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,
Job Title
Profesor Doktor
Email Address
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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Documents

219

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4749

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Scholarly Output

181

Articles

170

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2984

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3462

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19.13

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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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Start date: 2010Subject: Reliability

Scholarly Output Search Results

Now showing 1 - 10 of 57
  • Thumbnail Image
    Article
    Citation - WoS: 12
    Citation - Scopus: 14
    On Signatures of Series and Parallel Systems Consisting of Modules With Arbitrary Structures
    (Taylor & Francis inc, 2014) Eryilmaz, Serkan
    The signature of a system is a useful concept not only in the analysis of binary coherent systems but also in network reliability. Computation of system signature is a well-defined combinatorial problem. This article is concerned with the computation of signature vectors of series and parallel systems consisting of modules. We derive simple formulas for the signature and minimal signature of series and parallel systems based on signatures and minimal signatures of modules with given structures. We present computational results to illustrate the findings.
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    Article
    Citation - WoS: 43
    Citation - Scopus: 51
    On the lifetime behavior of a discrete time shock model
    (Elsevier, 2013) Eryilmaz, Serkan
    In this article, we study a shock model in which the shocks occur according to a binomial process, i.e. the interarrival times between successive shocks follow a geometric distribution with mean 1/p. According to the model, the system fails when the time between two consecutive shocks is less than a prespecified level. This is the discrete time version of the so-called delta-shock model which has been previously studied for the continuous case. We obtain the probability mass function and probability generating function of the system's lifetime. We also present an extension of the results to the case where the shock occurrences are dependent in a Markovian fashion. (C) 2012 Elsevier B.V. All rights reserved.
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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: 19
    Citation - Scopus: 21
    Revisiting Discrete Time Age Replacement Policy for Phase-Type Lifetime Distributions
    (Elsevier, 2021) Eryilmaz, Serkan
    For a system (or unit) whose lifetime is measured by the number cycles, according to the discrete time age replacement policy, it is replaced preventively after n cycles or correctively at failure, whichever oc-curs first. In this paper, discrete time age replacement policy is revisited when the lifetime of the system is modeled by a discrete phase-type distribution. In particular, the necessary conditions for the unique and finite replacement cycle which minimizes the expected cost per unit of time are obtained. The nec-essary conditions are mainly based on the behavior of the hazard rate. The results are illustrated for some special discrete phase-type lifetime distributions. Computational results are also presented for the optimal replacement cycle under specific real life setups. (c) 2021 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 11
    Citation - Scopus: 12
    Discrete Time Shock Models Involving Runs
    (Elsevier Science Bv, 2015) Eryilmaz, Serkan
    In this paper, three different discrete time shock models are studied. In the first model, the failure occurs when the additively accumulated damage exceeds a certain level while in the second model the system fails upon the local damage caused by the consecutively occurring shocks. The third model is a mixed model and combines the first and second models. The survival functions of the systems under these models are obtained when the occurrences of the shocks are independent, and when they are Markov dependent over the periods. (C) 2015 Elsevier B.V. All rights reserved.
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    Article
    Citation - WoS: 23
    Citation - Scopus: 26
    Optimization Problems for a Parallel System With Multiple Types of Dependent Components
    (Elsevier Sci Ltd, 2020) Eryilmaz, Serkan; Ozkut, Murat
    This paper is concerned with two optimization problems for a parallel system that consists of dependent components. First, the problem of finding the number of elements in the system that minimizes the mean cost rate of the system is considered. The second problem is concerned with the optimal replacement time of the system. Previous work assumes that the components are independent. We discuss the impact of dropping this assumption. In particular, we numerically examine how the dependence between the components affects the optimal number of units and replacement time for the system which minimize mean cost rates. We first consider the case when the components are exchangeable and dependent, i.e. the system consists of single type of dependent components. Subsequently, we consider a system that consists of multiple types of dependent components. Comparative numerical results are presented for particularly chosen dependence models.
  • Thumbnail Image
    Book Part
    Discrete Scan Statistics Generated by Dependent Trials and Their Applications in Reliability
    (Springer New York, 2024) Eryilmaz,S.; Yalcin,F.
    The chapter is concerned with discrete scan statistic based on a sequence of dependent binary trials. In particular, the existing results are reviewed for the distribution of the discrete scan statistic based on a sequence of exchangeable binary trials. The results are discussed in the context of the reliability of the linear consecutive-k-within-m-out-of-n:F system, and a new exact formula for the reliability of the linear consecutive-2-within-m-out-of-n:F system that consists of arbitrarily dependent components is presented. © Springer Science+Business Media, LLC, part of Springer Nature 2024.
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    Article
    Citation - WoS: 11
    Citation - Scopus: 12
    A New Mixed Δ-Shock Model With a Change in Shock Distribution
    (Springer, 2023) Chadjiconstantinidis, Stathis; Tuncel, Altan; Eryilmaz, Serkan
    In this paper, reliability properties of a system that is subject to a sequence of shocks are investigated under a particular new change point model. According to the model, a change in the distribution of the shock magnitudes occurs upon the occurrence of a shock that is above a certain critical level. The system fails when the time between successive shocks is less than a given threshold, or the magnitude of a single shock is above a critical threshold. The survival function of the system is studied under both cases when the times between shocks follow discrete distribution and when the times between shocks follow continuous distribution. Matrix-based expressions are obtained for matrix-geometric discrete intershock times and for matrix-exponential continuous intershock times, as well.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Parallel and Consecutive-k-out-of-n< Systems Under Stochastic Deterioration
    (Elsevier Science inc, 2014) Eryilmaz, Serkan
    In this paper, we study parallel and consecutive-k-out-of-n:F systems consisting of components which are subject to random deterioration with time. The random deterioration in resistance of a component is defined through a stochastic process. We obtain lifetime distribution of a parallel system via classical probabilistic techniques. The lifetime distribution of a consecutive-k-out-of-n:F system is derived using the lifetime distribution of parallel systems and the concept of maximal signature. We also study the optimal replacement time for a parallel system. We present illustrative computational results using MATHCAD. (C) 2013 Elsevier Inc. All rights reserved.
  • Thumbnail Image
    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.