IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v38y1991i2p221-240.html
   My bibliography  Save this article

Optimal inventory policies for substitutable commodities with stochastic demand

Author

Listed:
  • Barry A. Pasternack
  • Zvi Drezner

Abstract

In this article we consider a stochastic model for two products which have a single‐period inventory structure and which can be used as substitutes for each other should the need arise. Substitution will occur with probability one, but at perhaps a different revenue level. We prove that the expected profit function is concave, allowing us to find optimal stocking levels for the two products. We compare optimum inventory levels for the case of single substitution with that where there is no substitution. It is demonstrated for the case of single substitution that total optimum order quantities can actually increase or decrease with the substitution revenue.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:2:p:221-240
    DOI: 10.1002/1520-6750(199104)38:23.0.CO;2-7
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199104)38:23.0.CO;2-7
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199104)38:23.0.CO;2-7?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. Bryan L. Deuermeyer, 1980. "A single period model for a multiproduct perishable inventory system with economic substitution," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(2), pages 177-185, June.
    2. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    3. 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)

    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. Ravi Anupindi & Yehuda Bassok, 1999. "Centralization of Stocks: Retailers vs. Manufacturer," Management Science, INFORMS, vol. 45(2), pages 178-191, February.
    2. Fernando Bernstein & Awi Federgruen, 2005. "Decentralized Supply Chains with Competing Retailers Under Demand Uncertainty," Management Science, INFORMS, vol. 51(1), pages 18-29, January.
    3. Sting, Fabian J. & Huchzermeier, Arnd, 2010. "Ensuring responsive capacity: How to contract with backup suppliers," European Journal of Operational Research, Elsevier, vol. 207(2), pages 725-735, December.
    4. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    5. Birendra K. Mishra & Srinivasan Raghunathan, 2004. "Retailer- vs. Vendor-Managed Inventory and Brand Competition," Management Science, INFORMS, vol. 50(4), pages 445-457, April.
    6. Che-Tsung Tung & Kuo-Hsien Wang & Yu-Je Lee, 2014. "A Model and its Solution Method for a Two-Item Newsvendor Supply Chain with Return Policy and Demand Leakage," International Journal of Academic Research in Accounting, Finance and Management Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Accounting, Finance and Management Sciences, vol. 4(1), pages 397-408, January.
    7. Gérard P. Cachon & Paul H. Zipkin, 1999. "Competitive and Cooperative Inventory Policies in a Two-Stage Supply Chain," Management Science, INFORMS, vol. 45(7), pages 936-953, July.
    8. Rodney P. Parker & Roman Kapuściński, 2011. "Managing a Noncooperative Supply Chain with Limited Capacity," Operations Research, INFORMS, vol. 59(4), pages 866-881, August.
    9. 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.
    10. Fang, Yaner & Shou, Biying, 2015. "Managing supply uncertainty under supply chain Cournot competition," European Journal of Operational Research, Elsevier, vol. 243(1), pages 156-176.
    11. Seifert, Ralf W. & Thonemann, Ulrich W. & Sieke, Marcel A., 2006. "Integrating direct and indirect sales channels under decentralized decision-making," International Journal of Production Economics, Elsevier, vol. 103(1), pages 209-229, September.
    12. Kuo-Hsien Wang & Yu-Je Lee & Che-Tsung Tung, 2013. "Optimal Prices and Inventories Decisions on Returns Policy with Practical Examples Thorough a Stackelberg Game," International Journal of Academic Research in Accounting, Finance and Management Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Accounting, Finance and Management Sciences, vol. 3(2), pages 66-77, April.
    13. Lauren Skinner Beitelspacher & Thomas L. Baker & Adam Rapp & Dhruv Grewal, 2018. "Understanding the long-term implications of retailer returns in business-to-business relationships," Journal of the Academy of Marketing Science, Springer, vol. 46(2), pages 252-272, March.
    14. Parlar, Mahmut & Weng, Z. Kevin, 2006. "Coordinating pricing and production decisions in the presence of price competition," European Journal of Operational Research, Elsevier, vol. 170(1), pages 211-227, April.
    15. 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.
    16. Jan A. Van Mieghem & Nils Rudi, 2002. "Newsvendor Networks: Inventory Management and Capacity Investment with Discretionary Activities," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 313-335, August.
    17. Dasci, A. & Karakul, M., 2009. "Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly," European Journal of Operational Research, Elsevier, vol. 197(3), pages 945-968, September.
    18. Cao, Zong-Hong & Zhou, Yong-Wu & Zhao, Ju & Li, Chang-Wen, 2015. "Entry mode selection and its impact on an incumbent supply chain coordination," Journal of Retailing and Consumer Services, Elsevier, vol. 26(C), pages 1-13.
    19. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    20. 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.

    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:38:y:1991:i:2:p:221-240. 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.