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带有止步的成批到达的M~x/M/1/N多重工作休假排队系统
  • ISSN号：1007-791X
  • 期刊名称：《燕山大学学报》
  • 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 燕山大学里仁学院
  • 相关基金：国家自然科学基金资助项目(10671170)
作者： 赵晓华[1], 樊剑武[1], 田乃硕[1]
关键词： 多重工作休假, 止步, 矩阵解法, 稳态概率, 性能指标, multiple working vacations, balking, matrix solution method, steady-state probability, performance measures
中文摘要：

研究了带有止步的M~x/M/1/N多重工作休假排队系统。顾客成批到达,到达后每批中的顾客,或者以概率决定进入队列等待服务,或者以概率1止步。系统中一旦没有顾客,服务员立即进入多重工作休假。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的平均止步率等性能指标。

英文摘要：

An M~x/M/1/N queuing system was considered with balking and multiple working vacations. Customers arrive in batch and each arriving customer either decides to enter the queue with a probabilityor balk with a probability. The server takes multiple working vacations immediately when it becomes idle at a service completion instant. The matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as th...

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工作休假排队系统的理论、方法及应用
期刊论文 85 会议论文 23 著作 2
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期刊信息
  • 《燕山大学学报》
  • 北大核心期刊（2014版）
  • 主管单位:河北省教育厅
  • 主办单位:燕山大学
  • 主编：张福成
  • 地址：河北省秦皇岛市燕山大学期刊社
  • 邮编：066004
  • 邮箱：xuebao@ysu.edu.cn
  • 电话：0335-8057043
  • 国际标准刊号：ISSN：1007-791X
  • 国内统一刊号：ISSN：13-1219/N
  • 邮发代号:18-73
  • 获奖情况:
  • 2009年获2004-2008年度河北省教育系统优秀期刊奖
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,中国中国科技核心期刊,中国北大核心期刊（2014版）
  • 被引量:3409