Analysis of minimal path and cut vectors in multistate monotone systems and use it for detection of binary type multistate monotone systems

Paweł Marcin Kozyra

Journal of Risk and Reliability, 2020, vol. 234, issue 5, 686-695

Abstract: Theorem specifying how all minimal cut (path) vectors to level j can be obtained from all minimal path (cut) vectors to level j in any multistate monotone system is proven. Characterizations of binary type multistate monotone systems and binary type multistate strongly coherent systems by minimal cut and path vectors and corresponding to them, binary type cut and path sets are also demonstrated.

Keywords: Minimal cut vector; minimal path vector; minimal cut set; minimal path set; multistate monotone system; binary type multistate monotone system; binary type multistate strongly coherent system (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:234:y:2020:i:5:p:686-695

DOI: 10.1177/1748006X20922083

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