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Optimal appointment scheduling in continuous time: The lag order approximation method

Wouter Vink, Alex Kuiper, Benjamin Kemper and Sandjai Bhulai

European Journal of Operational Research, 2015, vol. 240, issue 1, 213-219

Abstract: We study appointment scheduling problems in continuous time. A finite number of clients are scheduled such that a function of the waiting time of clients, the idle time of the server, and the lateness of the schedule is minimized. The optimal schedule is notoriously hard to derive within reasonable computation times. Therefore, we develop the lag order approximation method, that sets the client’s optimal appointment time based on only a part of his predecessors. We show that a lag order of two, i.e., taking two predecessors into account, results in nearly optimal schedules within reasonable computation times. We illustrate our approximation method with an appointment scheduling problem in a CT-scan area.

Keywords: Appointment scheduling; Heuristics; Lag order approximation method; Utility functions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:240:y:2015:i:1:p:213-219

DOI: 10.1016/j.ejor.2014.06.024

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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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