Abstract In this paper the reliability analysis of two new models generalizing the m -consecutive- k -out-of- n : F system is carried out using GERT: Model I: m -consecutive- k -out-of- n : F system with ( k -1)-step Markov dependence, and Model II: m -consecutive- k -out-of- n : F system with...

Abstract This paper proposes an efficient heuristic approach to solving the constrained redundancy optimization problem in multi-state systems (MSS) with multi-state components using minimal path vectors. A discrete multi-state model is considered, where the system state depends on the...

Abstract The problem of allocating optimum heterogeneous redundancy in multi-state series-parallel reliability structures is addressed in this paper. The objective is to obtain a configuration that minimizes the total cost of system design satisfying the given reliability constraint and the...