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Price Differentiation and Inventory Decisions in a Socially Responsible Dual-Channel Supply Chain with Partial Information Stochastic Demand and Cannibalization

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  • Syed Asif Raza

    (Department of Operations Management and Business Statistics, Sultan Qaboos University, Al Seeb Al Khoudh SQU SEPS, Muscat OM 123, Oman)

Abstract

Corporate social responsibility (CSR) has received much of the attention in supply chain management, in particular the pricing decisions. Most existing models that enable CSR integration into pricing decisions in a supply chain context assume deterministic demand and focus on a single distribution channel. Despite the fact that dual-channel supply chain (DCSC) has received popularity, most pricing decisions models in DCSC assume fixed and deterministic market share distribution between channels, and no demand leakages (cannibalization). This paper addresses these gaps by proposing a CSR enabled DCSC model pricing in which the demand is considered to be stochastic and market share distribution between channels in DCSC is optimally determined using a differentiation price, and the impact of demand leakages is also taken into consideration. Unlike existing studies, which only enable pricing decisions due to deterministic demand consideration, comprehensive DCSC models are proposed that provide joint decisions framework on CSR investment, pricing, and inventories. We have also considered the extension of the demand scenario when the distribution of demand is unknown. The two most common coordination schemes, the centralized (integrated) and the decentralized coordination is explored for the three demand situations: (i) deterministic demand; (ii) stochastic with full information; and (iii) stochastic with partial information. We are able to find analytical (closed-form) solutions for most demand situations. The centralized coordination performed better compared to the decentralized for all demand scenarios. The models are benchmarked when the demand is stochastic with known and unknown distributions, as well as, the case of the deterministic demand. A detailed numerical analysis is also presented in order to study the impact of using the price differentiation for market segmentation, the demand leakage, and partial knowledge on the stochastic demand on the players’ decisions and revenues in the supply chain.

