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带启动时间的多级适应性休假的Geom/G/1排队
引用本文:韦才敏,田乃硕,夏尊铨,王学武.带启动时间的多级适应性休假的Geom/G/1排队[J].运筹学学报,2003,7(4):22-30.
作者姓名:韦才敏  田乃硕  夏尊铨  王学武
作者单位:1. 大连理工大学应用数学系,大连,116024
2. 燕山大学理学院,秦皇岛,066004
基金项目:The project was supported by the National Science Foundation of China (Grant No.10271 102),the State Foundations of Ph.D Units (20020141013).
摘    要:本文研究带启动时间的多级适应性Geom/G/1离散时间排队.给出稳态队长和等待时间分布的母函数及其随机分解结果,推导出忙期和全假期的母函数和均值。

关 键 词:母函数  随机分解  休假排队  启动时间

The Queue Geom/G/1 with Multiple Adaptive Vacation and Server Set-Up Time
CAIMIN WEI NAISHUO TIAN ZUNQUAN XIA XUEWU WANG.The Queue Geom/G/1 with Multiple Adaptive Vacation and Server Set-Up Time[J].OR Transactions,2003,7(4):22-30.
Authors:CAIMIN WEI NAISHUO TIAN ZUNQUAN XIA XUEWU WANG
Institution:CAIMIN WEI NAISHUO TIAN ZUNQUAN XIA XUEWU WANG Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China, The School of Science,Yanshan University,Qinhuangdao 066004,China,
Abstract:In this paper, we discuss the discrete time Geom/G/1 queue with multiple adaptive vacation and set-up time. We derive the generating functions and the stochastic decompositions results for the steady state queue length and waiting time, and also get the generating functions and expects of the busy period and the Whole vacation.
Keywords:OR  discrete-time  vacation queue  set-up time  stochastic decomposition  
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