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第二次服务可选的单重休假离散排队系统
  • ISSN号：1001-988X
  • 期刊名称：《西北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O226[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]燕山大学理学院,河北秦皇岛066004
  • 相关基金：国家自然科学基资助项目（10671170）
作者： 田乃硕[1], 赵媛[1], 原小娟[1]
关键词： 离散时间排队, 广义服务时间, 第二次可选服务, 单重休假, 随机分解, discrete-time queues, broad sense service time, second optional service, single vacation, stochastic decomposition
中文摘要：

在经典Geom/G/1排队系统中引入第二次服务可选和单重休假的排队规则,建立并详细描述了第二次服务可选的单重休假Geom/G/1排队系统.通过引入广义服务时间,应用嵌入马尔可夫链的方法研究得出了该模型顾客离去时刻的稳态队长和等待时间的母函数及其随机分解结果.通过模型的一个特例验证了结果的正确性.

英文摘要：

Second optional service and single vacation policy are introduced in the classical Geom/G/1 queue system,the queue model is described detailedly.By introducing broad sense service time and using the method of imbedded Markov chains,the PGF and the stochastic decomposition of the steady state queue length and waiting time are obtained.In the end,one particular model is given to further verify the correctness of the model.

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期刊信息
  • 《西北师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教育厅
  • 主办单位:西北师范大学
  • 主编：俞诗源
  • 地址：兰州市安宁东路967号
  • 邮编：730070
  • 邮箱：sdxbz@nwnu.edu.cn
  • 电话：0931-7971692
  • 国际标准刊号：ISSN：1001-988X
  • 国内统一刊号：ISSN：62-1087/N
  • 邮发代号:54-53
  • 获奖情况:
  • 第二届全国优秀科技期刊三等奖,全国优秀高校自然科学学报及教育部优秀期刊二等奖,全国高等学校自然科学学报系统优秀学报一等奖
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  • 被引量:7823