IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v54y2006i6p1128-1136.html
   My bibliography  Save this article

Expected Value of Distribution Information for the Newsvendor Problem

Author

Listed:
  • Jinfeng Yue

    (Department of Management and Marketing, Jennings A. Jones College of Business, Middle Tennessee State University, Murfreesboro, Tennessee 37132)

  • Bintong Chen

    (Department of Management and Operations, College of Business and Economics, Washington State University, Pullman, Washington 99164-4736)

  • Min-Chiang Wang

    (Department of Management and Operations, College of Business and Economics, Washington State University, Pullman, Washington 99164-4736)

Abstract

This paper extends previous work on the distribution-free newsvendor problem, where only partial information about the demand distribution is available. More specifically, the analysis assumes that the demand distribution f belongs to a class of probability distribution functions (pdf) (F-script) with mean (mu) and standard deviation (sigma). While previous work has examined the expected value of distribution information (EVDI) for a particular order quantity and a particular pdf f , this paper aims at computing the maximum EVDI over all f (in) (F-script) for any order quantity. In addition, an optimization procedure is provided to calculate the order quantity that minimizes the maximum EVDI.

Suggested Citation

  • Jinfeng Yue & Bintong Chen & Min-Chiang Wang, 2006. "Expected Value of Distribution Information for the Newsvendor Problem," Operations Research, INFORMS, vol. 54(6), pages 1128-1136, December.
  • Handle: RePEc:inm:oropre:v:54:y:2006:i:6:p:1128-1136
    DOI: 10.1287/opre.1060.0318
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1060.0318
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.1060.0318?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. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Kevin H. Shang & Jing-Sheng Song, 2002. "Newsvendor Bounds and A Heuristic for Optimal Policies in Serial Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 2-4.
    3. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    4. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    5. Fangruo Chen & Yu-Sheng Zheng, 1998. "Near-Optimal Echelon-Stock (R, nQ) Policies in Multistage Serial Systems," Operations Research, INFORMS, vol. 46(4), pages 592-602, August.
    6. Hariga, Moncer & Ben-Daya, Mohamed, 1999. "Some stochastic inventory models with deterministic variable lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 42-51, February.
    7. Yu-Sheng Zheng, 1992. "On Properties of Stochastic Inventory Systems," Management Science, INFORMS, vol. 38(1), pages 87-103, January.
    8. Lo, Andrew W., 1987. "Semi-parametric upper bounds for option prices and expected payoffs," Journal of Financial Economics, Elsevier, vol. 19(2), pages 373-387, December.
    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. Yue, Jinfeng & Wang, Min-Chiang & Chen, Bintong, 2007. "Mean-range based distribution-free procedures to minimize "overage" and "underage" costs," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1103-1116, January.
    2. Kevin H. Shang & Jing-Sheng Song & Paul H. Zipkin, 2009. "Coordination Mechanisms in Decentralized Serial Inventory Systems with Batch Ordering," Management Science, INFORMS, vol. 55(4), pages 685-695, April.
    3. Banerjee, Pradeep K. & Turner, T. Rolf, 2012. "A flexible model for the pricing of perishable assets," Omega, Elsevier, vol. 40(5), pages 533-540.
    4. P-S You, 2003. "Dynamic pricing of inventory with cancellation demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1093-1101, October.
    5. Kevin H. Shang & Jing-Sheng Song, 2007. "Serial Supply Chains with Economies of Scale: Bounds and Approximations," Operations Research, INFORMS, vol. 55(5), pages 843-853, October.
    6. Riezebos, Jan, 2006. "Inventory order crossovers," International Journal of Production Economics, Elsevier, vol. 104(2), pages 666-675, December.
    7. Khanra, Avijit & Soman, Chetan & Bandyopadhyay, Tathagata, 2014. "Sensitivity analysis of the newsvendor model," European Journal of Operational Research, Elsevier, vol. 239(2), pages 403-412.
    8. Zuluaga, Luis F. & Peña, Javier & Du, Donglei, 2009. "Third-order extensions of Lo's semiparametric bound for European call options," European Journal of Operational Research, Elsevier, vol. 198(2), pages 557-570, October.
    9. Mitra, Subrata, 2018. "Newsvendor problem with clearance pricing," European Journal of Operational Research, Elsevier, vol. 268(1), pages 193-202.
    10. Kogan, Konstantin & Herbon, Avi, 2008. "Production under periodic demand update prior to a single selling season: A decomposition approach," European Journal of Operational Research, Elsevier, vol. 184(1), pages 133-146, January.
    11. Choi, Sangdo & Ketzenberg, Michael, 2018. "An inverse newsvendor model to set the optimal number of customers in a capacitated environment," International Journal of Production Economics, Elsevier, vol. 196(C), pages 188-197.
    12. Gérard P. Cachon & A. Gürhan Kök, 2007. "Implementation of the Newsvendor Model with Clearance Pricing: How to (and How Not to) Estimate a Salvage Value," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 276-290, October.
    13. Khouja, Moutaz & Robbins, Stephanie S., 2005. "Optimal pricing and quantity of products with two offerings," European Journal of Operational Research, Elsevier, vol. 163(2), pages 530-544, June.
    14. Kevin H. Shang & Sean X. Zhou, 2010. "Optimal and Heuristic Echelon ( r, nQ, T ) Policies in Serial Inventory Systems with Fixed Costs," Operations Research, INFORMS, vol. 58(2), pages 414-427, April.
    15. Khanra, Avijit & Soman, Chetan, 2013. "Sensitivity Analysis of the Newsboy Model," IIMA Working Papers WP2013-09-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    16. Chun, Young H., 2003. "Optimal pricing and ordering policies for perishable commodities," European Journal of Operational Research, Elsevier, vol. 144(1), pages 68-82, January.
    17. Kevin H. Shang, 2008. "Note: A Simple Heuristic for Serial Inventory Systems with Fixed Order Costs," Operations Research, INFORMS, vol. 56(4), pages 1039-1043, August.
    18. Ming Hu & Yi Yang, 2014. "Modified Echelon ( r, Q ) Policies with Guaranteed Performance Bounds for Stochastic Serial Inventory Systems," Operations Research, INFORMS, vol. 62(4), pages 812-828, August.
    19. Ang, Marcus & Song, Jing-Sheng & Wang, Mingzheng & Zhang, Hanqin, 2013. "On properties of discrete (r, q) and (s, T) inventory systems," European Journal of Operational Research, Elsevier, vol. 229(1), pages 95-105.
    20. Hu, Chaoming & Wan, Zhao Man & Zhu, Saihua & Wan, Zhong, 2022. "An integrated stochastic model and algorithm for constrained multi-item newsvendor problems by two-stage decision-making approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 280-300.

    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:oropre:v:54:y:2006:i:6:p:1128-1136. 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.