Numerically efficient computation of the survival signature for the reliability analysis of large networks

Behrensdorf, Jasper; Regenhardt, Tobias-Emanuel; Broggi, Matteo; Beer, Michael

doi:10.1016/j.ress.2021.107935

Cited by 33 publications

(20 citation statements)

References 19 publications

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“…We consider the topological model of the electricity transmission network of Great Britain shown in The network survival signature is an array with dimension 6 × 25, and its exact, analytical, computation is provided in [10]. To determine the structure function for the network, the efficiency metric defined in [20], is used:…”

Section: The Electricity Transmission Network Of Great Britainmentioning

confidence: 99%

“…The failure of a node (i.e., component) is modeled by its removal from the network and, as the number of removed nodes increases, the network undergoes the transition from being connected to being disconnected. Nevertheless, the computational cost related to MCS remains too high when dealing with large numbers of non-trivial network configurations, especially when the number of components and component types that make up the complex system increases [10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures

Maio

Pettorossi

Zio

2023

Reliability Engineering & System Safety

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Section: The Electricity Transmission Network Of Great Britainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures

Maio

Pettorossi

Zio

2023

Reliability Engineering & System Safety

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“…It should be mentioned that an algorithm for computing the exact values of survival signature of a single-phase mission system with moderate size has been given in Reed. 48 Behrensdorf et al 49 also presented a new method to approximate the survival signature of single-phase mission systems with arbitrary structures. The survival signature in the examples of Section 5 are computed manually.…”

Section: Proof See Appendix Bmentioning

confidence: 99%

Reliability assessment of phased mission systems with ternary components

Bidarmaghz

Zarezadeh

2022

Proceedings of the Institution of Mechanical Engineers, Part O:

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Phased mission systems (PMSs) appear in many areas of science and technology. A PMS accomplishes its mission in multiple non-overlapping consecutive phases. The system may perform different tasks in the phases under different success criteria, configurations, and environmental situations. In this article, we consider a PMS with components having three states: complete performance, partial performance, and complete failure. The reliability of the system is explored under two different scenarios. The first case is about the PMS with similar components in the phases and the latter one is on the PMS which may have multiple types of components in the phases. To this, in each case, a new version of survival signature is defined for the system which depends only on the system structure and is free of the random mechanism of components failure. Then, under these circumstances, some compact expressions are given for the PMS reliability in which the structure of PMS is separated from the reliability functions of the components. The results are generalized to the PMSs with multi-state components. Some examples and a real practical system are given to illustrate the proposed models.

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“…Several related concepts have also been discussed in the literature; for example, minimal/maximal signature [19], dynamic signature [24], joint signature [20] and ordered system signature [2] are some important ones among them. Survival signature, as a generalization of the system signature, was originally proposed by Coolen and Coolen-Maturi [5] for the survival of systems with multiple types of components, and are now widely used for studying many practical systems like large complex networks [3]. A similar concept, called joint survival signature, has been presented recently by Coolen-Maturi et al [6] for coherent systems with shared components.…”

Section: Introductionmentioning

confidence: 99%

Equivalency of multi-state survival signatures of multi-state systems of different sizes and its use in the comparison of systems

Yi¹,

Li²

2022

Prob. Eng. Inf. Sci.

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In this paper, the multi-state survival signature is first redefined for multi-state coherent or mixed systems with independent and identically distributed (i.i.d.) multi-state components. With the assumption of independence of component lifetimes at different state levels, transformation formulas of multi-state survival signatures of different sizes are established through the use of equivalent systems and a generalized triangle rule for order statistics from several independent and non-identical distributions. The results obtained facilitate stochastic comparisons of multi-state coherent or mixed systems with different numbers of i.i.d. multi-state components. Specific examples are finally presented to illustrate the transformation formulas established here, and also their use in comparing systems of different sizes.

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Numerically efficient computation of the survival signature for the reliability analysis of large networks

Cited by 33 publications

References 19 publications

Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures

Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures

Reliability assessment of phased mission systems with ternary components

Equivalency of multi-state survival signatures of multi-state systems of different sizes and its use in the comparison of systems

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