Article ID Journal Published Year Pages File Type
1705193 Applied Mathematical Modelling 2011 10 Pages PDF
Abstract

This paper discusses discrete-time single server Geo/G/1 queues that are subject to failure due to a disaster arrival. Upon a disaster arrival, all present customers leave the system. At a failure epoch, the server is turned off and the repair period immediately begins. The repair times are commonly distributed random variables. We derive the probability generating functions of the queue length distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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