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The reliability of a complex system was optimized by a new approach for implementing the sequential unconstrained minimization technique (SUMT) with the aid of Hooke and Jeeves pattern search and heuristic programming. Two optimization problems were considered. In the first, the system reliability was maximized subject to a nonlinear weight constraint. In the second, the weight of the system was minimized without violating the requirements of the minimal system reliability and the minimum reliability for each component. The sensitivities of the system reliability and that of the system weight to the reliability of each component were determined under optimal conditions.

Optimal reliability of system with nonlinear constraints, using mathematical model and sequential unconstrained minimization technique

Integer programming method for optimizing constrained reliability problems with several system failure modes

Reliability maximization computational procedure for multistage parallel systems subject to multiple nonlinear constraints

Optimum redundancy of multistage parallel systems using variational technique to maximize profit

Constrained reliability optimization problems solution by integer programming noting parallel redundancy systems, formulation for standby redundant units and cost minimization

Production scheduling optimization by using discrete form of Pontryagin maximum principle