International Journal of Control · 1973 · 12 citations · 11 references
EngineeringSystems EngineeringDesign OptimizationOptimizationSystems DesignOptimization Under UncertaintyRedundancy TechniquesReliabilityReliability ModelingReliability-based DesignReliable System DesignConstraintsDesign Under UncertaintyLinear ConstraintsReliability OptimizationSystem ReliabilitySystem Reliability Analysis
A system design engineer often resorts to redundancies while maximizing the probability of success of a system designed to perform a certain job over a period, This will have to be done within the resources available. The problem of maximizing system reliability, subject to some linear constraints such as cost, weight or volume, is considered in this paper- The usual problem is transformed to a suitable form and the least square concept is used to develop a solution technique. This type of approach is found to be very simple and faster than earlier methods although the solution is an approximate one.
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Mathematical Theory of Reliability
A. P. Basu, Richard E. Barlow, Frank Proschan · Econometrica · 1966 · 2.7K citations
Optimization: theory and practice
Choice Reviews Online · 2011 · 569 citations
Optimization of Systems Reliability
Liang Fan, Chiu‐Sen Wang, Frank A. Tillman et al. · IEEE Transactions on Reliability · 1967 · 156 citations
Engineering, Systems Engineering, Fault-tolerant Systems +11
David D. Morrison · SIAM Journal on Numerical Analysis · 1968 · 88 citations