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Optimal pricing and production decisions in the presence of symmetrical and asymmetrical substitution

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  • Kim, Sang-Won
  • Bell, Peter C.

Abstract

Firms may produce a variety of generally similar products or may practice "scientific pricing" or revenue management where the firm will offer similar or somewhat differentiated products in multiple market segments at different prices. Whenever generally similar products are available, the demand for the products is linked through the ability of the customer to substitute one product for another. One widely known type of demand substitution is referred to as inventory-driven substitution where a customer will substitute for a product that is out of stock by buying a similar product. A second type of substitution occurs as a response to price-differences when a customer substitutes a less expensive product for a similar higher priced product. As firms use dynamic pricing to match demand with inventory or capacity while maximizing revenue or contribution, there is a need to take into account the fact that the creation of price differences between market segments will motivate customers to try to switch from higher priced segments to lower priced segments leading to price-driven product substitution. If the firms' price behavior leads to stockouts, inventory-driven product substitution may also occur. Both these effects will impact the firms' price and production capacity decisions. In this paper, we consider the impact of price-driven substitution on a firm's pricing and production capacity decisions for a single period, when the firm sells to multiple market segments. We show that revenue managers and supply chain coordinators should adapt product prices in each market segment and order quantities to take into account substitution by customers and the costs of supplying product to each market. We develop both deterministic and stochastic models with substitution as a result of price-differences. We investigate the impact of the symmetrical and asymmetrical demand substitution on optimal prices, production levels and revenue or contribution and the impact of changes in the production cost on the optimal solutions.

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  • Kim, Sang-Won & Bell, Peter C., 2011. "Optimal pricing and production decisions in the presence of symmetrical and asymmetrical substitution," Omega, Elsevier, vol. 39(5), pages 528-538, October.
    • Handle: RePEc:eee:jomega:v:39:y:2011:i:5:p:528-538
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    as
    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. Dutta, Pankaj & Chakraborty, Debjani, 2010. "Incorporating one-way substitution policy into the newsboy problem with imprecise customer demand," European Journal of Operational Research, Elsevier, vol. 200(1), pages 99-110, January.
    3. Bodily, S. E. & Weatherford, L. R., 1995. "Perishable-asset revenue management: Generic and multiple-price yield management with diversion," Omega, Elsevier, vol. 23(2), pages 173-185, April.
    4. Xuanming Su, 2007. "Intertemporal Pricing with Strategic Customer Behavior," Management Science, INFORMS, vol. 53(5), pages 726-741, May.
    5. Zhang, Ju-Liang & Chen, Jian & Lee, Chung-Yee, 2008. "Joint optimization on pricing, promotion and inventory control with stochastic demand," International Journal of Production Economics, Elsevier, vol. 116(2), pages 190-198, December.
    6. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    7. Xiao, Tiaojun & Qi, Xiangtong, 2008. "Price competition, cost and demand disruptions and coordination of a supply chain with one manufacturer and two competing retailers," Omega, Elsevier, vol. 36(5), pages 741-753, October.
    8. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    9. Zhang, Michael & Bell, Peter C., 2007. "The effect of market segmentation with demand leakage between market segments on a firm's price and inventory decisions," European Journal of Operational Research, Elsevier, vol. 182(2), pages 738-754, October.
    10. Dai, Yue & Chao, Xiuli & Fang, Shu-Cherng & Nuttle, Henry L.W., 2005. "Pricing in revenue management for multiple firms competing for customers," International Journal of Production Economics, Elsevier, vol. 98(1), pages 1-16, October.
    11. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    12. E. Andrew Boyd, 2007. "The Future of Pricing," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-60690-6, October.
    13. Edwin S. Mills, 1959. "Uncertainty and Price Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 73(1), pages 116-130.
    14. Brian Tomlin & Yimin Wang, 2008. "Pricing and Operational Recourse in Coproduction Systems," Management Science, INFORMS, vol. 54(3), pages 522-537, March.
    15. Wallace J. Hopp & Xiaowei Xu, 2005. "Product Line Selection and Pricing with Modularity in Design," Manufacturing & Service Operations Management, INFORMS, vol. 7(3), pages 172-187, August.
    16. Tsai, Wen-Hsien & Hung, Shih-Jieh, 2009. "Dynamic pricing and revenue management process in Internet retailing under uncertainty: An integrated real options approach," Omega, Elsevier, vol. 37(2), pages 471-481, April.
    17. Yücel, Eda & Karaesmen, Fikri & Salman, F. Sibel & Türkay, Metin, 2009. "Optimizing product assortment under customer-driven demand substitution," European Journal of Operational Research, Elsevier, vol. 199(3), pages 759-768, December.
    18. Robert A. Shumsky & Fuqiang Zhang, 2009. "Dynamic Capacity Management with Substitution," Operations Research, INFORMS, vol. 57(3), pages 671-684, June.
    19. Kobrin, Paul, 1981. "Fuel switching, gasoline price controls, and the leaded-unleaded gasoline price differential," Journal of Environmental Economics and Management, Elsevier, vol. 8(3), pages 287-302, September.
    20. Khouja, Moutaz & Mehrez, Abraham & Rabinowitz, Gad, 1996. "A two-item newsboy problem with substitutability," International Journal of Production Economics, Elsevier, vol. 44(3), pages 267-275, July.
    21. Rajaram, Kumar & Tang, Christopher S., 2001. "The impact of product substitution on retail merchandising," European Journal of Operational Research, Elsevier, vol. 135(3), pages 582-601, December.
    22. Karakul, M. & Chan, L.M.A., 2008. "Analytical and managerial implications of integrating product substitutability in the joint pricing and procurement problem," European Journal of Operational Research, Elsevier, vol. 190(1), pages 179-204, October.
    23. Stephen A. Smith & Narendra Agrawal, 2000. "Management of Multi-Item Retail Inventory Systems with Demand Substitution," Operations Research, INFORMS, vol. 48(1), pages 50-64, February.
    24. G. R. Bitran & S. Dasu, 1992. "Ordering Policies in an environment of Stochastic Yields and Substitutable Demands," Operations Research, INFORMS, vol. 40(5), pages 999-1017, October.
    25. Dye, Chung-Yuan, 2007. "Joint pricing and ordering policy for a deteriorating inventory with partial backlogging," Omega, Elsevier, vol. 35(2), pages 184-189, April.
    26. Pan, Kewen & Lai, K.K. & Liang, L. & Leung, Stephen C.H., 2009. "Two-period pricing and ordering policy for the dominant retailer in a two-echelon supply chain with demand uncertainty," Omega, Elsevier, vol. 37(4), pages 919-929, August.
    27. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
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