具有反馈的启动-关闭型Geom^X/G/1(MAV)排队

The Geom^X/G/1(MAV) Queue with Feedback Set-up and Close-down Times

文章研究具有反馈的启动-关闭型GeomX/G/1(MAV)排队模型,给出了系统稳态队长和等待时间的母函数及其它们的随机分解结果,并分析系统的忙期,讨论了特例,并推导出一些结论.

This article discusses the GeomX/G/1（MAV）queue with feedback set-up and close-down times.We derive the probability generating function（PGF） of the steady-state queue length immediately after a service completion by the embedded Markov chain and the $PGF$ of the queue length immediately after an arbitrary slot boundary.The busy period of the system is discussed and some exception explored,with some conclusion reached.