Analysis of link interaction regarding network failure subject to a saturated nonhomogeneous poisson process

被引：0
作者：
Du Y.-J. [1 ]
Zhang P. [2 ]
Cai Z.-Q. [2 ]
机构：
[1] School of Economics and Management, Lanzhou University of Technology, Lanzhou
[2] School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an
来源：
Kongzhi yu Juece/Control and Decision | 2024年 / 39卷 / 01期
关键词：
joint failure importance; link interaction; Monte-Carlo; network; reliability; saturated nonhomogeneous Poisson process;
D O I：
10.13195/j.kzyjc.2022.0857
中图分类号：
学科分类号：
摘要：
The communication, computer and transportation systems can all be modelled as a network composed of vertices and links. To economically and efficiently improve network reliability, the interactions of these coupled two links regarding network failure must be analyzed. Therefore, under the condition that link failures appear according to a saturated nonhomogeneous Poisson process, we propose a novel method to calculate the joint failure importance (JFI) for the two links given, which can characterize how the links interact in contributing to network failure. Specifically, based on the knowledge of combinatorial counting, the probabilities that arbitrary two links are in four different states are derived. Then, combining the joint D-spectrum for the two links, a formula to calculate the JFI is established. Theoretical analysis shows that when time t approaches zeros or infinity, the interaction effects between the two links are more and more weak. Since the exact computing for JFI is NP-hard problem, we provide a Monte-Carlo algorithm to evaluate JFI. Finally, we perform a numerical example of a road network to demonstrate the method for computing JFI. The numerical results show that proposed method for computing JFI can efficiently account for the interaction of links on network failure. © 2024 Northeast University. All rights reserved.
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页码：180 / 188
页数：8
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