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A simulation-based approach to price optimisation of the mixed bundling problem with capacity constraints

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  • Mayer, Stefan
  • Klein, Robert
  • Seiermann, Stephanie

Abstract

In this paper, we analyse a service provider’s mixed bundling problem for services such as sporting events or holiday packages. Pursuing the objective of maximising total revenue, the service provider has to determine static prices for each single product at the beginning of the selling period. Additionally, an optimal package price has to be chosen for the bundle that comprises one unit of each single product. Because of capacity constraints, the availability of products can change over time such that consumers are forced to switch from their preferred subset of products to an alternative following dynamic substitution.

Suggested Citation

  • Mayer, Stefan & Klein, Robert & Seiermann, Stephanie, 2013. "A simulation-based approach to price optimisation of the mixed bundling problem with capacity constraints," International Journal of Production Economics, Elsevier, vol. 145(2), pages 584-598.
    • Handle: RePEc:eee:proeco:v:145:y:2013:i:2:p:584-598
    DOI: 10.1016/j.ijpe.2013.05.014
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    1. Gensler, Sonja & Hinz, Oliver & Skiera, Bernd & Theysohn, Sven, 2012. "Willingness-to-pay estimation with choice-based conjoint analysis: Addressing extreme response behavior with individually adapted designs," European Journal of Operational Research, Elsevier, vol. 219(2), pages 368-378.
    2. Anderson, Simon P. & Leruth, Luc, 1993. "Why firms may prefer not to price discriminate via mixed bundling," International Journal of Industrial Organization, Elsevier, vol. 11(1), pages 49-61, March.
    3. Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), 2012. "Operations Research Proceedings 2011," Operations Research Proceedings, Springer, edition 127, number 978-3-642-29210-1, March.
    4. Burkart, Wolfgang R. & Klein, Robert & Mayer, Stefan, 2012. "Product line pricing for services with capacity constraints and dynamic substitution," European Journal of Operational Research, Elsevier, vol. 219(2), pages 347-359.
    5. Ward Hanson & R. Kipp Martin, 1990. "Optimal Bundle Pricing," Management Science, INFORMS, vol. 36(2), pages 155-174, February.
    6. Schmalensee, Richard, 1984. "Gaussian Demand and Commodity Bundling," The Journal of Business, University of Chicago Press, vol. 57(1), pages 211-230, January.
    7. Shin-yi Wu & Lorin M. Hitt & Pei-yu Chen & G. Anandalingam, 2008. "Customized Bundle Pricing for Information Goods: A Nonlinear Mixed-Integer Programming Approach," Management Science, INFORMS, vol. 54(3), pages 608-622, March.
    8. Liao, Chun-Hsiung & Tauman, Yair, 2002. "The role of bundling in price competition," International Journal of Industrial Organization, Elsevier, vol. 20(3), pages 365-389, March.
    9. Li, Juan & Tang, Ou, 2012. "Capacity and pricing policies with consumer overflow behavior," International Journal of Production Economics, Elsevier, vol. 140(2), pages 825-832.
    10. Salinger, Michael A, 1995. "A Graphical Analysis of Bundling," The Journal of Business, University of Chicago Press, vol. 68(1), pages 85-98, January.
    11. Torsten Olderog & Bernd Skiera, 2000. "The Benefits Of Bundling Strategies," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 52(2), pages 137-159, April.
    12. Lorin M. Hitt & Pei-yu Chen, 2005. "Bundling with Customer Self-Selection: A Simple Approach to Bundling Low-Marginal-Cost Goods," Management Science, INFORMS, vol. 51(10), pages 1481-1493, October.
    13. Franziska Voelckner, 2006. "An empirical comparison of methods for measuring consumers’ willingness to pay," Marketing Letters, Springer, vol. 17(2), pages 137-149, April.
    14. Christian Schlereth & Christine Eckert & Bernd Skiera, 2012. "Using discrete choice experiments to estimate willingness-to-pay intervals," Marketing Letters, Springer, vol. 23(3), pages 761-776, September.
    15. Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
    16. Bulut, Zümbül & Gürler, Ülkü & Sen, Alper, 2009. "Bundle pricing of inventories with stochastic demand," European Journal of Operational Research, Elsevier, vol. 197(3), pages 897-911, September.
    17. Chen, Yongmin, 1997. "Equilibrium Product Bundling," The Journal of Business, University of Chicago Press, vol. 70(1), pages 85-103, January.
    18. Carmen Matutes & Pierre Regibeau, 1988. ""Mix and Match": Product Compatibility without Network Externalities," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 221-234, Summer.
    19. R. Venkatesh & Wagner Kamakura, 2003. "Optimal Bundling and Pricing under a Monopoly: Contrasting Complements and Substitutes from Independently Valued Products," The Journal of Business, University of Chicago Press, vol. 76(2), pages 211-232, April.
    20. Matutes, Carmen & Regibeau, Pierre, 1992. "Compatibility and Bundling of Complementary Goods in a Duopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 37-54, March.
    21. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 371-383.
    22. Kamel Jedidi & Z. John Zhang, 2002. "Augmenting Conjoint Analysis to Estimate Consumer Reservation Price," Management Science, INFORMS, vol. 48(10), pages 1350-1368, October.
    23. Praveen K. Kopalle & Aradhna Krishna & João L. Assunção, 1999. "The role of market expansion on equilibrium bundling strategies," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(7), pages 365-377.
    24. Kamel Jedidi & Sharan Jagpal & Puneet Manchanda, 2003. "Measuring Heterogeneous Reservation Prices for Product Bundles," Marketing Science, INFORMS, vol. 22(1), pages 107-130, July.
    25. Gürlera, Ülkü & Öztop, Salih & Sen, Alper, 2009. "Optimal bundle formation and pricing of two products with limited stock," International Journal of Production Economics, Elsevier, vol. 118(2), pages 442-462, April.
    26. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
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    Cited by:

