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Introduction to Dynamic Systems and Stochastic Processes

In: Reliability Assessment of Safety and Production Systems

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  • Jean-Pierre Signoret

    (Total Professeurs Associés)

  • Alain Leroy

Abstract

This chapter is the introduction to the part of the book devoted to dynamic systems. It describes the specific problems linked to operation, production, maintenance or spare parts provisioning encountered and introduces the stochastic processes which provide the mathematical framework for modelling them and properly achieving probabilistic calculations. It explains why the simple reliability block diagrams are superseded by the flow diagrams when production systems are considered. It describes how the various dynamic approaches (Markov graphs, Petri nets and Monte Carlo simulation) relate to the corpus of methods and tools available within the safety and dependability field. And finally, it provides a typology of dynamic systems intended to help the analyst to choose the relevant approaches.

Suggested Citation

  • Jean-Pierre Signoret & Alain Leroy, 2021. "Introduction to Dynamic Systems and Stochastic Processes," Springer Series in Reliability Engineering, in: Reliability Assessment of Safety and Production Systems, chapter 0, pages 457-470, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-64708-7_30
    DOI: 10.1007/978-3-030-64708-7_30
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