Abstract
Evaluating the network reliability is an important topic in the planning, designing, and control of systems. It is always desirable simultaneously to maximize network reliability and minimize resource consumption, e.g., the total cost [i.e., the multi-objective network reliability problem (MONR)]. In this study, we first construct the network reliability function using the formulations for simple networks and the MCS-RSM (the Monte-Carlo simulation & the response surface methodology) for complex networks of which the exact reliability functions are very difficult to find. Then, an intuitive interactive algorithm is developed using the augmented max-min method to solve the MONR based on a nonfuzzy nonlinear programming model. The feasibility of the proposed method by means of two numerical examples has been demonstrated.