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    2. Xu, Yueying Hazel & Wong, IpKin Anthony & Tan, Xiuchang Sherry, 2016. "Exploring event bundling: The strategy and its impacts," Tourism Management, Elsevier, vol. 52(C), pages 455-467.
    3. Ata Allah Taleizadeh & Masoumeh Sadat Babaei & Seyed Taghi Akhavan Niaki & Mahsa Noori-daryan, 2020. "Bundle pricing and inventory decisions on complementary products," Operational Research, Springer, vol. 20(2), pages 517-541, June.
    4. Chen, Ting & Shan, Feifei & Yang, Feng & Xu, Fengmei, 2023. "Online retailer bundling strategy in a dual-channel supply chain," International Journal of Production Economics, Elsevier, vol. 259(C).
    5. Mayer, Stefan & Steinhardt, Claudius, 2016. "Optimal product line pricing in the presence of budget-constrained consumers," European Journal of Operational Research, Elsevier, vol. 248(1), pages 219-233.
    6. Pan, Fei & Pan, Shenle & Zhou, Wei & Fan, Tijun, 2022. "Perishable product bundling with logistics uncertainty: Solution based on physical internet," International Journal of Production Economics, Elsevier, vol. 244(C).
    7. Moon, Ilkyeong & Park, Kun Soo & Hao, Jing & Kim, Dongwook, 2017. "Joint decisions on product line selection, purchasing, and pricing," European Journal of Operational Research, Elsevier, vol. 262(1), pages 207-216.
    8. Haiyan Shan & Chen Zhang & Guo Wei, 2020. "Bundling or Unbundling? Pricing Strategy for Complementary Products in a Green Supply Chain," Sustainability, MDPI, vol. 12(4), pages 1-25, February.
    9. Kopczewski, Tomasz & Sobolewski, Maciej & Miernik, Ireneusz, 2018. "Bundling or unbundling? Integrated simulation model of optimal pricing strategies," International Journal of Production Economics, Elsevier, vol. 204(C), pages 328-345.
    10. Vamosiu, Adriana, 2018. "Compatibility and bundling of stand and No stand-alone use complements," International Journal of Production Economics, Elsevier, vol. 201(C), pages 62-74.
    11. Li, Jianbin & Liu, Lang & Luo, Xiaomeng & Zhu, Stuart X., 2023. "Interactive bundle pricing strategy for online pharmacies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).

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