A finite-buffer queue with a single vacation policy: An analytical study with evolutionary positioning
2014 ◽
Vol 24
(4)
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pp. 887-900
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Abstract In this paper, application of an evolutionary strategy to positioning a GI/M/1/N-type finite-buffer queueing system with exhaustive service and a single vacation policy is presented. The examined object is modeled by a conditional joint transform of the first busy period, the first idle time and the number of packets completely served during the first busy period. A mathematical model is defined recursively by means of input distributions. In the paper, an analytical study and numerical experiments are presented. A cost optimization problem is solved using an evolutionary strategy for a class of queueing systems described by exponential and Erlang distributions.
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2012 ◽
Vol 2012
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pp. 1-17
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2008 ◽
Vol 52
(3)
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pp. 1615-1635
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2015 ◽
Vol 52
(3)
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pp. 826-840
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