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A competitive multiple-product newsboy problem with partial product substitution

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  • Huang, Di
  • Zhou, Hong
  • Zhao, Qiu-Hong

Abstract

This paper studies a multi-product competitive newsboy problem with shortage penalty cost and partial product substitution. We characterize the unique Nash equilibrium of the competitive model and analyze some properties of the equilibrium. An iterative algorithm is developed on the basis of approximating the effective demand as well as the expected profit function for each product. Numerical experiments are conducted to illustrate the impacts of product substitution, demand correlation and demand variation on the optimal order quantities and the corresponding expected profits, and to compare the total optimal inventory level of the competitive case with that of the centralized case. The conclusion that competition always results in a higher total inventory level, even under the effect of product substitution is drawn in the symmetric case.

Suggested Citation

  • Huang, Di & Zhou, Hong & Zhao, Qiu-Hong, 2011. "A competitive multiple-product newsboy problem with partial product substitution," Omega, Elsevier, vol. 39(3), pages 302-312, June.
    • Handle: RePEc:eee:jomega:v:39:y:2011:i:3:p:302-312
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    References listed on IDEAS

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    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Yang, Shilei & Shi, Chunming Victor & Zhao, Xuan, 2011. "Optimal ordering and pricing decisions for a target oriented newsvendor," Omega, Elsevier, vol. 39(1), pages 110-115, January.
    3. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    4. Wu, Jun & Li, Jian & Wang, Shouyang & Cheng, T.C.E., 2009. "Mean-variance analysis of the newsvendor model with stockout cost," Omega, Elsevier, vol. 37(3), pages 724-730, June.
    5. Kevork, Ilias S., 2010. "Estimating the optimal order quantity and the maximum expected profit for single-period inventory decisions," Omega, Elsevier, vol. 38(3-4), pages 218-227, June.
    6. Casimir, Rommert J., 2002. "The value of information in the multi-item newsboy problem," Omega, Elsevier, vol. 30(1), pages 45-50, February.
    7. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
    8. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    9. 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.
    10. 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.
    11. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    12. Müller, Alfred & Scarsini, Marco, 2000. "Some Remarks on the Supermodular Order," Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 107-119, April.
    13. Mahmut Parlar, 1988. "Game theoretic analysis of the substitutable product inventory problem with random demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 397-409, June.
    14. Wallace J. Hopp & Xiaowei Xu, 2008. "A Static Approximation for Dynamic Demand Substitution with Applications in a Competitive Market," Operations Research, INFORMS, vol. 56(3), pages 630-645, June.
    15. Mahesh Nagarajan & S. Rajagopalan, 2008. "Inventory Models for Substitutable Products: Optimal Policies and Heuristics," Management Science, INFORMS, vol. 54(8), pages 1453-1466, August.
    16. Arthur Hsu & Yehuda Bassok, 1999. "Random Yield and Random Demand in a Production System with Downward Substitution," Operations Research, INFORMS, vol. 47(2), pages 277-290, April.
    17. Keren, Baruch, 2009. "The single-period inventory problem: Extension to random yield from the perspective of the supply chain," Omega, Elsevier, vol. 37(4), pages 801-810, August.
    18. Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
    19. Feng, Tianjun & Keller, L. Robin & Zheng, Xiaona, 2011. "Decision making in the newsvendor problem: A cross-national laboratory study," Omega, Elsevier, vol. 39(1), pages 41-50, January.
    20. Chen, Liang-Hsuan & Chen, Ying-Che, 2010. "A multiple-item budget-constraint newsboy problem with a reservation policy," Omega, Elsevier, vol. 38(6), pages 431-439, December.
    21. Ding, Ding & Chen, Jian, 2008. "Coordinating a three level supply chain with flexible return policies," Omega, Elsevier, vol. 36(5), pages 865-876, October.
    22. Choi, Tsan-Ming & Li, Duan & Yan, Houmin & Chiu, Chun-Hung, 2008. "Channel coordination in supply chains with agents having mean-variance objectives," Omega, Elsevier, vol. 36(4), pages 565-576, August.
    23. Di Huang & Qiu Hong Zhao & Cheng Cheng Fan, 2010. "Simulation-based Optimization of Inventory Model with Products Substitution," International Handbooks on Information Systems, in: T. C. Edwin Cheng & Tsan-Ming Choi (ed.), Innovative Quick Response Programs in Logistics and Supply Chain Management, pages 297-312, Springer.
    24. 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.
    25. Yang, Hongsuk & Schrage, Linus, 2009. "Conditions that cause risk pooling to increase inventory," European Journal of Operational Research, Elsevier, vol. 192(3), pages 837-851, February.
    26. Siddharth Mahajan & Garrett van Ryzin, 2001. "Inventory Competition Under Dynamic Consumer Choice," Operations Research, INFORMS, vol. 49(5), pages 646-657, October.
    27. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2008. "Evaluating manufacturer's buyback policies in a single-period two-echelon framework under price-dependent stochastic demand," Omega, Elsevier, vol. 36(5), pages 808-824, October.
    28. Steven A. Lippman & Kevin F. McCardle, 1997. "The Competitive Newsboy," Operations Research, INFORMS, vol. 45(1), pages 54-65, February.
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