Faculty Publications

Equilibrium Balking Strategies In Markovian Queues With Working Vacations

Document Type

Article

Keywords

Balking, Equilibrium strategies, M/M/1 queue, Queueing, Threshold strategies, Working vacations

Journal/Book/Conference Title

Applied Mathematical Modelling

Volume

37

Issue

16-17

First Page

8264

Last Page

8282

Abstract

The equilibrium balking strategies are investigated in the paper for observable and unobservable single-server queues with working vacations. In such an M/M/1 queue with working vacations, the server undertakes the workload with a lower service rate rather than completely stops to work during the vacation period. Upon arrival, the customers decide whether to join or balk the queue based on observation of the queue length and the status of the server, along with the reward-cost structure of the system. Accordingly, four cases with respect to different levels of information are studied and the corresponding Nash equilibria are derived. Finally, the effect of the information levels as well as several parameters on the equilibrium threshold and equilibrium entrance probabilities is illustrated by numerical examples. © 2013 Elsevier Inc.

Department

Department of Mathematics

Original Publication Date

9-1-2013

DOI of published version

10.1016/j.apm.2013.03.049

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