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Minimal path set importance in complex systems

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  • Sudhanshu Aggarwal

Abstract

To find the best mode for system design in reliability optimization, risk engineers around the world use the importance measure as a basic tool. This paper introduces a new importance measure taking into account minimal path sets of the system. It helps to optimize the system designs that occur in many situations. For instance, this importance measure can be used (a) in identifying important components of any complex system and (b) solving constrained redundancy optimization problems. This is illustrated by providing two heuristic algorithms. In the first algorithm, this measure is used to find important components of any complex system ensuring improved system reliability. The second algorithm is used to solve a constrained redundancy optimization problem for any general coherent system giving (near) optimal solutions in 1-neighborhood. The results show that the new importance measure is easily applicable, unlike the classical ones. Hence, it serves as a very useful tool in measuring the important component(s) and solving constrained redundancy optimization problems of complex systems. Thus, it can be considered as a good alternative to the existing importance measures.

Suggested Citation

  • Sudhanshu Aggarwal, 2021. "Minimal path set importance in complex systems," Journal of Risk and Reliability, , vol. 235(2), pages 201-208, April.
    • Handle: RePEc:sae:risrel:v:235:y:2021:i:2:p:201-208
    DOI: 10.1177/1748006X20962668
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    References listed on IDEAS

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    1. Michele Compare & Michele Bellora & Enrico Zio, 2017. "Aggregation of importance measures for decision making in reliability engineering," Post-Print hal-01652234, HAL.
    2. Aliee, Hananeh & Borgonovo, Emanuele & Glaß, Michael & Teich, Jürgen, 2017. "On the Boolean extension of the Birnbaum importance to non-coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 191-200.
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    4. Borgonovo, E., 2007. "Differential, criticality and Birnbaum importance measures: An application to basic event, groups and SSCs in event trees and binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1458-1467.
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