Reliability optimization of multi-state weighted k-out-of-n systems by fuzzy mathematical programming and genetic algorithm

被引：10
作者：
Ebrahimipur V. [1 ]
Qurayshi S.F. [1 ]
Shabani A. [1 ]
Maleki-Shoja B. [1 ]
机构：
[1] Department of Industrial Engineering, University College of Engineering, University of Tehran, Tehran
来源：
International Journal of System Assurance Engineering and Management | 2011年 / 2卷 / 4期
关键词：
Fuzzy mathematical programming; Genetic algorithm; Multi-state weighted K-out-of-N; Reliability optimization;
D O I：
10.1007/s13198-012-0084-y
中图分类号：
学科分类号：
摘要：
This paper proposes two fuzzy mathematical models for reliability optimization of multi-state weighted k-out-of-n systems. The optimizing problems are treated as finding the minimal cost and maximal reliability system structures subjected to the fuzzy reliability requirement and the fuzzy cost available. In this approach, we consider fuzzy constraint for reliability that enables us to apply different weights for the fuzzy constraint and the objective function with their importance factors. Universal generating function technique is employed for computing the system reliability based on the fuzzy mathematical model. And then, genetic algorithm is used as the efficient optimization tool to facilitate the approach in finding optimum solutions for reliability-cost objective function at combinatorial and NP-hard applications. Finally, a numerical example is illustrated for demonstrating the flexibility and effectiveness of the proposed fuzzy mathematical programming approach. © 2012 The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.
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收藏
页码：312 / 318
页数：6
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