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带启动期的Geo/Geo/1/SWV排队系统
  • 期刊名称：运筹与管理, 17:4(2008), 72-78.
  • 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：国家自然科学基金资助项目（10671170）
  • 相关项目：工作休假排队系统的理论、方法及应用
关键词： 运筹学, 离散时间排队, 启动期, 单重工作休假, 拟生灭链, 矩阵几何解, operational research, discrete time queue, start-up time, single working vacation, quasi birth anddeath chain, matrix-geometric solution method.
中文摘要：

考虑带启动期的Geo／Geo／1单重工作休假排队系统，简记为Geo／Geo／1／SWV。服务台在休假期间，不是立即停止服务，而是以较低的服务率为顾客提供服务。应用拟生灭链以及矩阵几何解的方法，本文给出了稳态下顾客数的概率分布、平均队长以及顾客的平均逗留时间，最后通过数值例子说明我们的模型可以较好的模拟一些实际问题。

英文摘要：

We consider a discrete time Geo/Geo/1 queue with a start-up time and single working vacation, in short, Geo/Geo/1/SWV. The server works at a lower rate rather than completely stops service during the vacation time. Using quasi birth and death chain and matrix-geometric solution method, we obtain the distribution of the number of customers in the system, the average number of the customers and the average sojourn time of a customer in the stationary state. Finally, using some numerical examples, we verify that our model can represent some practical problems reasonably well.

同期刊论文项目
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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