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

In: Recent Advances in Multi-state Systems Reliability

Author

Listed:
  • Miroslav Kvassay

    (University of Zilina)

  • Elena Zaitseva

    (University of Zilina)

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.

Suggested Citation

  • Miroslav Kvassay & Elena Zaitseva, 2018. "Topological Analysis of Multi-state Systems Based on Direct Partial Logic Derivatives," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel & Alex Karagrigoriou (ed.), Recent Advances in Multi-state Systems Reliability, pages 265-281, Springer.
  • Handle: RePEc:spr:ssrchp:978-3-319-63423-4_14
    DOI: 10.1007/978-3-319-63423-4_14
    as

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