摘要
讨论到达率依赖于当前系统中顾客数的M(n)/M/1多重工作休假排队.首先对排队模型用无限位相GI/M/1型Markov过程建模.其次通过用矩阵解析方法对所得过程求解,得到了排队系统平稳状态相关指标的结果.
This paper analyzes an M(n)/M/1 queueing model with multiple working vacations and state-dependent arrival rate.The queueing system investigated can be described by a special GI/M/1 type Markov process with both inˉnite levels and phases.By analyzing the Markov process with matrix analytic method,related expressions of stationary indices for the queueing model are given.
作者
张宏波
王茜
ZHANG Hongbo;WANG Xi(School of Mathematics and Statistics,Henan Fiance University,Zhengzhou 450046,China;Department of Basic Research,Henan University of Animal Husbandry and Economy,Zhengzhou 450000,China)
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2018年第1期52-58,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
河南省科技攻关计划(172102210242)
河南省高等学校青年骨干教师资助项目(2014GGJS-136)
河南省高等学校重点科研项目(16A110002)
