A new method for redundancy optimisation problem with fuzzy random lifetime

In this paper, a redundancy optimisation problem, in which element lifetimes are fuzzy random variables (FRVs), is formulated by using fuzzy stochastic programming model. Subsequently, a new method is developed to solve the model based on the concepts of mean value of FRVs, chance‐constrained programming and binary integer programming. Furthermore, an illustrative numerical example is also solved to clarify the methods discussed in this paper and major types of system performance are investigated.