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Fuzzy global optimization of complex system reliability
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DOI：10.1109/91.855914.png)
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Abstract
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In this paper, the problem of optimizing the reliability of complex systems has been modeled as a fuzzy multi-objective optimization problem where apart from the system reliability, system cost, weight, and volume are all considered as fuzzy goals/objectives. Three different kinds of optimization problems: 1) reliability optimization of a complex system with constraints on cost and weight; 2) optimal redundancy allocation In a multistage mixed system with constraints on cost and weight; and 3) optimal reliability allocation in a multistage mixed system with constraints on cost, weight, and volume have been solved. Four numerical examples have been solved to demonstrate the effectiveness of the present methodology. The influence of various kinds of aggregators such as: 1) product operator; 2) min operator; 3) the arithmetic mean operator; 4) fuzzy and 5) a convex combination of the min and the max operators; and 6) compensatory and (gamma-operator) on the quality of the solutions is also studied. The inefficiency of the noncompensatory min operator has been demonstrated. One of the well-known global optimization meta-heuristics-threshold accepting-has been invoked to take care of the optimization part of the model because it is a variant of the simulated annealing algorithm and, hence, can tackle the nonconvex optimization problems very well, unlike the modified steepest-ascent method [6], [8], Linear membership functions have been assumed for the all the goals/objectives, A software has been developed to implement the above model. The results are encouraging because in the case of some problems investigated here they coincided with those yielded in the crisp single-objective environment, Also, fuzzy optimization techniques can be used as viable and useful alternatives to the goal programming approaches for this kind of problems posed in an ill-structured environment.
Keywords:
complex systems
multi-objective optimization
optimal redundancy allocation
Pareto optimal solution
reliability
fuzzy optimization
threshold accepting algorithm
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