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M/G/1一般减量服务单重休假排队系统的随机分解
引用本文:程应松,杨卫国,朱翼隽,廖果平. M/G/1一般减量服务单重休假排队系统的随机分解[J]. 运筹学学报, 2007, 11(2): 91-98
作者姓名:程应松  杨卫国  朱翼隽  廖果平
作者单位:1. 江苏大学理学院,镇江,212013;南京财经大学应用数学系,南京,210003
2. 江苏大学理学院,镇江,212013
3. 江苏工业学院工商管理系,常州,213164
摘    要:本文讨论了M/G/1型一般减量服务单重休假排队模型,运用结构分析法得到稳态队长和服务时间的随机分解的母函数和拉式变换,并给出稳态分布成立的条件及其概率含义.

关 键 词:运筹学  休假排队  结构分析法  随机分解  单重独立休假策略
修稿时间:2005-10-08

A M/G/1 Type Queue with Single-Vacation and Generally-Decreased Service
Cheng Yingsong,Yang Weiguo,Zhu Yijun,Liao Guoping. A M/G/1 Type Queue with Single-Vacation and Generally-Decreased Service[J]. OR Transactions, 2007, 11(2): 91-98
Authors:Cheng Yingsong  Yang Weiguo  Zhu Yijun  Liao Guoping
Affiliation:1.College of Science, Jiangsu University, Zhenjiang 212013, China;2.Department of Applied Mathematics, Nanjing University ofFinance and Conomics, Nanjing 210003, China;3.Department of Business Administration, Jiangsu PolytechnicUniversity, Changzhou 213164, China
Abstract:In this paper a queue of M/G/1 type with single vacation and generally- decreased service is discussed.Based on the structure of stochastic decomposition of a M/G/1 type vacation queue with nonexhaustive service,the stochastic decomposition of queue-length with G.F.P and waiting time with L.S.T on the steady state is obtained with a simplified method,at the same time,the equilibrium condition with its probability meaning is also acquired.
Keywords:Operations research  queue with vacation  stochastic decomposition  structure-analysis methods  independent single-vocation policy
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