Multi-objective problem optimization of redundancy allocation and reliability in series-parallel multi-state systems
Volume 7, Issue 3, Autumn 2017, Pages 176-185
hiva farughi, zahra solgi
Abstract This paper examines the issue of reliability and multi-objective redundancy allocation for series-parallel multi-state systems. Therefore, a suitable mathematical model is proposed in order to maximize the accessibility of the system and minimize the relevant design costs by considering the budget constraints and the physical weight of the system. In order to estimate the accessibility of a multi-state system, the general generator function method has been used, which is an efficient method for calculating the reliability and accessibility of multi-state systems. After solving the mathematical model by the Epsilon constraint method, in order to simultaneously optimize the two objective functions and generate partial solutions of the mathematical model of the problem on a larger scale, the second version of the genetic metaheuristic algorithm with unfavorable sorting has been developed. Finally, to evaluate the performance of the proposed solution algorithm, a number of sample problems in different dimensions have been generated and solved. The results of the meta-heuristic algorithm are compared with the results obtained from solving the mathematical model by the Epsilon constraint method by t-test, which indicates the efficiency of the proposed solution algorithm.