摘要
研究了离散时间多服务台排队系统 ,假定顾客到达过程为离散马尔可夫到达过程 ,系统中有 c个不相同的服务台 ,每个服务台对顾客的服务时间均服从离散位相型 ( PH)分布 .运用矩阵几何解理论 ,得到了系统的稳态队长分布 ,同时也给出了到达顾客所见队长和平均等待时间 .
A discrete-time queueing system with multi-server is studied. It is assumed that the arrival process of customers is a discrete Markovian arrival process, and there are c different servers in the system and the service times of each server follow phase type distributions. By using the theory of matrix-geometric solution, the stationary queue length distribution are obtained. Meanwhile, the stationary distribution of queue length seen by an arriving customer and the mean waiting time are given.
出处
《郑州大学学报（自然科学版）》
CAS
2001年第3期28-32,共5页
Journal of Zhengzhou University (Natural Science)
基金
国家自然科学基金资助项目 ( 195 710 5 5 )
