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SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers

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  • Jing Dong

    (Graduate School of Business, Columbia University, New York, New York 10027)

  • Rouba Ibrahim

    (School of Management, University College London, London E14 5AB, United Kingdom)

Abstract

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, much less is known about its performance in multiserver queues. In this paper, we present the first theoretical analysis of SRPT in multiserver queues with abandonment. In particular, we consider the M / G I / s + G I queue and demonstrate that, in the many-sever overloaded regime, performance in the SRPT queue is equivalent, asymptotically in steady state, to a preemptive two-class priority queue where customers with short service times (below a threshold) are served without wait, and customers with long service times (above a threshold) eventually abandon without service. We prove that the SRPT discipline maximizes, asymptotically, the system throughput, among all scheduling disciplines. We also compare the performance of the SRPT policy to blind policies and study the effects of the patience-time and service-time distributions.

Suggested Citation

  • Jing Dong & Rouba Ibrahim, 2021. "SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers," Management Science, INFORMS, vol. 67(12), pages 7708-7718, December.
    • Handle: RePEc:inm:ormnsc:v:67:y:2021:i:12:p:7708-7718
    DOI: 10.1287/mnsc.2021.4110
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    References listed on IDEAS

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