Endogenous Queue Number Determination in G/M/s Systems

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Authors

Abstract

This paper presents a model for the endogenous determination of the number of queues in an G/M/$s$ system. Customers arriving at a system where $s$ customers are being served play a game, choosing between $s$ parallel queues or one single queue. Equilibria are obtained for risk-neutral and risk-averse customers. With risk-neutral customers, both a single queue and multiple queues are equilibrium states, and there is scope for mixed strategies. When risk-averse customers are considered, there is a unique single queue equilibrium. These results are discussed and suggestions for further research put forth.

JEL: C73 C72

Keywords: Queues - Applications: strategic interactions. Queues - Multichannel: determining number. Games/group decisions: strategic queueing.

Details

Original languageEnglish
Journal4OR
Publication statusAccepted/In press - 20 Mar 2020

Keywords

  • Queues - Applications: strategic interactions, Queues - Multichannel: determining number, Games/group decisions: strategic queueing