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Dynamic supplier competition and cooperation for buyer loyalty on service

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  • Deligiannis, Michalis
  • Liberopoulos, George
  • Benioudakis, Myron

Abstract

A firm’s service-driven always-a-share behavior may have a significant effect on the competitive and cooperative inventory policies of its suppliers. To explore this effect, we consider a model of a repeat buyer (she) sharing her patronage among two heterogeneous newsvendor-type suppliers over an infinite horizon. To enjoy the best service advantage, the buyer plays one supplier (him) against the other by rewarding product availability with repurchase (loyalty) and punishing stockouts with switching (disloyalty) in the next period. Faced with this behavior, the optimal ordering policy of each supplier is a basestock policy with a non-negative “active” basestock level when the supplier has the buyer’s loyalty and a zero basestock level when he does not. Under competition, the optimal active basestock level of each supplier is greater than his myopic basestock level and increases in the other supplier’s active basestock level. Under a mild condition, the active basestock levels of both suppliers have at least one pure-strategy Nash equilibrium solution. If the suppliers cooperate, the optimal active basestock level of the supplier with the highest/lowest myopic profit is greater/smaller than his myopic basestock level. To better comprehend these results, we apply them to the case where the buyer’s demand is exponentially distributed. This allows us to obtain exact expressions for the optimal active basestock levels and payoff functions, which we then use in a numerical sensitivity analysis. We conclude with a discussion of the extension of the results to more than two suppliers.

