摘要
本文研究了具有位相型休假、位相型启动和单重几何休假的离散时间排队,假定 顾客到达间隔服从一般分布,服务时间服从几何分布,运用矩阵解析方法我们得到了这 些排队系统中顾客在到达时刻稳态队长分布及其随机分解.
In this paper the discrete-time queue with phase-type vacation, phase-type set-up time and single geometric vacation are studied. Suppose that the interarrival times of customers follow general distributions and service times of customers follow geometric distributions, the stationary queue length distributions at arrival times and stochastic decompositions of queue length in the three queueing systems are obtained by using matrix analysis method.
出处
《系统科学与数学》
CSCD
北大核心
2004年第2期155-162,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金青年基金(10201004)资助课题.
关键词
离散时间排队
位相型分布
休假时间
随机分解
Discrete-time queue, phase-type distribution, vacation time, stochastic de composition.