Suggested Citation

  • Syed Asif Raza, 2020. "Price Differentiation and Inventory Decisions in a Socially Responsible Dual-Channel Supply Chain with Partial Information Stochastic Demand and Cannibalization," Sustainability, MDPI, vol. 12(22), pages 1-42, November.
  • Handle: RePEc:gam:jsusta:v:12:y:2020:i:22:p:9577-:d:446597
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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. Li, Guo & Li, Lin & Sun, Jiasen, 2019. "Pricing and service effort strategy in a dual-channel supply chain with showrooming effect," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 32-48.
    3. Kaifu Yuan & Guangqiang Wu & Hui Dong & Bo He & Dafei Wang, 2020. "Differential Pricing and Emission Reduction in Remanufacturing Supply Chains with Dual-Sale Channels under CCT-Mechanism," Sustainability, MDPI, vol. 12(19), pages 1-27, October.
    4. Rainer Quante & Herbert Meyr & Moritz Fleischmann, 2009. "Revenue management and demand fulfillment: matching applications, models and software," Springer Books, in: Herbert Meyr & Hans-Otto Günther (ed.), Supply Chain Planning, pages 57-88, Springer.
    5. Chieh Lee & Xun Xu & Chia-Chi Hsu, 2019. "Maximising manufacturer's profit in a dual-channel supply chain with disruption risk," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 33(3), pages 351-368.
    6. 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.
    7. Raza, Syed Asif & Rathinam, Sivakumar & Turiac, Mihaela & Kerbache, Laoucine, 2018. "An integrated revenue management framework for a firm’s greening, pricing and inventory decisions," International Journal of Production Economics, Elsevier, vol. 195(C), pages 373-390.
    8. Haitao Chen & Zhaohui Dong & Gendao Li, 2020. "Government Reward-Penalty Mechanism in Dual-Channel Closed-Loop Supply Chain," Sustainability, MDPI, vol. 12(20), pages 1-15, October.
    9. 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.
    10. Raza, Syed Asif & Govindaluri, Srikrishna Madhumohan, 2019. "Pricing strategies in a dual-channel green supply chain with cannibalization and risk aversion," Operations Research Perspectives, Elsevier, vol. 6(C).
    11. Cai, Gangshu (George) & Zhang, Zhe George & Zhang, Michael, 2009. "Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes," International Journal of Production Economics, Elsevier, vol. 117(1), pages 80-96, January.
    12. Phan, Dinh Anh & Vo, Thi Le Hoa & Lai, Anh Ngoc & Nguyen, Thi Lan Anh, 2019. "Coordinating contracts for VMI systems under manufacturer-CSR and retailer-marketing efforts," International Journal of Production Economics, Elsevier, vol. 211(C), pages 98-118.
    13. Zhou Xideng & Xu Bing & Xie Fei & Li Yu, 2020. "Research on Quality Decisions and Coordination with Reference Effect in Dual-Channel Supply Chain," Sustainability, MDPI, vol. 12(6), pages 1-23, March.
    14. 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.
    15. Gupta, Vishal Kumar & Ting, Q.U. & Tiwari, Manoj Kumar, 2019. "Multi-period price optimization problem for omnichannel retailers accounting for customer heterogeneity," International Journal of Production Economics, Elsevier, vol. 212(C), pages 155-167.
    16. Quante, R. & Meyr, H. & Fleischmann, M., 2007. "Revenue Management and Demand Fulfillment: Matching Applications, Models, and Software," ERIM Report Series Research in Management ERS-2007-050-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    17. Raza, Syed Asif & Rathinam, Sivakumar, 2017. "A risk tolerance analysis for a joint price differentiation and inventory decisions problem with demand leakage effect," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 129-145.
    18. Yan, Ruiliang & Pei, Zhi & Ghose, Sanjoy, 2019. "Reward points, profit sharing, and valuable coordination mechanism in the O2O era," International Journal of Production Economics, Elsevier, vol. 215(C), pages 34-47.
    19. Heydari, Jafar & Govindan, Kannan & Aslani, Amin, 2019. "Pricing and greening decisions in a three-tier dual channel supply chain," International Journal of Production Economics, Elsevier, vol. 217(C), pages 185-196.
    20. Jie Xu & Xiru Yang & Angus Xiao & Lei Chen, 2018. "Optimisation strategy of online dual-channel supply chain under differentiated products," International Journal of Manufacturing Technology and Management, Inderscience Enterprises Ltd, vol. 32(4/5), pages 450-469.
    21. Shiyang Li & Mengli Li & Nan Zhou, 2020. "Pricing and coordination in a dual-channel supply chain with a socially responsible manufacturer," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-15, July.
    22. Huang, Shuai & Fan, Zhi-Ping & Wang, Ningning, 2020. "Green subsidy modes and pricing strategy in a capital-constrained supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    23. Shan Chen & Xu Wang & Yingbo Wu & Fuli Zhou, 2017. "Pricing Policies of a Dual-Channel Supply Chain Considering Channel Environmental Sustainability," Sustainability, MDPI, vol. 9(3), pages 1-14, March.
    24. Maihami, Reza & Govindan, Kannan & Fattahi, Mohammad, 2019. "The inventory and pricing decisions in a three-echelon supply chain of deteriorating items under probabilistic environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 118-138.
    25. Kevin Chiang, Wei-yu & Monahan, George E., 2005. "Managing inventories in a two-echelon dual-channel supply chain," European Journal of Operational Research, Elsevier, vol. 162(2), pages 325-341, April.
    26. 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.
