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Title: Binary integer programming solution for troubleshooting with dependent actions (English)
Author: Lín, Václav
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 53
Issue: 3
Year: 2017
Pages: 493-512
Summary lang: English
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Category: math
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Summary: We deal with a sequencing problem that arises when there are multiple repair actions available to fix a broken man-made system and the true cause of the system failure is uncertain. The system is formally described by a probabilistic model, and it is to be repaired by a sequence of troubleshooting actions designed to identify the cause of the malfunction and fix the system. The task is to find a course of repair with minimal expected cost. We propose a binary integer programming formulation for the problem. This can be used to solve the problem directly or to compute lower bounds of the minimal expected cost using linear programming relaxation. We also present three greedy algorithms for computing initial feasible solutions. (English)
Keyword: binary integer programming
Keyword: decision-theoretic troubleshooting
MSC: 90B25
MSC: 90C10
MSC: 90C90
idZBL: Zbl 06819620
idMR: MR3684682
DOI: 10.14736/kyb-2017-3-0493
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Date available: 2017-11-12T09:45:08Z
Last updated: 2018-01-10
Stable URL: http://hdl.handle.net/10338.dmlcz/146939
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