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A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems

Author

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  • Aggarwal Sudhanshu

    (Indian National Science Academy, Bahadur, Sha Zafar Marg, New Delhi-110002, India)

  • Agarwal Manju
  • Gupta Rashika

    (Department of Operational Research, University of Delhi, Delhi-110007, India)

Abstract

This paper proposes an efficient heuristic approach to solving the constrained redundancy optimization problem in multi-state systems (MSS) with multi-state components using minimal path vectors. A discrete multi-state model is considered, where the system state depends on the discipline of the elements' interaction in the system. When the multi-state nature of the system is considered, exact solution methodologies e.g. Dynamic, Integer Programming are no longer valid. The proposed heuristic offers an efficient and straightforward analysis. To illustrate the simplicity and ease of the application of the algorithm, solutions of a flow network problem with linear constraint and, bridge structure with linear as well as nonlinear constraints are obtained. The results would be applicable to multi-state design problems in real life.

Suggested Citation

  • Aggarwal Sudhanshu & Agarwal Manju & Gupta Rashika, 2007. "A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems," Stochastics and Quality Control, De Gruyter, vol. 22(2), pages 247-260, January.
    • Handle: RePEc:bpj:ecqcon:v:22:y:2007:i:2:p:247-260:n:8
    DOI: 10.1515/EQC.2007.247
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    Cited by:

    1. Li, Chun-yang & Chen, Xun & Yi, Xiao-shan & Tao, Jun-yong, 2010. "Heterogeneous redundancy optimization for multi-state series–parallel systems subject to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 202-207.

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