Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1705193 | Applied Mathematical Modelling | 2011 | 10 Pages |
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.
Keywords
Related Topics
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Engineering
Computational Mechanics
Authors
Doo Ho Lee, Won Seok Yang, Hyun Min Park,