IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v67y2020i3p161-184.html
   My bibliography  Save this article

Purchase and retrieval competition for seasonal produce

Author

Listed:
  • Jian Zhang
  • Shuang He
  • Juliang Zhang
  • T. C. Edwin Cheng

Abstract

We study the competition problem of purchase and multiretrieval of perishable seasonal produce, where wholesalers purchase and stock their products in the first period, and then retrieve and sell them in subsequent periods. We first consider the duopoly case and assume that the prices are exogenous and fluctuate. In each period, after the price realization, the wholesalers retrieve some stock from their warehouses to satisfy their demands. One wholesaler's unsatisfied customers can switch to another and be satisfied by its left retrieved products. Any unsold retrieved stock has no salvage value and any unsatisfied demand is lost. The unretrieved stock is carried to the next period at a perishable rate. The wholesalers compete for the substitute demand by determining their own purchase and retrieval quantities. We show the existence and uniqueness of a pure‐strategy Nash equilibrium, and that the Nash equilibrium strategy has the simple “sell‐down‐to” structure. We also consider the general N‐person game and show the existence of the Nash equilibrium, and characterize the structure of the equilibrium strategy for the symmetric case. In addition, we consider the case with endogenous prices, and show that the problem reduces to a repeated newsvendor game with price and inventory competition. We derive the conditions under which a unique Nash equilibrium exists and characterize the equilibrium strategy. Finally, we conduct numerical studies to examine the impacts of the model parameters on the equilibrium outcomes and to generate managerial insights.

Suggested Citation

  • Jian Zhang & Shuang He & Juliang Zhang & T. C. Edwin Cheng, 2020. "Purchase and retrieval competition for seasonal produce," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(3), pages 161-184, April.
  • Handle: RePEc:wly:navres:v:67:y:2020:i:3:p:161-184
    DOI: 10.1002/nav.21896
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.21896
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.21896?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. Yue Dai & Xiuli Chao & Shu‐Cherng Fang & Henry L.W. Nuttle, 2006. "Capacity allocation with traditional and Internet channels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 772-787, December.
    2. Peter Berling & Victor Martínez-de-Albéniz, 2011. "Optimal Inventory Policies when Purchase Price and Demand Are Stochastic," Operations Research, INFORMS, vol. 59(1), pages 109-124, February.
    3. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2016. "A coordinated multi-item inventory system for perishables with random lifetime," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 226-237.
    4. Zeynep Müge Avsar & Melike Baykal‐Gürsoy, 2002. "Inventory control under substitutable demand: A stochastic game application," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 359-375, June.
    5. Chung‐Yee Lee & Tao Lu, 2015. "Inventory competition with yield reliability improvement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 107-126, March.
    6. Barry A. Pasternack & Zvi Drezner, 1991. "Optimal inventory policies for substitutable commodities with stochastic demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 221-240, April.
    7. Tava Lennon Olsen & Rodney P. Parker, 2014. "On Markov Equilibria in Dynamic Inventory Competition," Operations Research, INFORMS, vol. 62(2), pages 332-344, April.
    8. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    9. 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.
    10. 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.
    11. Li‐Ming Chen & Amar Sapra, 2013. "Joint inventory and pricing decisions for perishable products with two‐period lifetime," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(5), pages 343-366, August.
    12. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    13. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    14. 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.
    15. Apostolos Burnetas & Odysseas Kanavetas, 2018. "Inventory policies for two products under Poisson demand: Interaction between demand substitution, limited storage capacity and replenishment time uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 676-698, December.
    16. Steven A. Lippman & Kevin F. McCardle, 1997. "The Competitive Newsboy," Operations Research, INFORMS, vol. 45(1), pages 54-65, February.
    17. 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. He, Shuang & Zhang, Jian & Zhang, Juliang & Cheng, T.C.E., 2022. "Production/inventory competition between firms with fixed-proportions co-production systems," European Journal of Operational Research, Elsevier, vol. 299(2), pages 497-509.

    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. He, Shuang & Zhang, Jian & Zhang, Juliang & Cheng, T.C.E., 2022. "Production/inventory competition between firms with fixed-proportions co-production systems," European Journal of Operational Research, Elsevier, vol. 299(2), pages 497-509.
    2. Zhang, Ren-Qian & Yi, Meng & Wang, Qi-Qi & Xiang, Chen, 2018. "Polynomial algorithm of inventory model with complete backordering and correlated demand caused by cross-selling," International Journal of Production Economics, Elsevier, vol. 199(C), pages 193-198.
    3. 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.
    4. Zhu, Chenbo & Hu, JianQiang, 2020. "Revenue management games with government mandate," Omega, Elsevier, vol. 93(C).
    5. Hu, Benyong & Xu, Dong & Meng, Chao, 2017. "Inconsistency of a retailer's optimal policies and channel performance under revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 53-65.
    6. Chung‐Yee Lee & Tao Lu, 2015. "Inventory competition with yield reliability improvement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 107-126, March.
    7. 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.
    8. Ye, Taofeng, 2014. "Inventory management with simultaneously horizontal and vertical substitution," International Journal of Production Economics, Elsevier, vol. 156(C), pages 316-324.
    9. 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.
    10. Silbermayr, Lena, 2020. "A review of non-cooperative newsvendor games with horizontal inventory interactions," Omega, Elsevier, vol. 92(C).
    11. 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.
    12. Li Jiang & Ravi Anupindi, 2010. "Customer-Driven vs. Retailer-Driven Search: Channel Performance and Implications," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 102-119, January.
    13. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    14. 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.
    15. 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.
    16. Montrucchio, Luigi & Scarsini, Marco, 2007. "Large newsvendor games," Games and Economic Behavior, Elsevier, vol. 58(2), pages 316-337, February.
    17. 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.
    18. 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.
    19. 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.
    20. Tomoaki Yamazaki & Keisuke Shida & Takashi Kanazawa, 2016. "An approach to establishing a method for calculating inventory," International Journal of Production Research, Taylor & Francis Journals, vol. 54(8), pages 2320-2331, April.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:67:y:2020:i:3:p:161-184. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.