Geo/G/1 queues with disasters and general repair times

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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. (C) 2010 Elsevier Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2011-04
Language
English
Article Type
Article
Keywords

DISCRETE-TIME; NEGATIVE CUSTOMERS; GEO/GEO/1 QUEUE; RETRIAL QUEUE; G-NETWORKS; SERVER; ARRIVALS

Citation

APPLIED MATHEMATICAL MODELLING, v.35, no.4, pp.1561 - 1570

ISSN
0307-904X
DOI
10.1016/j.apm.2010.09.032
URI
http://hdl.handle.net/10203/94282
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