Eryılmaz, Serkan

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https://hdl.handle.net/20.500.14411/7214
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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,
Job Title
Profesor Doktor
Email Address
serkan.eryilmaz@atilim.edu.tr
Main Affiliation
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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Documents

219

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4749

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Scholarly Output

181

Articles

170

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2996

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3462

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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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Now showing 1 - 10 of 181
  • Thumbnail Image
    Article
    Citation - WoS: 22
    Citation - Scopus: 23
    On Residual Lifetime of Coherent Systems After the rth Failure
    (Springer, 2013) Eryilmaz, Serkan
    In this article we study the residual lifetime of a coherent system after the rth failure, i.e. the time elapsed from the rth failure until the system failure given that the system operates at the time of the rth failure. We provide a mixture representation for the corresponding residual lifetime distribution in terms of signature. We also obtain some stochastic ordering results for the residual lifetimes.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 15
    Discrete Time Series-Parallel System and Its Optimal Configuration
    (Elsevier Sci Ltd, 2021) Dembinska, Anna; Eryilmaz, Serkan
    This paper is concerned with properties of series-parallel systems when the component lifetimes have discrete failure time distribution. For a series-parallel system consisting of a specified number of subsystems, we particularly focus on the number of failed components in each subsystem at the time when the system fails. Each subsystem is assumed to have identical components while different subsystems have different types of components. Assuming all components within the system are independent, we obtain exact distributions of the number of failed components at the time when the system fails. For the special case when the components have phase-type failure time distributions, matrix-based expressions are derived for the quantities under concern. The results are used to obtain optimal configuration of the series-parallel system which is replaced at failure.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 16
    Joint Reliability Importance in Coherent Systems With Exchangeable Dependent Components
    (Ieee-inst Electrical Electronics Engineers inc, 2016) Eryilmaz, Serkan; Oruc, Ozlem Ege; Oger, Volkan
    In this paper, a general formula for computing the joint reliability importance of two components is obtained for a binary coherent system that consists of exchangeable dependent components. Using the new formula, the joint reliability importance can be easily calculated if the path sets of the system are known. As a special case, an expression for the joint reliability importance of two components is also obtained for a system consisting of independent and identical components. Illustrative numerical results are presented to compare the joint reliability importance of two components in the bridge system for the two cases when the components are exchangeable dependent and when the components are independent and identical.
  • Thumbnail Image
    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    On the Sums of Distributions of Order Statistics From Exchangeable Random Variables
    (Elsevier Science Bv, 2013) Eryilmaz, Serkan
    In this paper, we obtain an expression between the sums of the marginal distributions of the order statistics and the common marginal distribution of an exchangeable random sequence. We also derive an expression between the sums of the joint distribution of two order statistics and the two dimensional joint distribution of an exchangeable random sequence. (C) 2013 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 10
    Computing Reliability Indices of a Wind Power System Via Markov Chain Modelling of Wind Speed
    (Sage Publications Ltd, 2024) Eryilmaz, Serkan; Bulanik, Irem; Devrim, Yilser
    Statistical modelling of wind speed is of great importance in the evaluation of wind farm performance and power production. Various models have been proposed in the literature depending on the corresponding time scale. For hourly observed wind speed data, the dependence among successive wind speed values is inevitable. Such a dependence has been well modelled by Markov chains. In this paper, the use of Markov chains for modelling wind speed data is discussed in the context of the previously proposed likelihood ratio test. The main steps for Markov chain based modelling methodology of wind speed are presented and the limiting distribution of the Markov chain is utilized to compute wind speed probabilities. The computational formulas for reliability indices of a wind farm consisting of a specified number of wind turbines are presented through the limiting distribution of a Markov chain. A case study that is based on real data set is also presented.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 29
    On Reliability Analysis of a Two-Dependent Series System With a Standby Unit
    (Elsevier Science inc, 2012) Eryilmaz, Serkan; Tank, Fatih
    In this paper we study a series system with two active components and a single cold standby unit. The two simultaneously working components are assumed to be dependent and this dependence is modeled by a copula function. In particular, we obtain an explicit expression for the mean time to failure of the system in terms of the copula function and marginal lifetime distributions. We also provide illustrative numerical results for different copula functions and marginal lifetime distributions. (c) 2012 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 60
    Citation - Scopus: 64
    Computing Optimal Replacement Time and Mean Residual Life in Reliability Shock Models
    (Pergamon-elsevier Science Ltd, 2017) Eryilmaz, Serkan
    In this paper, matrix-based methods are presented to compute the optimal replacement time and mean residual lifetime of a system under particular class of reliability shock models. The times between successive shocks are assumed to have a common continuous phase-type distribution. The system's lifetime is represented as a compound random variable and some properties of phase-type distributions are utilized. Extreme shock model, run shock model, and generalized extreme shock model are shown to be the members of this class. Graphical illustrations and numerical examples are presented for the run shock model when the interarrival times between shocks follow Erlang distribution. (C) 2016 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 30
    Citation - Scopus: 34
    Discrete Time Shock Models in a Markovian Environment
    (Ieee-inst Electrical Electronics Engineers inc, 2016) Eryilmaz, Serkan
    This paper deals with two different shock models in a Markovian environment. We study a system from a reliability point of view under these two shock models. According to the first model, the system fails if the cumulative shock magnitude exceeds a critical level, while in the second model the failure occurs when the cumulative effect of the shocks in consecutive periods is above a critical level. The shock occurrences over discrete time periods are assumed to be Markovian. We obtain expressions for the failure time distributions of the system under the two model. Illustrative computational results are presented for the survival probabilities and mean time to failure values of the system.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Reliability Analysis of Systems With Components Having Two Dependent Subcomponents
    (Taylor & Francis inc, 2017) Eryilmaz, Serkan
    In this article, a system that consists of n independent components each having two dependent subcomponents (A(i), B-i), i = 1, ... ,n is considered. The system is assumed to compose of components that have two correlated subcomponents (A(i), B-i), and functions iff both systems of subcomponents A(1),A(2), ... ,A(n) and B-1, B-2, ... , B-n work under certain structural rules. The expressions for reiiabiiity and mean time to failure of such systems are obtained. A sufficient condition to compare two systems of bivariate components in terms of stochastic ordering is also ordering presented.
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    Article
    Citation - WoS: 29
    Citation - Scopus: 34
    System Reliability Under Δ-Shock Model
    (Taylor & Francis inc, 2018) Tuncel, Altan; Eryilmaz, Serkan
    delta-shock model is one of the widely studied shock models in reliability. Under this model, the system fails when the time between two consecutive shocks falls below a fixed threshold . In this paper, the survival function and the mean time to failure of the system are obtained when the times between successive shocks follow proportional hazard rate model.