江苏大学学报(自然科学版)2012,Vol.33Issue(5):616-620,5.DOI:10.3969/j.issn.1671-7775.2012.05.024
带启动时间、N策略和负顾客的M/M/1工作休假排队
M/M/1 queue of working vacations with set-up time N-policy and negative customers
摘要
Abstract
The M/M/l queue of working vacations with set-up time N-policy negative customers was investigated for either "positive" or "negative" customers. The working vacation policy with N-policy and setup time is exhaustive and multiple working vocation. The negative customers only remove positive customers who are being served at the head of the queue one by one. When there is no positive customer in the system, the arrived negative customers will disappear automatically without service. Based on quasi birth and death process and matrix geometric solution, the steady state distribution for queue length was obtained. The conditional stochastic decomposition structure of the queue length and the waiting time were proved.关键词
负顾客/工作休假/启动时间/N策略/拟生灭过程/矩阵几何解/条件随机分解Key words
negative customers/working vacation/set-up time/N-policy/quasi birth and death process/matrix geometric solution/conditional stochastic decomposition分类
信息技术与安全科学引用本文复制引用
朱翼隽,刘海燕,王逢佳..带启动时间、N策略和负顾客的M/M/1工作休假排队[J].江苏大学学报(自然科学版),2012,33(5):616-620,5.基金项目
国家自然科学基金资助项目(70571030,10571076) (70571030,10571076)