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On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design

Author

Listed:
  • Mor Armony

    (Stern School of Business, New York University, 44 West 4th Street, Suite 8-66, New York, New York 10012)

  • Constantinos Maglaras

    (Columbia Business School, 409 Uris Hall, 3022 Broadway, New York, New York 10027)

Abstract

Organizations worldwide use contact centers as an important channel of communication and transaction with their customers. This paper describes a contact center with two channels, one for real-time telephone service, and another for a postponed call-back service offered with a guarantee on the maximum delay until a reply is received. Customers are sensitive to both real-time and call-back delay and their behavior is captured through a probabilistic choice model. The dynamics of the system are modeled as an M/M/N multiclass system. We rigorously justify that as the number of agents increases, the system's load approaches its maximum processing capacity. Based on this observation, we perform an asymptotic analysis in the many-server, heavy traffic regime to find an asymptotically optimal routing rule, characterize the unique equilibrium regime of the system, approximate the system performance, and finally, propose a staffing rule that picks the minimum number of agents that satisfies a set of operational constraints on the performance of the system.

Suggested Citation

  • Mor Armony & Constantinos Maglaras, 2004. "On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design," Operations Research, INFORMS, vol. 52(2), pages 271-292, April.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:2:p:271-292
    DOI: 10.1287/opre.1030.0088
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    References listed on IDEAS

    as
    1. Constantinos Maglaras & Assaf Zeevi, 2003. "Pricing and Capacity Sizing for Systems with Shared Resources: Approximate Solutions and Scaling Relations," Management Science, INFORMS, vol. 49(8), pages 1018-1038, August.
    2. Linda Green & Peter Kolesar, 1991. "The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals," Management Science, INFORMS, vol. 37(1), pages 84-97, January.
    3. Ward Whitt, 2003. "How Multiserver Queues Scale with Growing Congestion-Dependent Demand," Operations Research, INFORMS, vol. 51(4), pages 531-542, August.
    4. A. Puhalskii, 1994. "On the Invariance Principle for the First Passage Time," Mathematics of Operations Research, INFORMS, vol. 19(4), pages 946-954, November.
    5. Martin I. Reiman, 1984. "Open Queueing Networks in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 441-458, August.
    6. Kalyan Talluri & Garrett van Ryzin, 2004. "Revenue Management Under a General Discrete Choice Model of Consumer Behavior," Management Science, INFORMS, vol. 50(1), pages 15-33, January.
    7. Shlomo Halfin & Ward Whitt, 1981. "Heavy-Traffic Limits for Queues with Many Exponential Servers," Operations Research, INFORMS, vol. 29(3), pages 567-588, June.
    8. Constantinos Maglaras & Assaf Zeevi, 2004. "Diffusion Approximations for a Multiclass Markovian Service System with “Guaranteed” and “Best-Effort” Service Levels," Mathematics of Operations Research, INFORMS, vol. 29(4), pages 786-813, November.
    9. Robert M. Saltzman & Vijay Mehrotra, 2001. "A Call Center Uses Simulation to Drive Strategic Change," Interfaces, INFORMS, vol. 31(3), pages 87-101, June.
    10. Mor Armony & Constantinos Maglaras, 2004. "Contact Centers with a Call-Back Option and Real-Time Delay Information," Operations Research, INFORMS, vol. 52(4), pages 527-545, August.
    11. Sem Borst & Avi Mandelbaum & Martin I. Reiman, 2004. "Dimensioning Large Call Centers," Operations Research, INFORMS, vol. 52(1), pages 17-34, February.
    12. Otis B. Jennings & Avishai Mandelbaum & William A. Massey & Ward Whitt, 1996. "Server Staffing to Meet Time-Varying Demand," Management Science, INFORMS, vol. 42(10), pages 1383-1394, October.
    13. Noah Gans & Yong-Pin Zhou, 2003. "A Call-Routing Problem with Service-Level Constraints," Operations Research, INFORMS, vol. 51(2), pages 255-271, April.
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