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Personalized queues: the customer view, via a fluid model of serving least-patient first

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  • Avishai Mandelbaum

    (Technion)

  • Petar Momčilović

    (University of Florida)

Abstract

In personalized queues, information at the level of individuals—customers or servers—affects system dynamics. Such information is becoming increasingly accessible, directly or statistically, as exemplified by personalized/precision medicine (customers) or call center workforce management (servers). In the present work, we take advantage of personalized information about customers, specifically knowledge of their actual (im)patience while waiting to be served. This waiting takes place in a many-server queue that alternates between over- and underloaded periods, hence a fluid view provides a natural modeling framework. The parsimonious fluid view enables us to parameterize and analyze partial information, and consequently calculate and understand the benefits from personalized customer information. We do this by comparing least-patience first (LPF) routing (personalized) against FCFS (relatively info-ignorant). An example of a resulting insight is that LPF can provide significant advantages over FCFS when the durations of overloaded periods are comparable to (im)patience times.

Suggested Citation

  • Avishai Mandelbaum & Petar Momčilović, 2017. "Personalized queues: the customer view, via a fluid model of serving least-patient first," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 23-53, October.
    • Handle: RePEc:spr:queues:v:87:y:2017:i:1:d:10.1007_s11134-017-9537-y
    DOI: 10.1007/s11134-017-9537-y
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    References listed on IDEAS

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    Cited by:

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    4. Jinsheng Chen & Jing Dong & Pengyi Shi, 2020. "A survey on skill-based routing with applications to service operations management," Queueing Systems: Theory and Applications, Springer, vol. 96(1), pages 53-82, October.

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