Gauss-Legendre Quadrature Based Expected Value Simulation for Optimizing Standby Redundancy System under Uncertain Environment

Uncertainty widely exists in standby redundancy system designing, and it is of great significance for decision makers in acquiring the system with less cost but longer lifetime. This paper explicitly integrates the uncertainties from the lifetime and cost of the units and the resource limitations in cost and weight, in an expected lifetime-maximization standby redundancy system optimization problem. To deal with the associated uncertain mathematical model, we first utilize the uncertain chance c