| 带两类服务的一般休假M/GI/1型系统的随机分解 |
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| 引用本文： | 朱翼隽.带两类服务的一般休假M/GI/1型系统的随机分解[J].系统科学与数学,2001,21(1):023-032. |
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| 作者姓名： | 朱翼隽 |
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| 作者单位： | 江苏理工大学理学院镇江 |
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| 基金项目： | 江苏省自然科学基金和江苏省教委资助项目 |
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| 摘 要： | 借助于建立在平稳点过程和Palm分布理论基础上的强度保守原理,讨论了一个具有一般休假策略的M/GI/1型排队系统.该模型允许闲期中顾客非泊松到达且顾客的服务可以被休假中断。我们得到了稳态下工作量和顾客离去前所见队长的随机分解.
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| 关 键 词： | M/GI/1型系统 一般休假 强度保守原理 稳态指标 随机分解. |
| 修稿时间： | 1997年8月13日 |
STOCHASTIC DECOMPOSITIONS FOR M/GI/1 TYPE SYSTEM WITH TWO KINDS OF SERVICE TIMES AND GENERAL VACATION POLICY |
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| ZHU Yijun.STOCHASTIC DECOMPOSITIONS FOR M/GI/1 TYPE SYSTEM WITH TWO KINDS OF SERVICE TIMES AND GENERAL VACATION POLICY[J].Journal of Systems Science and Mathematical Sciences,2001,21(1):023-032. |
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| Authors: | ZHU Yijun |
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| Institution: | Faculty of Science, Jiangsu University of Science & Technology, Zhenjiang 212013,P.R.China |
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| Abstract: | By use of the 'Rate Conservation Law'(RCL), based on stationary point process and Palm distribution theory, this paper discussed a M/GI/1 type Queuing System with general vacation policy. The referred Model Permits customers coming in 'idle period' with non-poisson intervals, and services may be interrupted by server vacations. We get the stochas- tic decomposition formulas in steady state for the workload of the system and the queue length, seen by the customer before departure. |
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| Keywords: | M/GI/1 type system general vacation policy rate conservation law queuing quantities in steady state stochastic decomposition |
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