Eryılmaz, Serkan

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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
Scopus Author ID
Turkish CoHE Profile ID
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WoS Researcher ID

Sustainable Development Goals

14

LIFE BELOW WATER
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2

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11

SUSTAINABLE CITIES AND COMMUNITIES
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5

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3

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9

INDUSTRY, INNOVATION AND INFRASTRUCTURE
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Documents

219

Citations

4749

h-index

39

Documents

211

Citations

4177

Scholarly Output

181

Articles

170

Views / Downloads

176/0

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

2984

Scopus Citation Count

3462

WoS h-index

30

Scopus h-index

31

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WoS Citations per Publication

16.49

Scopus Citations per Publication

19.13

Open Access Source

26

Supervised Theses

2

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JournalCount
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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Scholarly Output Search Results

Now showing 1 - 10 of 170
  • Article
    Citation - Scopus: 5
    Component Importance in Coherent Systems With Exchangeable Components
    (Applied Probability Trust, 2015) Eryilmaz,S.
    This paper is concerned with the Birnbaum importance measure of a component in a binary coherent system. A representation for the Birnbaum importance of a component is obtained when the system consists of exchangeable dependent components. The results are closely related to the concept of the signature of a coherent system. Some examples are presented to illustrate the results. © 2015 Applied Probability Trust.
  • 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.
  • Article
    Citation - WoS: 62
    Citation - Scopus: 69
    Estimation in Coherent Reliability Systems Through Copulas
    (Elsevier Sci Ltd, 2011) Eryilmaz, Serkan
    The problem of estimating the parameter of a common distribution of components' lifetimes from system's lifetime data is of interest and importance in reliability engineering. The present paper deals with this problem when the common component distribution is exponential with mean it and the lifetimes of components have an exchangeable joint distribution which is constructed by the help of Archimedean copula. In particular we obtain moment estimator of p for Clayton and Ali-Mikhail-Haq copulas. We illustrate the findings of the paper for a special class of coherent systems called consecutive k-within-m-out-of-n:F system. A simulation study is performed to investigate the properties of the moment estimator. The method presented in this paper can be applied to all coherent systems. (C) 2010 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Generalized Sooner Waiting Time Problems in a Sequence of Trinary Trials
    (Elsevier Science Bv, 2016) Eryilmaz, Serkan; Gong, Min; Xie, Min
    Let {xi(n), n >= 1} be a sequence of independent trials with three possible outcomes 0, 1, 2 labeled as failure, success of type I and success of type II, respectively. Suppose that at each time a success of type I (type II) occurs in {xi(n), n >= 1} a random reward of type I (type II) is received. We obtain distributions of the number of trials until either the sum of consecutive rewards of type I is equal to or exceeds the level k(1) or the sum of consecutive rewards of type II is equal to or exceeds the level k(2) under two different schemes. (C) 2016 Elsevier B.V. All rights reserved.
  • 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.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    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
  • Article
    Citation - WoS: 23
    Citation - Scopus: 26
    Lifetime of Multistate k-out-of-n< Systems
    (Wiley-blackwell, 2014) Eryilmaz, Serkan
    A multistate k-out-of-n system model is an extension of binary k-out-of-n system model by allowing multiple performance levels for the system and its components. Various definitions of multistate k-out-of-n system model have been proposed in the literature. Previous studies on these systems mostly focus on reliability evaluation algorithms. The present paper investigates the lifetimes of multistate systems. In particular, the lifetimes of two different multistate k-out-of-n system models are represented in terms of order statistics, and bounds and approximations are presented using these representations. The results are illustrated for a multistate system whose components' degradation occurs according to a Markov process. Copyright (C) 2013 John Wiley & Sons, Ltd.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    The Mean Number of Failed Components in Discrete Time Consecutive K-Out F System and Its Application To Parameter Estimation and Optimal Age-Based Preventive Replacement
    (Elsevier Sci Ltd, 2025) Eryilmaz, Serkan; Kan, Cihangir
    It is important in many respects to have information about the number of failed components in the system when or before a system fails. This paper investigates the mean number of failed components at or before the failure time of the linear consecutive k-out-of-n:F system which is a useful structure to model various engineering systems such as transportation and transmission systems. In particular, closed form expressions for the mean number of failed components within the system that have discretely distributed components lifetimes are obtained. The results are used to estimate the unknown parameter of the components' lifetime distribution and to find the optimal replacement cycle that minimizes the expected cost per unit of time under a certain age-based replacement policy.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    Reliability of the Two-Unit Priority Standby System Revisited
    (Sage Publications Ltd, 2022) Eryilmaz, Serkan; Finkelstein, Maxim
    This paper deals with reliability assessment of the repairable two-unit cold standby system when the first, main unit has the better performance level than the second one. Therefore, after its repair, the main unit is always switched into operation. The new Laplace transform representation for the system's lifetime is obtained for arbitrary operation and repair time distributions of the units. For some particular cases, the Laplace transform of the system is shown to be rational, which enables the use of the matrix-exponential distributions for obtaining relevant reliability indices. The discrete setup of the model is also considered through the corresponding matrix-geometric distributions, which are the discrete analogs of the matrix-exponential distributions.
  • 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.