Redundancy optimization for multi-state systems under repair policies

摘要

In the redundancy optimization problem, the design goal is achieved by discrete choices made from elements available on the market. In this paper, the problem is to find, under availability constraints, the minimal cost configuration of a multi-state series-parallel system which is subject to a specified repair policy. The number of repair teams is less than the number of reparable elements, and a repair policy specifies the maintenance priorities between the system elements. To take into account the dependencies resulting from the sharing of maintenance teams, the universal generating function approach is coupled with a Markovian model. The resulting approach has the advantage of being purely analytical.