江苏大学学报（自然科学版）2011，Vol.32Issue(5)：612-616,5.DOI:10.3969/j.issn.1671-7775.2011.05.023
具有部分备用服务员的M/M/e休假排队
M/M/c vacation queue with partial spare servers
摘要
Abstract
Customer arrival is Poisson process with c waiter A and d waiter B, and d is not less than 1, but less than c. When waiter A work,waiter B are spare. If waiter A are on vacation for some reasons,the spare waiter B should replace immediately. Waiter B have no vacation. The service time of waiter A and B show negative exponential distribution. Based on quasi birth and death (QBD) process and matrix geometric solution method, the steady state distribution for queue length was obtained. The conditional stochastic decomposition structures for queue length and waiting time were proved when all the servers are busy. The parent function of additional captain and Laplace transform of additional delay were obtained. The effects of the parameters on the average additional captain and the average additional delay were analyzed by numerical examples.关键词
多服务台/部分备用服务员/拟生灭过程/矩阵几何解/条件随机分解Key words
multi-server/ partial spare servers/ quasi birth and death process/ matrix geometric solution/ conditional stochatic decomposition分类
数理科学引用本文复制引用
朱翼隽,凌婷婷..具有部分备用服务员的M/M/e休假排队[J].江苏大学学报（自然科学版）,2011,32(5):612-616,5.基金项目
国家自然科学基金资助项目(70571030.10571076) （70571030.10571076）
