| 多源点多汇点网络系统可靠度的解析表示 |
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| 引用本文： | 张国志,张伟.多源点多汇点网络系统可靠度的解析表示[J].数学理论与应用,2010(3):47-52. |
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| 作者姓名： | 张国志 张伟 |
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| 作者单位： | 哈尔滨理工大学应用科学学院,哈尔滨150080 |
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| 基金项目： | 黑龙江省教育厅资助项目 |
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| 摘 要： | 本文研究了基于最小路径描述的多源点多汇点网络系统可靠性问题。定义了最小路径矩阵的几种运算,利用所定义的运算,将多源点多汇点网络系统转化为等价的单源点单汇点网络系统,并给出了由子系统可靠度精确表示网络系统可靠度的解析表达式。这种解析表达是非常重要的,它是系统可靠性的理论研究与实际应用的一个极为有效的工具。
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| 关 键 词： | 网络系统 最小路径 源点 汇点 可靠度 |
Analytic Expression of Reliability for a Muli - soure - sink - node Network System |
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| Zhang Guozbi Zhang Wei.Analytic Expression of Reliability for a Muli - soure - sink - node Network System[J].Mathematical Theory and Applications,2010(3):47-52. |
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| Authors: | Zhang Guozbi Zhang Wei |
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| Institution: | Zhang Guozbi Zhang Wei ( Harbin University of Science and Technology, Harbin, 150080) |
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| Abstract: | In this paper, The problems about reliability for network systems which have many soure node and sink node are studied. Minimal path matrix are defined. Based on the special vector operations defined in this paper, reliability of the systems can be expressed exactly by those of subsystems, and the algorithm is given. The analytic expressions is very important and is a efficent tool for researching problems about reliability of the systems. |
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| Keywords: | Network systems Minimal path Source node Sink node Reliability |
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