Suggested Citation

  • Deligiannis, Michalis & Liberopoulos, George & Benioudakis, Myron, 2023. "Dynamic supplier competition and cooperation for buyer loyalty on service," International Journal of Production Economics, Elsevier, vol. 255(C).
    • Handle: RePEc:eee:proeco:v:255:y:2023:i:c:s0925527322002882
    DOI: 10.1016/j.ijpe.2022.108706
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    as
    1. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    2. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    3. Isaiah Andrews & Daniel Barron, 2016. "The Allocation of Future Business: Dynamic Relational Contracts with Multiple Agents," American Economic Review, American Economic Association, vol. 106(9), pages 2742-2759, September.
    4. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    5. Volodymyr Babich & Apostolos N. Burnetas & Peter H. Ritchken, 2007. "Competition and Diversification Effects in Supply Chains with Supplier Default Risk," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 123-146, October.
    6. Lawrence W. Robinson, 2016. "Appropriate Inventory Policies When Service Affects Future Demands," World Scientific Book Chapters, in: Srinagesh Gavirneni (ed.), Cross-Functional Inventory Research, chapter 5, pages 135-167, World Scientific Publishing Co. Pte. Ltd..
    7. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    8. Li, Jian & Wang, Shouyang & Cheng, T.C.E., 2010. "Competition and cooperation in a single-retailer two-supplier supply chain with supply disruption," International Journal of Production Economics, Elsevier, vol. 124(1), pages 137-150, March.
    9. Wang, Yulan & Wallace, Stein W. & Shen, Bin & Choi, Tsan-Ming, 2015. "Service supply chain management: A review of operational models," European Journal of Operational Research, Elsevier, vol. 247(3), pages 685-698.
    10. Sam Aflaki & Ioana Popescu, 2014. "Managing Retention in Service Relationships," Management Science, INFORMS, vol. 60(2), pages 415-433, February.
    11. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    12. Ehud Kalai & Morton I. Kamien & Michael Rubinovitch, 1992. "Optimal Service Speeds in a Competitive Environment," Management Science, INFORMS, vol. 38(8), pages 1154-1163, August.
    13. Altannar Chinchuluun & Athanasia Karakitsiou & Athanasia Mavrommati, 2008. "Game Theory Models and Their Applications in Inventory Management and Supply Chain," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 833-865, Springer.
    14. Hongmin Li & Hao Zhang & Charles H. Fine, 2013. "Dynamic Business Share Allocation in a Supply Chain with Competing Suppliers," Operations Research, INFORMS, vol. 61(2), pages 280-297, April.
    15. Joseph Hall & Evan Porteus, 2000. "Customer Service Competition in Capacitated Systems," Manufacturing & Service Operations Management, INFORMS, vol. 2(2), pages 144-165, November.
    16. Han, Xiaoya & Yu, Yugang & Hu, Guiping, 2019. "A dynamic newsvendor problem with goodwill-dependent demands and minimum commitment," Omega, Elsevier, vol. 89(C), pages 242-256.
    17. Elahi, Ehsan, 2013. "Outsourcing through competition: What is the best competition parameter?," International Journal of Production Economics, Elsevier, vol. 144(1), pages 370-382.
    18. Gérard P. Cachon & Fuqiang Zhang, 2007. "Obtaining Fast Service in a Queueing System via Performance-Based Allocation of Demand," Management Science, INFORMS, vol. 53(3), pages 408-420, March.
    19. Rossi, Roberto & Prestwich, Steven & Tarim, S. Armagan & Hnich, Brahim, 2014. "Confidence-based optimisation for the newsvendor problem under binomial, Poisson and exponential demand," European Journal of Operational Research, Elsevier, vol. 239(3), pages 674-684.
    20. Gregory DeCroix & Xiaoyang Long & Jordan Tong, 2021. "How Service Quality Variability Hurts Revenue When Customers Learn: Implications for Dynamic Personalized Pricing," Operations Research, INFORMS, vol. 69(3), pages 683-708, May.
    21. Klein, Robert & Kolb, Johannes, 2015. "Maximizing customer equity subject to capacity constraints," Omega, Elsevier, vol. 55(C), pages 111-125.
    22. Tava Lennon Olsen & Rodney P. Parker, 2008. "Inventory Management Under Market Size Dynamics," Management Science, INFORMS, vol. 54(10), pages 1805-1821, October.
    23. Stephen M. Gilbert & Z. Kevin Weng, 1998. "Incentive Effects Favor Nonconsolidating Queues in a Service System: The Principal--Agent Perspective," Management Science, INFORMS, vol. 44(12-Part-1), pages 1662-1669, December.
    24. Chen, Jeesen & Rubin, Herman, 1986. "Bounds for the difference between median and mean of gamma and poisson distributions," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 281-283, October.
    25. Noah Gans, 2002. "Customer Loyalty and Supplier Quality Competition," Management Science, INFORMS, vol. 48(2), pages 207-221, February.
    26. Tianhu Deng & Zuo-Jun Max Shen & J. George Shanthikumar, 2014. "Statistical Learning of Service-Dependent Demand in a Multiperiod Newsvendor Setting," Operations Research, INFORMS, vol. 62(5), pages 1064-1076, October.
    27. Liberopoulos, George & Deligiannis, Michalis, 2022. "Optimal supplier inventory control policies when buyer purchase incidence is driven by past service," European Journal of Operational Research, Elsevier, vol. 300(3), pages 917-936.
    28. Daniel Adelman & Adam J. Mersereau, 2013. "Dynamic Capacity Allocation to Customers Who Remember Past Service," Management Science, INFORMS, vol. 59(3), pages 592-612, January.
    29. Rasmussen, Rasmus V. & Trick, Michael A., 2008. "Round robin scheduling - a survey," European Journal of Operational Research, Elsevier, vol. 188(3), pages 617-636, August.
    30. Albert Y. Ha & Lode Li & Shu-Ming Ng, 2003. "Price and Delivery Logistics Competition in a Supply Chain," Management Science, INFORMS, vol. 49(9), pages 1139-1153, September.
    31. Cetinkaya, S. & Parlar, M., 1998. "Optimal myopic policy for a stochastic inventory problem with fixed and proportional backorder costs," European Journal of Operational Research, Elsevier, vol. 110(1), pages 20-41, October.
    32. Philipp Afèche & Mojtaba Araghi & Opher Baron, 2017. "Customer Acquisition, Retention, and Service Access Quality: Optimal Advertising, Capacity Level, and Capacity Allocation," Manufacturing & Service Operations Management, INFORMS, vol. 19(4), pages 674-691, October.
    33. Liming Liu & Weixin Shang & Shaohua Wu, 2007. "Dynamic Competitive Newsvendors with Service-Sensitive Demands," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 84-93, June.
    34. Siddharth Mahajan & Garrett van Ryzin, 2001. "Stocking Retail Assortments Under Dynamic Consumer Substitution," Operations Research, INFORMS, vol. 49(3), pages 334-351, June.
    35. Silbermayr, Lena, 2020. "A review of non-cooperative newsvendor games with horizontal inventory interactions," Omega, Elsevier, vol. 92(C).
    36. Hon-Shiang Lau, 1997. "Simple formulas for the expected costs in the newsboy problem: An educational note," European Journal of Operational Research, Elsevier, vol. 100(3), pages 557-561, August.
    37. Saif Benjaafar & Ehsan Elahi & Karen L. Donohue, 2007. "Outsourcing via Service Competition," Management Science, INFORMS, vol. 53(2), pages 241-259, February.
    38. Mor Armony & Erica L. Plambeck, 2005. "The Impact of Duplicate Orders on Demand Estimation and Capacity Investment," Management Science, INFORMS, vol. 51(10), pages 1505-1518, October.
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    3. Deligiannis, Michalis & Liberopoulos, George & Pandelis, Dimitrios G., 2023. "Managing supply chain risks with dual sourcing: Bayesian learning of censored supply capacity," International Journal of Production Economics, Elsevier, vol. 265(C).

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