez-de-Albéniz, 2010. "The Impact of Quick Response in Inventory-Based Competition," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 409-429, January.
    17. Geng, Qin & Mallik, Suman, 2007. "Inventory competition and allocation in a multi-channel distribution system," European Journal of Operational Research, Elsevier, vol. 182(2), pages 704-729, October.
    18. Qi, Yuqing & Ni, Weihong & Shi, Kuiran, 2015. "Game theoretic analysis of one manufacturer two retailer supply chain with customer market search," International Journal of Production Economics, Elsevier, vol. 164(C), pages 57-64.
    19. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    20. Soo-Haeng Cho & Xin Wang, 2017. "Newsvendor Mergers," Management Science, INFORMS, vol. 63(2), pages 298-316, February.

    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:eee:proeco:v:156:y:2014:i:c:p:316-324. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.