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多服务台排队系统的组装策略
引用本文:徐秀丽,马占友,刘沼辛,田乃硕.多服务台排队系统的组装策略[J].应用数学学报,2007,30(2):218-227.
作者姓名:徐秀丽  马占友  刘沼辛  田乃硕
作者单位:燕山大学理学院,秦皇岛,066004
摘    要:本文讨论了(e,d)-策略多重休假的M/M/c排队,这是—个M/M/c-e和M/M/c排队的“组装”策略,为系统设计提供更大的灵活性.使用拟生灭过程方法,给出了稳态队长分布.进一步地,利用条件Erlang分布的一些有趣的性质,给出了等待时间分布的简洁表达式.最后,得到稳态指标的条件随机分解结果.

关 键 词:多重休假  (e  d)-策略  拟生灭过程  矩阵几何解  条件随机分解
修稿时间:2005-01-112007-01-19

Assembly Policy of Multi-server Queueing System
XU XIULI,MA ZHANYOU,LIU MINGXIN,TIAN NAISHUO.Assembly Policy of Multi-server Queueing System[J].Acta Mathematicae Applicatae Sinica,2007,30(2):218-227.
Authors:XU XIULI  MA ZHANYOU  LIU MINGXIN  TIAN NAISHUO
Institution:The College of Science, Yanshan University, Qinhuangdao 066004
Abstract:In this paper,we discuss the M/M/c queue with(e,d)-policy and multiple va- cation,this is an assembly policy between M/M/c-e queue and M/M/c queue,which provide more flexibility for system design.Using quasi birth-death process method,we obtain the stationary probability distribution of queue length.Furthermore,we gain the explicit ex- pression of waiting time distribution based on some interesting properties of conditional Erlang distribution.Finally,we get conditional stochastic decomposition results of station- ary indices.
Keywords:multiple vacation  (e  d)-policy  quasi birth-death process  matrix-geometric method  conditional stochastic decomposition
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