Probabilistic Calculations of Elementary Boolean Models

Jean-Pierre Signoret () and Alain Leroy ()
Additional contact information
Jean-Pierre Signoret: Total Professeurs Associés

Chapter Chapter 19 in Reliability Assessment of Safety and Production Systems, 2021, pp 245-255 from Springer

Abstract: Abstract This chapter introduces the basic probabilistic calculation framework shared by the dual reliability block diagram (RBD) and fault tree (FT) approaches. Elementary RBD structures (series and parallel) and FT logic gates (OR, AND) are considered first. Then they are combined in order to build realistic models of industrial systems. This is extended to the use of NOT, NOR and NAND gates with primary events and to the majority vote operators. Finally, the Sylvester-Poincaré formula is established: it allows to calculate the probability of a system failure from its minimal cut sets and has been, for decades, the only available way to proceed to probabilistic calculations with RBDs or FTs. It is still widely used, even if it is now superseded by calculations based on the implementation of the binary decision diagrams described in Chap. 21 .

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-030-64708-7_19

Ordering information: This item can be ordered from
http://www.springer.com/9783030647087

DOI: 10.1007/978-3-030-64708-7_19

Access Statistics for this chapter

More chapters in Springer Series in Reliability Engineering from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().