IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v134y2011i1p95-107.html
   My bibliography  Save this article

An integrated product planning model for pricing and bundle selection using Markov decision processes and data envelope analysis

Author

Listed:
  • Ferreira, Kevin D.
  • Wu, Desheng Dash

Abstract

When bundling products during the product planning stage, there are a number of possible combinations that can be offered to customers. Consider a firm that offers N distinctive products, then there are 2N-(N+1) possible bundling combinations. Now, if we wish to make pricing and bundle selection decisions, keeping in my mind limited inventory and a finite time horizon, then the size of the state space could be very large and finding an optimal solution could be impossible. To tackle this issue, we formulate an integrated model that utilizes a Markov decision process and data envelope analysis. Bundle selections are made using data envelope analysis in each decision epoch. Once the efficient bundles are selected they are priced by solving a Markov decision process using dynamic programming. Numerical examples are solved to exhibit the model's potential in solving real-world problems.

Suggested Citation

  • Ferreira, Kevin D. & Wu, Desheng Dash, 2011. "An integrated product planning model for pricing and bundle selection using Markov decision processes and data envelope analysis," International Journal of Production Economics, Elsevier, vol. 134(1), pages 95-107, November.
  • Handle: RePEc:eee:proeco:v:134:y:2011:i:1:p:95-107
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527311000181
    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

    as
    1. Barry C. Smith & John F. Leimkuhler & Ross M. Darrow, 1992. "Yield Management at American Airlines," Interfaces, INFORMS, vol. 22(1), pages 8-31, February.
    2. Ward Hanson & R. Kipp Martin, 1990. "Optimal Bundle Pricing," Management Science, INFORMS, vol. 36(2), pages 155-174, February.
    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. Desheng Wu & Liang Liang & Zhimin Huang & Susan X. Li, 2005. "Aggregated Ratio Analysis In Dea," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 369-384.
    5. Harlam, Bari A. & Krishna, Aradhna & Lehmann, Donald R. & Mela, Carl, 1995. "Impact of bundle type, price framing and familiarity on purchase intention for the bundle," Journal of Business Research, Elsevier, vol. 33(1), pages 57-66, May.
    6. Erik Lehmann, 2003. "Pricing Behavior on the WEB: Evidence from Online Travel Agencies," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 30(4), pages 379-396, December.
    7. Wu, Desheng Dash, 2009. "Performance evaluation: An integrated method using data envelopment analysis and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 194(1), pages 227-235, April.
    8. Kalyan Talluri & Garrett van Ryzin, 2004. "Revenue Management Under a General Discrete Choice Model of Consumer Behavior," Management Science, INFORMS, vol. 50(1), pages 15-33, January.
    9. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    10. Noel Scott & Noreen Breakey, 2007. "Yield Applied to Destination Management: An Inefficient Analogy?," Tourism Economics, , vol. 13(3), pages 441-452, September.
    11. Gabriel R. Bitran & Stephen M. Gilbert, 1996. "Managing Hotel Reservations with Uncertain Arrivals," Operations Research, INFORMS, vol. 44(1), pages 35-49, February.
    12. Fred Glover & Randy Glover & Joe Lorenzo & Claude McMillan, 1982. "The Passenger-Mix Problem in the Scheduled Airlines," Interfaces, INFORMS, vol. 12(3), pages 73-80, June.
    13. Wen Zhao & Yu-Sheng Zheng, 2000. "Optimal Dynamic Pricing for Perishable Assets with Nonhomogeneous Demand," Management Science, INFORMS, vol. 46(3), pages 375-388, March.
    14. Youyi Feng & Baichun Xiao, 2000. "A Continuous-Time Yield Management Model with Multiple Prices and Reversible Price Changes," Management Science, INFORMS, vol. 46(5), pages 644-657, May.
    15. Varda Liberman & Uri Yechiali, 1978. "On the Hotel Overbooking Problem--An Inventory System with Stochastic Cancellations," Management Science, INFORMS, vol. 24(11), pages 1117-1126, July.
    16. Yoram Kinberg & Ephraim F Sudit, 1979. "Country/Service Bundling in International Tourism: Criteria for the Selection of an Efficient Bundle Mix and Allocation of Joint Revenues," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 10(2), pages 51-62, June.
    17. Koukova, Nevena T. & Kannan, P.K. & Ratchford, Brian T., 2008. "Product form bundling: Implications for marketing digital products," Journal of Retailing, Elsevier, vol. 84(2), pages 181-194.
    18. Peter P. Belobaba, 1989. "OR Practice—Application of a Probabilistic Decision Model to Airline Seat Inventory Control," Operations Research, INFORMS, vol. 37(2), pages 183-197, April.
    19. Kaicker, Ajit & Bearden, William O. & Manning, Kenneth C., 1995. "Component versus bundle pricing : The role of selling price deviations from price expectations," Journal of Business Research, Elsevier, vol. 33(3), pages 231-239, July.
    20. McCardle, Kevin F. & Rajaram, Kumar & Tang, Christopher S., 2007. "Bundling retail products: Models and analysis," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1197-1217, March.
    21. Lawrence R. Weatherford & Samuel E. Bodily, 1992. "A Taxonomy and Research Overview of Perishable-Asset Revenue Management: Yield Management, Overbooking, and Pricing," Operations Research, INFORMS, vol. 40(5), pages 831-844, October.
    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. Ali Azadeh & Hassan Songhori & Nima Salehi, 2017. "A unique optimization model for deterministic bundle pricing of two products with limited stock," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1154-1160, November.
    2. Daniel Schubert & Christa Sys & Rosário Macário, 2022. "Customized airline offer management: a conceptual architecture," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 21(5), pages 553-563, October.
    3. Baldin, Andrea, 2017. "A DEA approach for selecting a bundle of tickets for performing arts events," Journal of Retailing and Consumer Services, Elsevier, vol. 39(C), pages 190-200.
    4. Li, Minqiang & Feng, Haiyang & Chen, Fuzan & Kou, Jisong, 2013. "Numerical investigation on mixed bundling and pricing of information products," International Journal of Production Economics, Elsevier, vol. 144(2), pages 560-571.

