An interactive augmented max-min MCS-RSM method for the multi-objective network reliability problem

Authors:
W. C. Yeh
Affiliations:
Department of Industrial Engineering and Management Engineering, National Tsing Hua University, Taiwan
Venue:
International Journal of Systems Science
Year:
2007

Citing 3
Cited 1

Interactive fuzzy linear programming

Fuzzy Sets and Systems
The Combinatorics of Network Reliability

The Combinatorics of Network Reliability
Optimal Reliability Allocation with Discrete Cost-Reliability Data for Components

Operations Research

Review: Topological network design: A survey

Journal of Network and Computer Applications

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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 Mont-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.