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
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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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4733

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Scholarly Output

181

Articles

170

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2972

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3444

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16.42

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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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Subject: reliability

Scholarly Output Search Results

Now showing 1 - 10 of 19
  • Thumbnail Image
    Article
    Citation - WoS: 13
    Citation - Scopus: 14
    On Mean Residual Life of Discrete Time Multi-State Systems
    (Nctu-national Chiao Tung Univ Press, 2013) Eryilmaz, Serkan
    The mean residual life function is an important characteristic in reliability and survival analysis. Although many papers have studied the mean residual life of binary systems, the study of this characteristic for multi-state systems is new. In this paper, we study mean residual life of discrete time multi-state systems that have M + 1 states of working efficiency. In particular, we consider two different definitions of mean residual life function and evaluate them assuming that the degradation in multi-state system follows a Markov process.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Analysis of the Two-Unit Cold Standby Repairable System With Damage and Repair Time Dependency Via Matrix-Exponential Distributions
    (Taylor & Francis Ltd, 2021) Kus, Coskun; Eryilmaz, Serkan
    In this paper, two-unit standby repairable system is studied via matrix-exponential distributions. The system under concern consists of one active and one standby components, and fails if either a damage size upon the failure of the active component is larger than a repair limit or the repair time of the failed unit exceeds the lifetime of the active unit, whichever happens first. Under the assumption that the damage size and repair time are statistically dependent, the Laplace transform of the system's lifetime is obtained. The Laplace transform is shown to be rational under particular cases, and the reliability evaluation of the system is performed via well-known distributional properties of the matrix-exponential distributions. The problem of estimating the unknown parameters of the operation time and repair time distributions is also discussed based on system's lifetime data.
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    Article
    Citation - WoS: 26
    Citation - Scopus: 28
    Mean residual life of coherent systems consisting of multiple types of dependent components
    (Wiley, 2018) Eryilmaz, Serkan; Coolen, Frank P. A.; Coolen-Maturi, Tahani
    Mean residual life is a useful dynamic characteristic to study reliability of a system. It has been widely considered in the literature not only for single unit systems but also for coherent systems. This article is concerned with the study of mean residual life for a coherent system that consists of multiple types of dependent components. In particular, the survival signature based generalized mixture representation is obtained for the survival function of a coherent system and it is used to evaluate the mean residual life function. Furthermore, two mean residual life functions under different conditional events on components' lifetimes are also defined and studied.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    A New Extended δ-shock Model With the Consideration of Shock Magnitude
    (Wiley, 2024) Lorvand, Hamed; Eryilmaz, Serkan
    In this article, a new delta$$ \delta $$-shock model that takes into account the magnitude of shocks is introduced and studied from reliability perspective. According to the new model, the system breaks down if either a shock after non-critical shock occurs in a time length less than delta 1$$ {\delta}_1 $$ or a shock after a critical shock occurs in a time length less than delta 2,$$ {\delta}_2, $$ where delta 1
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    Article
    Citation - WoS: 12
    Citation - Scopus: 14
    The Markov Discrete Time Δ-Shock Reliability Model and a Waiting Time Problem
    (Wiley, 2022) Chadjiconstantinidis, Stathis; Eryilmaz, Serkan
    delta-shock model is one of the widely studied shock models in reliability theory and applied probability. In this model, the system fails due to the arrivals of two consecutive shocks which are too close to each other. That is, the system breaks down when the time between two successive shocks falls below a fixed threshold delta. In the literature, the delta-shock model has been mostly studied by assuming that the time between shocks have continuous distribution. In the present paper, the discrete time version of the model is considered. In particular, a proper waiting time random variable is defined based on a sequence of two-state Markov dependent binary trials and the problem of finding the distribution of the system's lifetime is linked with the distribution of the waiting time random variable, and we study the joint as well as the marginal distributions of the lifetime, the number of shocks and the number of failures associated with these binary trials.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Reliability-Based Evaluation of Hybrid Wind-Solar Energy System
    (Sage Publications Ltd, 2021) Devrim, Yilser; Eryilmaz, Serkan
    In this article, a hybrid system that consists of a specified number of wind turbines and solar modules is considered. In particular, the system is modeled using weightedk-out-of-nsystem which is also known as a threshold system in reliability literature. The system under concern consists ofn1identical wind turbines andn2identical solar modules, and each turbine and module can be in one of two states as working or failed. The probability that the entire hybrid system withn=n1+n2components produces power at minimum levelkis computed and evaluated. The importance of single-wind turbine and solar module is also calculated to measure which renewable energy component is more critical and important. Extensive numerical results that are based on real data set are presented to illustrate the model.
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    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.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Systems Composed of Two Types of Nonidentical and Dependent Components
    (Wiley-blackwell, 2015) Eryilmaz, Serkan; Eryılmaz, Serkan; Eryılmaz, Serkan; Industrial Engineering; Industrial Engineering
    A coherent system of order n that consists two different types of dependent components is considered. The lifetimes of the components in each group are assumed to follow an exchangeable joint distribution, and the two random vectors, which represent the lifetimes of the components in each group are also assumed to be dependent. Under this particular form of dependence, all components are assumed to be dependent but they are categorized with respect to their reliability functions. Mixture representation is obtained for the survival function of the system's lifetime. Mixture representations are also obtained for the series and parallel systems consisting of disjoint modules such that all components of Type I are involved in one module (subsystem) and all components of Type II are placed in the other module. The theoretical results are illustrated with examples. (c) 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 388-394, 2015
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    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: 9
    Citation - Scopus: 10
    Coherent System With Standby Components
    (Wiley, 2018) Eryilmaz, Serkan; Erkan, T. Erman
    A coherent system that consists of n independent components and equipped with r cold standby components is considered. A generalized mixture representation for the survival function of such a system is obtained, and it is used to examine reliability properties of the system. In particular, the effect of adding r standby components to a given set of original components is measured by computing mean time to failure of the system. The limiting behavior of the failure rate of the system is also examined using the mixture representation. The results are illustrated for a bridge system. A case study that is concerned with an oil pipeline system is also presented.