IDEAS home Printed from https://ideas.repec.org/a/inm/ormsom/v14y2012i3p472-484.html
   My bibliography  Save this article

A Multiordering Newsvendor Model with Dynamic Forecast Evolution

Author

Listed:
  • Tong Wang

    (NUS Business School, National University of Singapore, Singapore 119245)

  • Atalay Atasu

    (College of Management, Georgia Institute of Technology, Atlanta, Georgia 30308)

  • Mümin Kurtuluş

    (Owen Graduate School of Management, Vanderbilt University, Nashville, Tennessee 37203)

Abstract

We consider a newsvendor who dynamically updates her forecast of the market demand over a finite planning horizon. The forecast evolves according to the martingale model of forecast evolution (MMFE). The newsvendor can place multiple orders with increasing ordering cost over time to satisfy demand that realizes at the end of the planning horizon. In this context, we explore the trade-off between improving demand forecast and increasing ordering cost. We show that the optimal ordering policy is a state-dependent base-stock policy and analytically characterize that the base-stock level depends on the information state in a linear ( log-linear ) fashion for additive (multiplicative) MMFE. We also study a benchmark model where the newsvendor is restricted to order only once. By comparing the multiordering and single-ordering models, we quantify the impact of the multiordering strategy on the newsvendor's expected profit and risk exposure.

Suggested Citation

  • Tong Wang & Atalay Atasu & Mümin Kurtuluş, 2012. "A Multiordering Newsvendor Model with Dynamic Forecast Evolution," Manufacturing & Service Operations Management, INFORMS, vol. 14(3), pages 472-484, July.
  • Handle: RePEc:inm:ormsom:v:14:y:2012:i:3:p:472-484
    DOI: 10.1287/msom.1120.0387
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/msom.1120.0387
    Download Restriction: no

