M/M/·排队系统的忙期  

The Busy Period of Queueing System M/M/·

作　　者：孙荣恒[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《重庆大学学报（自然科学版）》2003年第2期151-155,共5页Journal of Chongqing University

摘　　要：虽然关于排队系统已有很多文章 ,但是 ,讨论忙期的文章却很少。 1977年文献 [3]讨论了排队系统GI M nk阶繁忙期的分布 ;1993年文献 [4 ]考虑排队系统M M ·的忙期 ,给出了k阶繁忙期的均值和忙期的数学期望。 1993年文献 [5 ]给出了排队系统M M n和Geo Geo n的k阶繁忙期的分布和前两阶矩。这里给出排队系统MThere are many papers on the queueing, but few deals with busy period. In 1997,the paper discussed the distribution of K order very busy period for queueing system Gi/M/ n . In 1993,the paper considered the busyperiod of queueing system M/M/·,and gave the mean of K order busy period and the expectation of the busy period. In 1993,the paper gave the distribution and the first two order moments of K order very busy period on queueing systems M/M/ n and Geo/Geo/ n . This paper gives LST and the first two order moments of the busy period of queueing system M/M/·.

关 键 词：M/M/·排队系统 忙期 κ阶忙期 K阶繁忙期 排队论 数学期望 

分 类 号：O226[理学—运筹学与控制论]