Saved in:
Bibliographic Details
Main Authors: Byun, Ji-Eun, Ryu, Hyeuk, Straub, Daniel
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.22363
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866909370853359616
author Byun, Ji-Eun
Ryu, Hyeuk
Straub, Daniel
author_facet Byun, Ji-Eun
Ryu, Hyeuk
Straub, Daniel
contents Branch and bound algorithms have been developed for reliability analysis of coherent systems. They exhibit a set of advantages; in particular, they can find a computationally efficient representation of a system failure or survival event, which can be re-used when the input probability distributions change over time or when new data is available. However, existing branch-and-bound algorithms can handle only a limited set of system performance functions, mostly network connectivity and maximum flow. Furthermore, they run redundant analyses on component vector states whose system state can be inferred from previous analysis results. This study addresses these limitations by proposing branch and bound for reliability analysis of general coherent systems} (BRC) algorithm: an algorithm that automatically finds minimal representations of failure/survival events of general coherent systems. Computational efficiency is attained by dynamically inferring importance of component events from hitherto obtained results. We demonstrate advantages of the BRC method as a real-time risk management tool by application to the Eastern Massachusetts highway benchmark network.
format Preprint
id arxiv_https___arxiv_org_abs_2410_22363
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Branch-and-bound algorithm for efficient reliability analysis of general coherent systems
Byun, Ji-Eun
Ryu, Hyeuk
Straub, Daniel
Optimization and Control
Systems and Control
60-08
G.3; I.5.2
Branch and bound algorithms have been developed for reliability analysis of coherent systems. They exhibit a set of advantages; in particular, they can find a computationally efficient representation of a system failure or survival event, which can be re-used when the input probability distributions change over time or when new data is available. However, existing branch-and-bound algorithms can handle only a limited set of system performance functions, mostly network connectivity and maximum flow. Furthermore, they run redundant analyses on component vector states whose system state can be inferred from previous analysis results. This study addresses these limitations by proposing branch and bound for reliability analysis of general coherent systems} (BRC) algorithm: an algorithm that automatically finds minimal representations of failure/survival events of general coherent systems. Computational efficiency is attained by dynamically inferring importance of component events from hitherto obtained results. We demonstrate advantages of the BRC method as a real-time risk management tool by application to the Eastern Massachusetts highway benchmark network.
title Branch-and-bound algorithm for efficient reliability analysis of general coherent systems
topic Optimization and Control
Systems and Control
60-08
G.3; I.5.2
url https://arxiv.org/abs/2410.22363