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Coherent System Structures

In: Introduction to System Reliability Theory

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  • Jorge Navarro

    (Universidad de Murcia, Facultad de Matematicas)

Abstract

In this chapter we study the basic properties of the main concept in the Reliability Theory: the coherent system structures. In the first section we give the formal definitions of coherent and semi-coherent (binary) system structures, providing several examples. We do not study non-coherent systems here. We refer the interested readers in that systems to Borgonovo (2010), Imakhlaf et al. (2017) and the references therein. The main properties of coherent systems are given in the second section, including several representations for the structure function of the system. Relationships with simple games, connectivity properties of networks and mixed systems are studied in the third section. The fourth section contains some results for multi-state systems with binary components. The components’ importance indices are not studied here. Some of them are studied in Chap. 5 . In a first reading, Sects. 1.3 and 1.4 can be skipped (if you want).

Suggested Citation

  • Jorge Navarro, 2022. "Coherent System Structures," Springer Books, in: Introduction to System Reliability Theory, chapter 0, pages 1-21, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-86953-3_1
    DOI: 10.1007/978-3-030-86953-3_1
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