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A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning

Marcin WoźniakWojciech M. KempaMarcin GabryelRobert K. Nowicki — 2014

International Journal of Applied Mathematics and Computer Science

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...

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