Optimal reliability allocation of redundant units and repair facilities by arbitrary failure and repair distributions

In this paper we solve three reliability optimization problems for repairable systems with arbitrary distributed times to unit failure and to unit repair. By solving the problems, we find the allocation of redundant units and repairmen. The optimized systems contain the k-out-of-n or cold standby seriesly connected subsystems. The numerical examples illustrate the presented approach for solving the problems.