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Dynamic Capacity Allocation to Customers Who Remember Past Service

Author

Listed:
  • Daniel Adelman

    (Booth School of Business, The University of Chicago, Chicago, Illinois 60637)

  • Adam J. Mersereau

    (Kenan-Flagler Business School, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599)

Abstract

We study the problem faced by a supplier deciding how to dynamically allocate limited capacity among a portfolio of customers who remember the fill rates provided to them in the past. A customer's order quantity is positively correlated with past fill rates. Customers differ from one another in their contribution margins, their sensitivities to the past, and in their demand volatilities. By analyzing and comparing policies that ignore goodwill with ones that account for it, we investigate when and how customer memory effects impact supplier profits. We develop an approximate dynamic programming policy that dynamically rationalizes the fill rates the firm provides to each customer. This policy achieves higher rewards than margin-greedy and Lagrangian policies and yields insights into how a supplier can effectively manage customer memories to its advantage. This paper was accepted by Martin Lariviere, operations management.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:59:y:2013:i:3:p:592-612
    DOI: 10.1287/mnsc.1120.1643
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    References listed on IDEAS

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    1. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    2. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Allocation Using Past Sales: When to Turn-and-Earn," Management Science, INFORMS, vol. 45(5), pages 685-703, May.
    3. Sunil Gupta & Donald R. Lehmann, 2008. "Models of Customer Value," International Series in Operations Research & Management Science, in: Berend Wierenga (ed.), Handbook of Marketing Decision Models, chapter 0, pages 255-290, Springer.
    4. Joseph Hall & Evan Porteus, 2000. "Customer Service Competition in Capacitated Systems," Manufacturing & Service Operations Management, INFORMS, vol. 2(2), pages 144-165, November.
    5. 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.
    6. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
    7. 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.
    8. Daniel Adelman & Adam J. Mersereau, 2008. "Relaxations of Weakly Coupled Stochastic Dynamic Programs," Operations Research, INFORMS, vol. 56(3), pages 712-727, June.
    9. Sam Aflaki, 2012. "Managing Retention in Service Relationships," Post-Print hal-00712866, HAL.
    10. Duncan I. Simester & Peng Sun & John N. Tsitsiklis, 2006. "Dynamic Catalog Mailing Policies," Management Science, INFORMS, vol. 52(5), pages 683-696, May.
    11. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    12. Werner J. Reinartz & Rajkumar Venkatesan, 2008. "Decision Models for Customer Relationship Management (CRM)," International Series in Operations Research & Management Science, in: Berend Wierenga (ed.), Handbook of Marketing Decision Models, chapter 0, pages 291-326, Springer.
    13. Scott Carr & William Lovejoy, 2000. "The Inverse Newsvendor Problem: Choosing an Optimal Demand Portfolio for Capacitated Resources," Management Science, INFORMS, vol. 46(7), pages 912-927, July.
    14. D. P. de Farias & B. Van Roy, 2003. "The Linear Programming Approach to Approximate Dynamic Programming," Operations Research, INFORMS, vol. 51(6), pages 850-865, December.
    15. Tava Lennon Olsen & Rodney P. Parker, 2008. "Inventory Management Under Market Size Dynamics," Management Science, INFORMS, vol. 54(10), pages 1805-1821, October.
    16. Noah Gans, 2002. "Customer Loyalty and Supplier Quality Competition," Management Science, INFORMS, vol. 48(2), pages 207-221, February.
    17. Jean-Pierre Dubé & Günter Hitsch & Puneet Manchanda, 2005. "An Empirical Model of Advertising Dynamics," Quantitative Marketing and Economics (QME), Springer, vol. 3(2), pages 107-144, June.
    18. Fader, Peter S. & Hardie, Bruce G.S., 2009. "Probability Models for Customer-Base Analysis," Journal of Interactive Marketing, Elsevier, vol. 23(1), pages 61-69.
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