Optimal design of system reliability using interval programming and genetic algorithms

In this paper, we examine the optimal design problem of system reliability with uncertain coefficients and formulate it as an interval programming model. Genetic algorithms are applied to the problem. The basic idea of the proposed method is first to transform the interval programming model into an equivalent bicriteria programming model and then to find the Pareto solutions of the bicriteria programming problem using genetic algorithms. Numerical examples are given to demonstrate the efficiency of the proposed approach.