    File URL: https://libkey.io/10.1287/msom.1120.0387?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. Yossi Aviv, 2001. "The Effect of Collaborative Forecasting on Supply Chain Performance," Management Science, INFORMS, vol. 47(10), pages 1326-1343, October.
    2. Levy, Haim, 1973. "Stochastic Dominance Among Log-Normal Prospects," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 601-614, October.
    3. Haresh Gurnani & Christopher S. Tang, 1999. "Note: Optimal Ordering Decisions with Uncertain Cost and Demand Forecast Updating," Management Science, INFORMS, vol. 45(10), pages 1456-1462, October.
    4. Karen L. Donohue, 2000. "Efficient Supply Contracts for Fashion Goods with Forecast Updating and Two Production Modes," Management Science, INFORMS, vol. 46(11), pages 1397-1411, November.
    5. Apostolos Burnetas & Stephen Gilbert, 2001. "Future Capacity Procurements Under Unknown Demand and Increasing Costs," Management Science, INFORMS, vol. 47(7), pages 979-992, July.
    6. Warren H. Hausman, 1969. "Sequential Decision Problems: A Model to Exploit Existing Forecasters," Management Science, INFORMS, vol. 16(2), pages 93-111, October.
    7. Tetsuo Iida & Paul H. Zipkin, 2006. "Approximate Solutions of a Dynamic Forecast-Inventory Model," Manufacturing & Service Operations Management, INFORMS, vol. 8(4), pages 407-425, October.
    8. Christopher S. Tang & Kumar Rajaram & Ayd{i}n Alptekinou{g}lu & Jihong Ou, 2004. "The Benefits of Advance Booking Discount Programs: Model and Analysis," Management Science, INFORMS, vol. 50(4), pages 465-478, April.
    9. Ozer, Ozalp & Uncu, Onur & Wei, Wei, 2007. "Selling to the "Newsvendor" with a forecast update: Analysis of a dual purchase contract," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1150-1176, November.
    10. Stephen C. Graves & David B. Kletter & William B. Hetzel, 1998. "A Dynamic Model for Requirements Planning with Application to Supply Chain Optimization," Operations Research, INFORMS, vol. 46(3-supplem), pages 35-49, June.
    11. Tor Schoenmeyr & Stephen C. Graves, 2009. "Strategic Safety Stocks in Supply Chains with Evolving Forecasts," Manufacturing & Service Operations Management, INFORMS, vol. 11(4), pages 657-673, March.
    12. L. Beril Toktay & Lawrence M. Wein, 2001. "Analysis of a Forecasting-Production-Inventory System with Stationary Demand," Management Science, INFORMS, vol. 47(9), pages 1268-1281, September.
    13. Marshall Fisher & Kumar Rajaram, 2000. "Accurate Retail Testing of Fashion Merchandise: Methodology and Application," Marketing Science, INFORMS, vol. 19(3), pages 266-278, June.
    14. Joseph M. Milner & Panos Kouvelis, 2005. "Order Quantity and Timing Flexibility in Supply Chains: The Role of Demand Characteristics," Management Science, INFORMS, vol. 51(6), pages 970-985, June.
    15. Marshall Fisher & Ananth Raman, 1996. "Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales," Operations Research, INFORMS, vol. 44(1), pages 87-99, February.
    16. Li Chen & Hau L. Lee, 2009. "Information Sharing and Order Variability Control Under a Generalized Demand Model," Management Science, INFORMS, vol. 55(5), pages 781-797, May.
    17. Xiangwen Lu & Jing-Sheng Song & Amelia Regan, 2006. "Inventory Planning with Forecast Updates: Approximate Solutions and Cost Error Bounds," Operations Research, INFORMS, vol. 54(6), pages 1079-1097, December.
    18. Hanqing Jin & Harry Markowitz & Xun Yu Zhou, 2006. "A Note On Semivariance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 53-61, January.
    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. Felix Papier, 2016. "Supply Allocation Under Sequential Advance Demand Information," Operations Research, INFORMS, vol. 64(2), pages 341-361, April.
    2. Li Chen & Hau L. Lee, 2009. "Information Sharing and Order Variability Control Under a Generalized Demand Model," Management Science, INFORMS, vol. 55(5), pages 781-797, May.
    3. Tetsuo Iida & Paul Zipkin, 2010. "Competition and Cooperation in a Two-Stage Supply Chain with Demand Forecasts," Operations Research, INFORMS, vol. 58(5), pages 1350-1363, October.
    4. Sechan Oh & Özalp Özer, 2013. "Mechanism Design for Capacity Planning Under Dynamic Evolutions of Asymmetric Demand Forecasts," Management Science, INFORMS, vol. 59(4), pages 987-1007, April.
    5. Yimin Wang & Brian Tomlin, 2009. "To wait or not to wait: Optimal ordering under lead time uncertainty and forecast updating," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(8), pages 766-779, December.
    6. Kaijie Zhu & Ulrich W. Thonemann, 2004. "Modeling the Benefits of Sharing Future Demand Information," Operations Research, INFORMS, vol. 52(1), pages 136-147, February.
    7. Gah-Yi Ban & Jérémie Gallien & Adam J. Mersereau, 2019. "Dynamic Procurement of New Products with Covariate Information: The Residual Tree Method," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 798-815, October.
    8. Julia Miyaoka & Warren H. Hausman, 2008. "How Improved Forecasts Can Degrade Decentralized Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 547-562, July.
    9. Iida, Tetsuo, 2015. "Benefits of leadtime information and of its combination with demand forecast information," International Journal of Production Economics, Elsevier, vol. 163(C), pages 146-156.
    10. Choi, Tsan-Ming & Sethi, Suresh, 2010. "Innovative quick response programs: A review," International Journal of Production Economics, Elsevier, vol. 127(1), pages 1-12, September.
    11. Bicer, Isik & Hagspiel, Verena, 2016. "Valuing quantity flexibility under supply chain disintermediation risk," International Journal of Production Economics, Elsevier, vol. 180(C), pages 1-15.
    12. Julia Miyaoka & Warren Hausman, 2004. "How a Base Stock Policy Using "Stale" Forecasts Provides Supply Chain Benefits," Manufacturing & Service Operations Management, INFORMS, vol. 6(2), pages 149-162, September.
    13. Altug, Mehmet Sekip & Muharremoglu, Alp, 2011. "Inventory management with advance supply information," International Journal of Production Economics, Elsevier, vol. 129(2), pages 302-313, February.
    14. Alexandre Forel & Martin Grunow, 2023. "Dynamic stochastic lot sizing with forecast evolution in rolling‐horizon planning," Production and Operations Management, Production and Operations Management Society, vol. 32(2), pages 449-468, February.
    15. Xiang, Mengyuan & Rossi, Roberto & Martin-Barragan, Belen & Tarim, S. Armagan, 2023. "A mathematical programming-based solution method for the nonstationary inventory problem under correlated demand," European Journal of Operational Research, Elsevier, vol. 304(2), pages 515-524.
    16. Nihat Altintas & Michael Trick, 2014. "A data mining approach to forecast behavior," Annals of Operations Research, Springer, vol. 216(1), pages 3-22, May.
    17. Zhang, Bin & Duan, Dongxia & Ma, Yurui, 2018. "Multi-product expedited ordering with demand forecast updates," International Journal of Production Economics, Elsevier, vol. 206(C), pages 196-208.
    18. Alain Bensoussan & Qi Feng & Suresh P. Sethi, 2011. "Achieving a Long-Term Service Target with Periodic Demand Signals: A Newsvendor Framework," Manufacturing & Service Operations Management, INFORMS, vol. 13(1), pages 73-88, February.
    19. Baruah, Pundarikaksha, 2006. "Supply Chains Facing Atypical Demand: Optimal Operational Policies And Benefits Under Information Sharing," MPRA Paper 16101, University Library of Munich, Germany.
    20. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.

    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:ormsom:v:14:y:2012:i:3:p:472-484. 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.