Service-Level Variability of Inbound Call Centers

  • Authors:
  • Alex Roubos;Ger Koole;Raik Stolletz

  • Affiliations:
  • Department of Mathematics, VU University Amsterdam, 1081 HV Amsterdam, The Netherlands;Department of Mathematics, VU University Amsterdam, 1081 HV Amsterdam, The Netherlands;Business School, University of Mannheim, 68131 Mannheim, Germany

  • Venue:
  • Manufacturing & Service Operations Management
  • Year:
  • 2012

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Abstract

In practice, call center service levels are reported over periods of finite length that are usually no longer than 24 hours. In such small periods the service level has a large variability. It is therefore not sufficient to base staffing decisions only on the expected service level. In this paper we consider the classical M/M/s queueing model that is often used in call centers. We develop accurate approximations for the service-level distribution based on extensive simulations. This distribution is used for a service-level variability-controlled staffing approach to circumvent the shortcomings of the traditional staffing based on the expected service level.