    27. Zhou, Jianheng & Zhao, Ruijuan & Wang, Weishen, 2019. "Pricing decision of a manufacturer in a dual-channel supply chain with asymmetric information," European Journal of Operational Research, Elsevier, vol. 278(3), pages 809-820.
    28. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.
    29. Modak, Nikunja Mohan & Kazemi, Nima & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "Investigating structure of a two-echelon closed-loop supply chain using social work donation as a Corporate Social Responsibility practice," International Journal of Production Economics, Elsevier, vol. 207(C), pages 19-33.
    30. 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.
    31. Xiao, Haohan & Xu, Meng & Yang, Hai, 2020. "Pricing strategies for shared parking management with double auction approach: Differential price vs. uniform price," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    32. Alexander Dahlsrud, 2008. "How corporate social responsibility is defined: an analysis of 37 definitions," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 15(1), pages 1-13, January.
    33. Xuanming Su, 2007. "Intertemporal Pricing with Strategic Customer Behavior," Management Science, INFORMS, vol. 53(5), pages 726-741, May.
    34. Chen, Jing & Zhang, Hui & Sun, Ying, 2012. "Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain," Omega, Elsevier, vol. 40(5), pages 571-583.
    35. Batarfi, R & Jaber, M. Y. & Glock, C. H., 2019. "Pricing and inventory decisions in a dual channel supply chain with learning and forgetting," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 115510, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    36. Batarfi, R. & Jaber, M. Y. & Glock, C. H., 2019. "Pricing and inventory decisions in a dual channel supply chain with learning and forgetting," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 115735, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    37. Raza, Syed Asif, 2015. "An integrated approach to price differentiation and inventory decisions with demand leakage," International Journal of Production Economics, Elsevier, vol. 164(C), pages 105-117.
    38. Hong, Zhaofu & Wang, Hao & Yu, Yugang, 2018. "Green product pricing with non-green product reference," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 1-15.
    39. Li, Wei & Chen, Jing & Liang, Gongqian & Chen, Bintong, 2018. "Money-back guarantee and personalized pricing in a Stackelberg manufacturer's dual-channel supply chain," International Journal of Production Economics, Elsevier, vol. 197(C), pages 84-98.
    40. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    41. Yong Liu & Bing-ting Quan & Jiao Li & Jeffrey Yi-Lin Forrest, 2018. "A Supply Chain Coordination Mechanism with Cost Sharing of Corporate Social Responsibility," Sustainability, MDPI, vol. 10(4), pages 1-25, April.
    42. Wang, Limin & Song, Qiankun, 2020. "Pricing policies for dual-channel supply chain with green investment and sales effort under uncertain demand," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 79-93.
    43. Panda, S. & Modak, N.M. & Sana, S.S. & Basu, M., 2015. "Pricing and replenishment policies in dual-channel supply chain under continuous unit cost decrease," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 913-929.
    44. Zhang, Michael & Bell, Peter C. & Cai, Gangshu (George) & Chen, Xiangfeng, 2010. "Optimal fences and joint price and inventory decisions in distinct markets with demand leakage," European Journal of Operational Research, Elsevier, vol. 204(3), pages 589-596, August.
    45. Dumrongsiri, Aussadavut & Fan, Ming & Jain, Apurva & Moinzadeh, Kamran, 2008. "A supply chain model with direct and retail channels," European Journal of Operational Research, Elsevier, vol. 187(3), pages 691-718, June.
    46. Hua, Guowei & Wang, Shouyang & Cheng, T.C.E., 2010. "Price and lead time decisions in dual-channel supply chains," European Journal of Operational Research, Elsevier, vol. 205(1), pages 113-126, August.
    47. Wen-Chyuan Chiang & Jason C.H. Chen & Xiaojing Xu, 2007. "An overview of research on revenue management: current issues and future research," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 1(1), pages 97-128.
    48. Syed Asif Raza, 2015. "Optimal fare price differentiation with demand leakage in airline industry," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 8(2), pages 99-129.
    49. Xia Zhao & Ning Li & Liang Song, 2019. "Coordination of a Socially Responsible Two-Stage Supply Chain Under Random Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(05), pages 1-27, October.
    50. Raza, Syed Asif, 2018. "Supply chain coordination under a revenue-sharing contract with corporate social responsibility and partial demand information," International Journal of Production Economics, Elsevier, vol. 205(C), pages 1-14.
    51. Zhou, Yong-Wu & Guo, Jinsen & Zhou, Wenhui, 2018. "Pricing/service strategies for a dual-channel supply chain with free riding and service-cost sharing," International Journal of Production Economics, Elsevier, vol. 196(C), pages 198-210.
    52. Modak, Nikunja Mohan & Panda, Shibaji & Sana, Shib Sankar, 2016. "Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 564-578.
    53. Chen, Jingxian & Liang, Liang & Yao, Dong-Qing & Sun, Shengnan, 2017. "Price and quality decisions in dual-channel supply chains," European Journal of Operational Research, Elsevier, vol. 259(3), pages 935-948.
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