Tank, Fatih

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https://hdl.handle.net/20.500.14411/11235
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Tank, Fatih
T., Fatih
T., F.
Tank, F.
F. Tank
Fatih Tank
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Profesör Doktor
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fatih.tank@atilim.edu.tr
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Current Staff
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0000-0003-3758-396X
Scopus Author ID
12041740200
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19415
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WoS Researcher ID
W-4877-2017

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9

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8

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73

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89

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8.11

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9.89

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2

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Journal of Computational and Applied Mathematics2
Insurance: Mathematics and Economics1
Japanese Journal of Statistics and Data Science1
Journal of Applied Probability1
Nuclear Physics B1
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Author: Eryilmaz, SerkanSubject: Keywords: Matrix-Geometric Distribution

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    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Computing Minimal Signature of Coherent Systems Through Matrix-Geometric Distributions
    (Cambridge Univ Press, 2021) Eryilmaz, Serkan; Eryılmaz, Serkan; Tank, Fatih; Eryılmaz, Serkan; Industrial Engineering; Industrial Engineering
    Signatures are useful in analyzing and evaluating coherent systems. However, their computation is a challenging problem, especially for complex coherent structures. In most cases the reliability of a binary coherent system can be linked to a tail probability associated with a properly defined waiting time random variable in a sequence of binary trials. In this paper we present a method for computing the minimal signature of a binary coherent system. Our method is based on matrix-geometric distributions. First, a proper matrix-geometric random variable corresponding to the system structure is found. Second, its probability generating function is obtained. Finally, the companion representation for the distribution of matrix-geometric distribution is used to obtain a matrix-based expression for the minimal signature of the coherent system. The results are also extended to a system with two types of components.