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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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    Citations

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    Cited by:

    1. repec:spr:ijsaem:v:8:y:2017:i:4:d:10.1007_s13198-016-0557-5 is not listed on IDEAS
    2. V. Pando & L. San-José & J. García-Laguna & J. Sicilia, 2014. "Some general properties for the newsboy problem with an extraordinary order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 674-693, July.
    3. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9333-y is not listed on IDEAS
    4. Su, Ping & Tian, Zhongjun & Wang, Haiyan, 2012. "On service degrade at a discount: Capacity, demand pooling, and optimal discounting," Omega, Elsevier, vol. 40(3), pages 358-367.
    5. Qiang, Qiang & Ke, Ke & Anderson, Trisha & Dong, June, 2013. "The closed-loop supply chain network with competition, distribution channel investment, and uncertainties," Omega, Elsevier, vol. 41(2), pages 186-194.
    6. Saedi, Samira & Kundakcioglu, O. Erhun & Henry, Andrea C., 2016. "Mitigating the impact of drug shortages for a healthcare facility: An inventory management approach," European Journal of Operational Research, Elsevier, vol. 251(1), pages 107-123.
    7. Shin, Hojung & Park, Soohoon & Lee, Euncheol & Benton, W.C., 2015. "A classification of the literature on the planning of substitutable products," European Journal of Operational Research, Elsevier, vol. 246(3), pages 686-699.
    8. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "A newsboy problem with an emergency order under a general backorder rate function," Omega, Elsevier, vol. 41(6), pages 1020-1028.
    9. Hu, Benyong & Xu, Dong & Meng, Chao, 2017. "Inconsistency of a retailer's optimal policies and channel performance under revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 53-65.
    10. Hu, Benyong & Meng, Chao & Xu, Dong & Son, Young-Jun, 2016. "Three-echelon supply chain coordination with a loss-averse retailer and revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 179(C), pages 192-202.
    11. Halkos, George & Kevork, Ilias, 2012. "Validity and precision of estimates in the classical newsvendor model with exponential and rayleigh demand," MPRA Paper 36460, University Library of Munich, Germany.
    12. Halkos, George & Kevork, Ilias, 2012. "Evaluating alternative estimators for optimal order quantities in the newsvendor model with skewed demand," MPRA Paper 36205, University Library of Munich, Germany.
    13. Liu, Wei & Song, Shiji & Wu, Cheng, 2013. "Impact of loss aversion on the newsvendor game with product substitution," International Journal of Production Economics, Elsevier, vol. 141(1), pages 352-359.
    14. Banerjee, Pradeep K. & Turner, T. Rolf, 2012. "A flexible model for the pricing of perishable assets," Omega, Elsevier, vol. 40(5), pages 533-540.
    15. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    16. Wang, Fuqiang & Fang, Xiaoping & Chen, Xiaohong & Li, Xihua, 2016. "Impact of inventory inaccuracies on products with inventory-dependent demand," International Journal of Production Economics, Elsevier, vol. 177(C), pages 118-130.

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