期刊名称:International Journal of Applied Mathematics and Computer Science
电子版ISSN:2083-8492
出版年度:2014
卷号:24
期号:4
DOI:10.2478/amcs-2014-0065
出版社:De Gruyter Open
摘要: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.