Journal
RELIABILITY ENGINEERING & SYSTEM SAFETY
Volume 91, Issue 9, Pages 1057-1070Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.ress.2005.11.040
Keywords
constrained optimization; MOEA; multiple-objective optimization; redundancy allocation and reliability optimization
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This paper illustrates the use of multi-objective optimization to solve three types of reliability optimization problems: to find the optimal number of redundant components, find the reliability of components, and determine both their redundancy and reliability. In general, these problems have been formulated as single objective mixed-integer non-linear programming problems with one or several constraints and solved by using mathematical programming techniques or special heuristics. In this work, these problems are reformulated as multiple-objective problems (MOP) and then solved by using a second-generation Multiple-Objective Evolutionary Algorithm (MOEA) that allows handling constraints. The MOEA used in this paper (NSGA-II) demonstrates the ability to identify a set of optimal solutions (Pareto front), which provides the Decision Maker with a complete picture of the optimal solution space. Finally, the advantages of both MOP and MOEA approaches are illustrated by solving four redundancy problems taken from the literature. (C) 2005 Elsevier Ltd. All rights reserved.
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