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Adaptive scheduling in service systems: A Dynamic programming approach

Roshan Mahes, Michel Mandjes, Marko Boon and Peter Taylor

European Journal of Operational Research, 2024, vol. 312, issue 2, 605-626

Abstract: This paper considers appointment scheduling in a setting in which at every client arrival the schedule of all future clients can be adapted. Starting our analysis with an explicit treatment of the case of exponentially distributed service times, we then develop a phase-type-based approach to also cover cases in which the service times’ squared coefficient of variation differs from 1. The approach relies on dynamic programming, with the state information being the number of clients waiting, the elapsed service time of the client in service, and the number of clients still to be scheduled. The use of dynamic schedules is illustrated through a set of numerical experiments, showing (i) the effect of wrongly assuming exponentially distributed service times, and (ii) the gains (over static schedules, that is) achieved by rescheduling.

Keywords: Queueing; Service systems; Appointment scheduling; Dynamic programming (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:312:y:2024:i:2:p:605-626

DOI: 10.1016/j.ejor.2023.06.026

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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