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Coordination of a socially responsible two-stage supply chain under price-dependent random demand

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  • Xia Zhao

    (Nanjing University of Finance and Economics)

  • Runsheng Yin

    (Michigan State University)

Abstract

This paper investigates the coordination problem of a supply chain (SC) composed of a manufacturer exhibiting corporate social responsibility (CSR) and a retailer faced with random demand. The random demand is made up of the multiplication of price-dependent demand and random demand factor (RDF), plus the CSR-dependent demand. The centralized decision problem of the SC is an extension of the existing price setting newsvendor problem (PSNP). It is found that the sufficient condition for the quasi-concavity of expected profit (EP) on PSNP can not ensure the quasi-concavity of EP of the SC. Then, the concavity condition of EP related to the CSR effect factor is presented in the case of uniformly distributed RDF and linear demand in price, and the concavity of EP is proven under centralized decision. For decentralized decision under manufacturer’s Stackelberg game, the manufacturer determines wholesale price and its CSR investment, and then the retailer decides the order quantity and the retail price. The standard revenue-sharing (RS) contract is found not able to coordinate the SC, so a modified RS (MRS) contract is proposed to coordinate the SC. Finally, numerical examples illustrate the validity of the theoretical analysis and the coordination effectiveness of the MRS contract via Matlab.

Suggested Citation

  • Xia Zhao & Runsheng Yin, 2018. "Coordination of a socially responsible two-stage supply chain under price-dependent random demand," 4OR, Springer, vol. 16(4), pages 379-400, December.
    • Handle: RePEc:spr:aqjoor:v:16:y:2018:i:4:d:10.1007_s10288-017-0368-9
    DOI: 10.1007/s10288-017-0368-9
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    References listed on IDEAS

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    1. Panda, S. & Modak, N.M. & Basu, M. & Goyal, S.K., 2015. "Channel coordination and profit distribution in a social responsible three-layer supply chain," International Journal of Production Economics, Elsevier, vol. 168(C), pages 224-233.
    2. B. Ageron & A. Gunasekaran & A. Spalanzani, 2012. "Sustainable supply management : an empirical study," Post-Print halshs-00740499, HAL.
    3. Panda, Shibaji, 2014. "Coordination of a socially responsible supply chain using revenue sharing contract," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 92-104.
    4. Cruz, Jose M., 2008. "Dynamics of supply chain networks with corporate social responsibility through integrated environmental decision-making," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1005-1031, February.
    5. Kenneth M. Amaeshi & Onyeka K. Osuji & Paul Nnodim, 2008. "Corporate Social Responsibility in Supply Chains of Global Brands: A Boundaryless Responsibility? Clarifications, Exceptions and Implications," Journal of Business Ethics, Springer, vol. 81(1), pages 223-234, August.
    6. Hsueh, Che-Fu, 2014. "Improving corporate social responsibility in a supply chain through a new revenue sharing contract," International Journal of Production Economics, Elsevier, vol. 151(C), pages 214-222.
    7. Ageron, Blandine & Gunasekaran, Angappa & Spalanzani, Alain, 2012. "Sustainable supply management: An empirical study," International Journal of Production Economics, Elsevier, vol. 140(1), pages 168-182.
    8. Cruz, Jose M. & Wakolbinger, Tina, 2008. "Multiperiod effects of corporate social responsibility on supply chain networks, transaction costs, emissions, and risk," International Journal of Production Economics, Elsevier, vol. 116(1), pages 61-74, November.
    9. Xia Zhao & Fangwei Wu, 2011. "Coordination Of Agri-Food Chain With Revenue-Sharing Contract Under Stochastic Output And Stochastic Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 487-510.
    10. 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.
    11. Hsueh, Che-Fu & Chang, Mei-Shiang, 2008. "Equilibrium analysis and corporate social responsibility for supply chain integration," European Journal of Operational Research, Elsevier, vol. 190(1), pages 116-129, October.
    12. Ni, Debing & Li, Kevin W. & Tang, Xiaowo, 2010. "Social responsibility allocation in two-echelon supply chains: Insights from wholesale price contracts," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1269-1279, December.
    13. Xu, Xiaolin & Cai, Xiaoqiang & Chen, Youhua, 2011. "Unimodality of price-setting newsvendor's objective function with multiplicative demand and its applications," International Journal of Production Economics, Elsevier, vol. 133(2), pages 653-661, October.
    14. Yunzeng Wang & Li Jiang & Zuo-Jun Shen, 2004. "Channel Performance Under Consignment Contract with Revenue Sharing," Management Science, INFORMS, vol. 50(1), pages 34-47, January.
    15. Ayşe Kocabıyıkoğlu & Ioana Popescu, 2011. "An Elasticity Approach to the Newsvendor with Price-Sensitive Demand," Operations Research, INFORMS, vol. 59(2), pages 301-312, April.
    16. Carter, Craig R. & Jennings, Marianne M., 2002. "Social responsibility and supply chain relationships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(1), pages 37-52, January.
    17. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    18. Hsueh, Che-Fu, 2015. "A bilevel programming model for corporate social responsibility collaboration in sustainable supply chain management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 84-95.
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    2. Y. Sarada & S. Sangeetha, 2022. "Coordinating a reverse supply chain with price and warranty dependent random demand under collection uncertainties," Operational Research, Springer, vol. 22(4), pages 4119-4158, September.

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