Abstract
This paper considers the problem of maximizing system reliability subject to resource constraints. To increase the reliability of a system one either uses more reliable components or provides back-up units, or both. The problem is considered within the framework of determining the optimum number of components and the optimum component reliabilities so as to maximize system reliability. The resulting problem, called the integrated reliability optimization problem, may be classified as corresponding to a mixed integer nonlinear mathematical programming model. The integrated reliability optimization problem, as mathematically formulated, is transformed into a model that is more amenable to existing solution techniques. It is shown that the solution of the transformed model is equivalent to the solution of the original. model. Two integrated reliability optimization models are transformed and solved using Powell's optimization algorithm. Numerical results indicate that the solution of the integrated reliability optimization problem may be accomplished quite effectively with this solution algorithm.
Published Version
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