    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. Syed Asif Raza & Rafi Ashrafi & Ali Akgunduz, 2020. "A bibliometric analysis of revenue management in airline industry," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(6), pages 436-465, December.
    2. Feng, Youyi & Xiao, Baichun, 2006. "Integration of pricing and capacity allocation for perishable products," European Journal of Operational Research, Elsevier, vol. 168(1), pages 17-34, January.
    3. Gabriel Bitran & René Caldentey, 2003. "An Overview of Pricing Models for Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 5(3), pages 203-229, August.
    4. Youyi Feng & Baichun Xiao, 2000. "Optimal Policies of Yield Management with Multiple Predetermined Prices," Operations Research, INFORMS, vol. 48(2), pages 332-343, April.
    5. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    6. Youyi Feng & Baichun Xiao, 2000. "A Continuous-Time Yield Management Model with Multiple Prices and Reversible Price Changes," Management Science, INFORMS, vol. 46(5), pages 644-657, May.
    7. Youyi Feng & Baichun Xiao, 2001. "A Dynamic Airline Seat Inventory Control Model and Its Optimal Policy," Operations Research, INFORMS, vol. 49(6), pages 938-949, December.
    8. Youyi Feng & Guillermo Gallego, 2000. "Perishable Asset Revenue Management with Markovian Time Dependent Demand Intensities," Management Science, INFORMS, vol. 46(7), pages 941-956, July.
    9. Chatwin, Richard E., 2000. "Optimal dynamic pricing of perishable products with stochastic demand and a finite set of prices," European Journal of Operational Research, Elsevier, vol. 125(1), pages 149-174, August.
    10. Hu, Qiying & Wei, Yihua & Xia, Yusen, 2010. "Revenue management for a supply chain with two streams of customers," European Journal of Operational Research, Elsevier, vol. 200(2), pages 582-598, January.
    11. Wang, Xiubin & Regan, Amelia, 2006. "Dynamic yield management when aircraft assignments are subject to swap," Transportation Research Part B: Methodological, Elsevier, vol. 40(7), pages 563-576, August.
    12. Badinelli, Ralph D., 2000. "An optimal, dynamic policy for hotel yield management," European Journal of Operational Research, Elsevier, vol. 121(3), pages 476-503, March.
    13. Chew, Ek Peng & Lee, Chulung & Liu, Rujing, 2009. "Joint inventory allocation and pricing decisions for perishable products," International Journal of Production Economics, Elsevier, vol. 120(1), pages 139-150, July.
    14. Itir Karaesmen & Garrett van Ryzin, 2004. "Overbooking with Substitutable Inventory Classes," Operations Research, INFORMS, vol. 52(1), pages 83-104, February.
    15. Cao, Ping & Li, Jianbin & Yan, Hong, 2012. "Optimal dynamic pricing of inventories with stochastic demand and discounted criterion," European Journal of Operational Research, Elsevier, vol. 217(3), pages 580-588.
    16. Yuri Levin & Jeff McGill & Mikhail Nediak, 2007. "Price Guarantees in Dynamic Pricing and Revenue Management," Operations Research, INFORMS, vol. 55(1), pages 75-97, February.
    17. Becher, Michael, 2009. "Simultaneous capacity and price control based on fuzzy controllers," International Journal of Production Economics, Elsevier, vol. 121(2), pages 365-382, October.
    18. Aldric Vives & Marta Jacob & Marga Payeras, 2018. "Revenue management and price optimization techniques in the hotel sector," Tourism Economics, , vol. 24(6), pages 720-752, September.
    19. Marcus, Benjamin & Anderson, Chris K., 2008. "Revenue management for low-cost providers," European Journal of Operational Research, Elsevier, vol. 188(1), pages 258-272, July.
    20. Yuri Levin & Jeff McGill & Mikhail Nediak, 2008. "Risk in Revenue Management and Dynamic Pricing," Operations Research, INFORMS, vol. 56(2), pages 326-343, April.

    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:eee:proeco:v:134:y:2011:i:1:p:95-107. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.