IDEAS home Printed from
   My bibliography  Save this article

Managing product variety with advance selling and capacity restrictions


  • Kuthambalayan, Thyagaraj S.
  • Mehta, Peeyush
  • Shanker, Kripa


In this research we analyze the impact of advance selling with price discount on a firms׳ ability to maximize the expected profit. The production environment of the firm is characterized by short selling cycle, multiple products, demand variability, and capacity restrictions. The advance orders are randomly distributed with the parameters dependent on the discount levels under advance selling. The advance orders are used to update the demand forecast of selling season, and are delivered at the start of the selling season. The problem is modeled as a three-stage, stochastic non-linear programming problem. We derive the concavity of the problem under customers willingness to buy in advance. Our solution methodology comprises the variance reduction technique of ‘Antithetic Variates’ that gives credible value of price discount levels for different sets of demand values. We also provide sensitivity analysis of the problem parameters to derive insights into the behavior of the expected profit, and the benefits due to advance selling under capacity restrictions.

Suggested Citation

  • Kuthambalayan, Thyagaraj S. & Mehta, Peeyush & Shanker, Kripa, 2015. "Managing product variety with advance selling and capacity restrictions," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 287-296.
  • Handle: RePEc:eee:proeco:v:170:y:2015:i:pa:p:287-296
    DOI: 10.1016/j.ijpe.2015.10.006

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

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

    References listed on IDEAS

    1. Gérard P. Cachon & Robert Swinney, 2009. "Purchasing, Pricing, and Quick Response in the Presence of Strategic Consumers," Management Science, INFORMS, vol. 55(3), pages 497-511, March.
    2. Cuihong Li & Fuqiang Zhang, 2013. "Advance Demand Information, Price Discrimination, and Preorder Strategies," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 57-71, September.
    3. anonymous, 1999. "Order for currency notes for fiscal year 2000," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Oct, pages 671-671.
    4. Fangruo Chen, 2001. "Market Segmentation, Advanced Demand Information, and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 53-67, February.
    5. Kevin McCardle & Kumar Rajaram & Christopher S. Tang, 2004. "Advance Booking Discount Programs Under Retail Competition," Management Science, INFORMS, vol. 50(5), pages 701-708, May.
    6. Qian Liu & Garrett J. van Ryzin, 2008. "Strategic Capacity Rationing to Induce Early Purchases," Management Science, INFORMS, vol. 54(6), pages 1115-1131, June.
    7. 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.
    8. Kim, Sang-Won, 2015. "The impact of customer buying behavior on the optimal allocation decisions," International Journal of Production Economics, Elsevier, vol. 163(C), pages 71-88.
    9. Özalp Özer & Wei Wei, 2006. "Strategic Commitments for an Optimal Capacity Decision Under Asymmetric Forecast Information," Management Science, INFORMS, vol. 52(8), pages 1238-1257, August.
    10. Alexei Alexandrov & Martin A. Lariviere, 2012. "Are Reservations Recommended?," Manufacturing & Service Operations Management, INFORMS, vol. 14(2), pages 218-230, April.
    11. Georgiadis, George & Tang, Christopher S., 2014. "Optimal reservation policies and market segmentation," International Journal of Production Economics, Elsevier, vol. 154(C), pages 81-99.
    12. Liu, Zhongyi & Chen, Lihua & Li, Ling & Zhai, Xin, 2014. "Risk hedging in a supply chain: Option vs. price discount," International Journal of Production Economics, Elsevier, vol. 151(C), pages 112-120.
    13. 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.
    14. 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.
    15. Jinhong Xie & Steven M. Shugan, 2001. "Electronic Tickets, Smart Cards, and Online Prepayments: When and How to Advance Sell," Marketing Science, INFORMS, vol. 20(3), pages 219-243, June.
    16. Ananth. V. Iyer & Mark E. Bergen, 1997. "Quick Response in Manufacturer-Retailer Channels," Management Science, INFORMS, vol. 43(4), pages 559-570, April.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. repec:eee:jomega:v:73:y:2017:i:c:p:18-28 is not listed on IDEAS
    3. Um, Juneho & Lyons, Andrew & Lam, Hugo K.S. & Cheng, T.C.E. & Dominguez-Pery, Carine, 2017. "Product variety management and supply chain performance: A capability perspective on their relationships and competitiveness implications," International Journal of Production Economics, Elsevier, vol. 187(C), pages 15-26.


    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:170:y:2015:i:pa:p:287-296. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.