Path Tracing Method to Evaluate the Signature Reliability Function of a Complex System

Mutar, Emad Kareem

doi:10.1590/jatm.v14.1284

Cited by 9 publications

(3 citation statements)

References 30 publications

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“…Then if we have independent and identically distributed reliability of components, then we get 𝑅 𝐿𝐵 = 𝑟 2 + 𝑟 4 + 3𝑟 5 + 2𝑟 6 (25)…”

Section: Spross System Boundmentioning

confidence: 99%

“…Graphs are typically used for system definition in engineering [1][2][3]. A graph G = (V, E) where V is an empty set whose elements are referred to as "vertices" and E is a set of pairwise links between those vertices (nodes), with the probability of vertices/edges being functional [4][5][6]. In this study, we will emphasize that communication between source and sink nodes must continue despite a node or edge failure.…”

Section: Introductionmentioning

confidence: 99%

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Estimating the reliability of complex systems using various bounds methods

Mutar

2023

Int J Syst Assur Eng Manag

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Estimating terminal reliability precisely is impractical in complex systems. As a result, lower and upper bounds for two-terminal reliability as well as estimation methods have been instated. Our method for determining the lower and upper bounds of a complex system's reliability employs a listed set of minimal paths and a listed set of minimal cuts. This paper's goal is to present a modern assessment of reliability bounds for binary coherent systems, as well as a comparison of various reliability bounds in terms of subjective, mathematical, and efficiency factors. The Safety-Critical-System (SCS) uses an illustrative model to show the reliability designer when to implement certain constraints. This is done in the context of a complex system with complex connections. Simulations and numerical examples have shown that the new design generally improves Spross, Esary-Proschan, Edge-Packing, and Linear and Quadratic bounds, especially for systems that are very reliable.

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“…Then if we have independent and identically distributed reliability of components, then we get 𝑅 𝐿𝐵 = 𝑟 2 + 𝑟 4 + 3𝑟 5 + 2𝑟 6 (25)…”

Section: Spross System Boundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Estimating the reliability of complex systems using various bounds methods

Mutar

2023

Int J Syst Assur Eng Manag

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Estimating the Reliability of Complex Systems Using Various Bounds Methods

Mutar

2023

Preprint

Self Cite

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Estimating terminal reliability precisely is impractical in complex systems. As a result, lower and upper bounds for two-terminal reliability as well as estimation methods have been instated. Our method for determining the lower and upper bounds of a complex system's reliability employs a listed set of minimal paths and a listed set of minimal cuts. This paper's goal is to present a modern assessment of reliability bounds for binary coherent systems, as well as a comparison of various reliability bounds in terms of subjective, mathematical, and efficiency factors. The Safety-CriticalSystem (SCS) uses an illustrative model to show the reliability designer when to implement certain constraints. This is done in the context of a complex system with complex connections. Simulations and numerical examples have shown that the new design generally improves Spross, Esary-Proschan, EdgePacking, and Linear and Quadratic bounds, especially for systems that are very reliable.

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Evaluation of reliability and characteristics measure using exponential decay distribution of non‐series parallel network

Bisht,

Kumar,

Singh

et al. 2024

Quality & Reliability Eng

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The purpose of this paper is to analyze the reliability and characteristics of the non‐series‐parallel network. The illustrative non‐series parallel networks, that is, the Twin T‐Network and the network with six components of resistor and capacitor, have been converted into a series of parallel network combinations by use of the minimal path technique. The stochastic variables related to component failure rate have been demonstrated using exponential decay distribution. We obtain the reliability, mean time to failure, and sensitivity with the use of the exponential decay distribution. The reliability and its attributes are examined by assuming different values of scale and shape parameters at different points of time. Using Owen's methodology, we obtained minimal signature, tail signature, expected time, expected cost, and Barlow‐Proschan index were determined. The performance of all reliability characteristics has been observed graphically for arbitrary values of parameters. A real‐world example is used to introduce the point.

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Path Tracing Method to Evaluate the Signature Reliability Function of a Complex System

Cited by 9 publications

References 30 publications

Estimating the reliability of complex systems using various bounds methods

Estimating the reliability of complex systems using various bounds methods

Estimating the Reliability of Complex Systems Using Various Bounds Methods

Evaluation of reliability and characteristics measure using exponential decay distribution of non‐series parallel network

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