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The impact of a waiting-time threshold in overflow systems with impatient customers

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  • Stolletz, Raik
  • Manitz, Michael

Abstract

This paper analyzes the performance of call centers with impatient customers, two levels of support, and an overflow mechanism. Waiting calls from the front-office queue – if not reneging – are sent to the back office if at least one back-office agent is available and if a certain threshold t on the waiting time is reached. We approximate such systems via a continuous-time Markov chain that allows for overflow immediately upon arrival. Two different approaches for the derivation of the respective probability of an overflow are developed. Numerical results compare the reliability of these Markovian performance approximations for different parameter settings. The impact of the threshold t on different performance measures is shown dependent on the impatience of customers.

Suggested Citation

  • Stolletz, Raik & Manitz, Michael, 2013. "The impact of a waiting-time threshold in overflow systems with impatient customers," Omega, Elsevier, vol. 41(2), pages 280-286.
    • Handle: RePEc:eee:jomega:v:41:y:2013:i:2:p:280-286
    DOI: 10.1016/j.omega.2012.05.001
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    References listed on IDEAS

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    1. Chevalier, Philippe & Tabordon, Nathalie, 2003. "Overflow analysis and cross-trained servers," International Journal of Production Economics, Elsevier, vol. 85(1), pages 47-60, July.
    2. Dietz, Dennis C., 2011. "Practical scheduling for call center operations," Omega, Elsevier, vol. 39(5), pages 550-557, October.
    3. Peter Sendfeld, 2008. "Two Queues with Weighted One-Way Overflow," Methodology and Computing in Applied Probability, Springer, vol. 10(4), pages 557-558, December.
    4. Peter Sendfeld, 2008. "Two Queues with Weighted One-Way Overflow," Methodology and Computing in Applied Probability, Springer, vol. 10(4), pages 531-555, December.
    5. Noah Gans & Yong-Pin Zhou, 2007. "Call-Routing Schemes for Call-Center Outsourcing," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 33-50, May.
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    2. Liu, Jian & Chen, Jian & Bo, Rui & Meng, Fanlin & Xu, Yong & Li, Peng, 2023. "Increases or discounts: Price strategies based on customers’ patience times," European Journal of Operational Research, Elsevier, vol. 305(2), pages 722-737.

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