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Designing a call center with an IVR (Interactive Voice Response)

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Abstract

A call center is a service operation that caters to customer needs via the telephone. Call centers typically consist of agents that serve customers, telephone lines, an Interactive Voice Response (IVR) unit, and a switch that routes calls to agents. In this paper we study a Markovian model for a call center with an IVR. We calculate operational performance measures, such as the probability for a busy signal and the average wait time for an agent. Exact calculations of these measures are cumbersome and they lack insight. We thus approximate the measures in an asymptotic regime known as QED (Quality and Efficiency Driven) or the Halfin–Whitt regime, which accommodates moderate to large call centers. The approximations are both insightful and easy to apply (for up to 1000’s of agents). They yield, as special cases, known and novel approximations for the M/M/N/N (Erlang-B), M/M/S (Erlang-C) and M/M/S/N queue.

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Authors and Affiliations

  1. Faculty of Industrial Engineering and Management, Technion–Israel Institute of Technology, Haifa, Israel

    Polyna Khudyakov, Paul D. Feigin & Avishai Mandelbaum

Authors
  1. Polyna Khudyakov
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  2. Paul D. Feigin
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  3. Avishai Mandelbaum
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Corresponding author

Correspondence to Polyna Khudyakov.

Additional information

The research was supported by BSF (Binational Science Foundation) grant 2001685/2005175, ISF (Israeli Science Foundation) grants 388/99, 126/02 and 1046/04 and by the Technion funds for the promotion of research and sponsored research.

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Khudyakov, P., Feigin, P.D. & Mandelbaum, A. Designing a call center with an IVR (Interactive Voice Response). Queueing Syst 66, 215–237 (2010). https://doi.org/10.1007/s11134-010-9193-y

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  • DOI: https://doi.org/10.1007/s11134-010-9193-y

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