Eryılmaz, Serkan

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https://hdl.handle.net/20.500.14411/7214
Name Variants
E., Serkan
Eryilmaz, S
E.,Serkan
S., Eryilmaz
Eryılmaz, Serkan
Eryilmaz, S.
Eryilmaz,S.
Eryilmaz, Serkan
S.,Eryılmaz
Eryilmaz S.
Serkan, Eryılmaz
Erylmaz S.
Eryılmaz S.
Eryilmaz, SN
S., Eryılmaz
Eryılmaz,S.
Serkan, Eryilmaz
S.,Eryilmaz
EryIlmaz S.
Eryilmaz S., Professor,
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Profesor Doktor
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serkan.eryilmaz@atilim.edu.tr
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Industrial Engineering
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Website
ORCID ID
0000-0002-2108-1781
Scopus Author ID
8203625300
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Google Scholar ID
WoS Researcher ID
AAF-9349-2019

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Reliability Engineering & System Safety28
Journal of Computational and Applied Mathematics20
IEEE Transactions on Reliability15
Applied Stochastic Models in Business and Industry10
Statistics & Probability Letters9
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Author: Kan, CihangirSubject: reliability

Scholarly Output Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 26
    Citation - Scopus: 28
    Reliability Assessment for Discrete Time Shock Models Via Phase-Type Distributions
    (Wiley, 2021) Eryilmaz, Serkan; Kan, Cihangir
    In this paper, particular shock models are studied for the case when the times between successive shocks and the magnitudes of shocks have discrete phase-type distributions. The well-known shock models such as delta shock model, extreme shock model, and the mixed shock model which is obtained by combining delta and extreme shock models are considered. The probability generating function and recursive equation for the distribution of the system's lifetime are obtained for the cases when the interarrival times between shocks and the magnitudes of shocks are independent and when they are dependent. System reliability is computed for particular interarrival distributions such as geometric, negative Binomial and generalized geometric distributions.
  • Thumbnail Image
    Article
    Citation - WoS: 12
    Citation - Scopus: 13
    A NEW SHOCK MODEL WITH A CHANGE IN SHOCK SIZE DISTRIBUTION
    (Cambridge Univ Press, 2021) Eryilmaz, Serkan; Kan, Cihangir
    For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d(1), and the system fails upon the occurrence of the first shock above a critical level d(2) (> d(1)). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks.