Topological Analysis of Multi-state Systems Based on Direct Partial Logic Derivatives

Miroslav Kvassay () and Elena Zaitseva
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Miroslav Kvassay: University of Zilina
Elena Zaitseva: University of Zilina

A chapter in Recent Advances in Multi-state Systems Reliability, 2018, pp 265-281 from Springer

Abstract: Abstract Topological analysis deals with evaluation of influence of the system components on system operation. Such evaluation is usually performed by identification and quantification of situations in which degradation/improvement of a given system component results in system degradation/improvement. These situations can be revealed using Direct Partial Logic Derivatives (DPLDs). One of the open problems is how to compute DPLDs efficiently for large systems. In this paper, we develop a new method for their computation for systems that can be decomposed into disjoint modules. The method is based on the chain rule that is derived in this paper.

Keywords: Multi-state systems; Structure function; Topological analysis; Modular decomposition; Structural importance measures; Direct partial logic derivatives (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-319-63423-4_14

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DOI: 10.1007/978-3-319-63423-4_14

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