The GI/M/1 queue and the GI/Geo/1 queue both with single working vacation

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We first consider the continuous-time GI/M/1 queue with single working vacation (SWV). During the SWV, the server works at a different rate rather than completely stopping working. We derive the steady-state distributions for the number of customers in the system both at arrival and arbitrary epochs, and for the FIFO sojourn time for an arbitrary customer. We then consider the discrete-time GI/Geo/1/SWV queue by contrasting it with the GI/M/1/SWV queue. (C) 2009 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2009-07
Language
English
Article Type
Article
Citation

PERFORMANCE EVALUATION, v.66, pp.356 - 367

ISSN
0166-5316
DOI
10.1016/j.peva.2009.01.005
URI
http://hdl.handle.net/10203/174240
Appears in Collection
IE-Journal Papers(저널논문)
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