Faculty Publications

Equilibrium Joining Probabilities In Observable Queues With General Service And Setup Times

Document Type

Article

Keywords

Economical analysis, Equilibrium solution, Joining prob-abilities, M/g/1 queue, Setup time

Journal/Book/Conference Title

Journal of Industrial and Management Optimization

Volume

9

Issue

4

First Page

901

Last Page

917

Abstract

This paper analyzes an M/G/1 queue with general setup times from an economical point of view. In such a queue whenever the system be-comes empty, the server is turned o. A new customer's arrival will turn the server on after a setup 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. For the observable and almost observable cases, the equilibrium joining strategies of customers who wish to maximize their expected net benet are obtained. Two numerical examples are presented to illustrate the equilibrium joining prob-abilities for these cases under some specic distribution functions of service times and setup times.

Department

Department of Mathematics

Original Publication Date

9-30-2013

DOI of published version

10.3934/jimo.2013.9.901

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