Petri Net Modelling

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

Chapter Chapter 33 in Reliability Assessment of Safety and Production Systems, 2021, pp 587-660 from Springer

Abstract: Abstract The Petri net approach provides a powerful alternative when Boolean models/Markov graphs are no longer tractable due to the dynamic aspects/state number. Developed for automaton design purposes, it has been used in the dependability field since the early eighties as a Markov graph generator and, later on, as a Monte Carlo simulation support. Belonging to the state-transition models and based on graphic representation, PNs are easy to build and understand. After a description of the basic PNs, extensions are proposed (e.g. inhibitor arcs, predicates, assertions, memory, suspended events, priority). The modelling powerfulness is virtually endless. Associated with the huge computation speed nowadays available, this copes very well with Monte Carlo simulation. Clues to speed up the calculations are proposed. Techniques encompassing maintenance, spare part or common cause failure modelling are described. Calculations related to classical dependability (e.g. reliability, availability, frequency) and production availability are presented. Result accuracy and data uncertainty handling are analysed. PN modularization is explained and models based on reliability block diagrams, fault trees or flow diagrams (RBDs, FTs or FD-driven PNs/dynamic RBDs or FTs) are introduced: they provide the basis for designing user-friendly software interfaces. Considerations are given about coloured PNs. Exercises are provided in Chap. 34 .

Date: 2021
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DOI: 10.1007/978-3-030-64708-7_33

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