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
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

Citations

4733

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Scholarly Output

181

Articles

170

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771/2215

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2

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WoS Citation Count

2972

Scopus Citation Count

3444

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30

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WoS Citations per Publication

16.42

Scopus Citations per Publication

19.03

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26

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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 169
  • Thumbnail Image
    Article
    Citation - WoS: 29
    Citation - Scopus: 31
    Computing Marginal and Joint Birnbaum, and Barlow-Proschan Importances in Weighted-k-out-of-n< Systems
    (Pergamon-elsevier Science Ltd, 2014) Eryilmaz, Serkan; Bozbulut, Ali Riza
    A weighted-k-out-of-n:G system is a system that consists of n binary components, each with its own positive weight, and operates only when the total weight of working components is at least k. Such a structure is useful when the components have different contributions to the performance of the entire system. This paper is concerned with both marginal and joint Birnbaum, and Barlow-Proschan (BP) importances of the components in weighted- k-out-of-n:G systems. The method of universal generating function is used for computing marginal and joint Birnbaum importances. The method for computing BP-importance is based on a direct probabilistic approach. Extensive numerical calculations are presented. By the help of these calculations and illustrations, it is possible to observe how the marginal and joint importances change with respect to the weights of components. (C) 2014 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 5
    Component Importance in Coherent Systems With Exchangeable Components
    (Cambridge Univ Press, 2015) Eryilmaz, Serkan
    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.
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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.
  • Thumbnail Image
    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: 2
    Citation - Scopus: 2
    Computing Waiting Time Probabilities Related To (k1< k2< ..., kl< Pattern
    (Springer, 2023) Chadjiconstantinidis, Stathis; Eryilmaz, Serkan
    For a sequence of multi-state trials with l possible outcomes denoted by {1, 2, ..., l}, let E be the event that at least k(1) consecutive is followed by at least k(2) consecutive 2s,..., followed by at least k(l) consecutive ls. Denote by T-r the number of trials for the rth occurrence of the event E in a sequence of multi-state trials. This paper studies the distribution of the waiting time random variable T-r when the sequence consists of independent and identically distributed multi-state trials. In particular, distributional properties of T-r are examined via matrix-geometric distributions.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 30
    The Distributions of Sum, Minima and Maxima of Generalized Geometric Random Variables
    (Springer, 2015) Tank, Fatih; Eryilmaz, Serkan
    Geometric distribution of order as one of the generalization of well known geometric distribution is the distribution of the number of trials until the first consecutive successes in Bernoulli trials with success probability . In this paper, it is shown that this generalized distribution can be represented as a discrete phase-type distribution. Using this representation along with closure properties of phase-type distributions, the distributions of sum, minima and maxima of two independent random variables having geometric distribution of order are obtained. Numerical results are presented to illustrate the computational details.
  • Thumbnail Image
    Article
    Citation - WoS: 77
    Citation - Scopus: 80
    Reliability and Optimal Replacement Policy for an Extreme Shock Model With a Change Point
    (Elsevier Sci Ltd, 2019) Eryilmaz, Serkan; Kan, Cihangir
    An extreme shock model when there is a change in the distribution of the magnitudes of shocks is defined and studied. Such a model is useful in practice since a sudden change in environmental conditions may cause a larger shock. In particular, the reliability and mean time to failure of the system is obtained by assuming that the times between arrivals of shocks follow phase-type distribution. The optimal replacement policy that is based on a control limit is also proposed. The results are illustrated when the number of shocks until the change point follows geometric distribution.
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    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
    A Class of Shock Models for a System That Is Equipped With a Protection Block With an Application to Wind Turbine Reliability
    (Wiley, 2025) Eryilmaz, Serkan
    This paper studies a class of shock models for a system that is equipped with a protection block that has its own failure rate. Under the considered class, the system exposed to shocks at random times is protected by the protection block, and the probability of the shock damaging the system varies depending on whether the protection block operates or not. The system failure criteria is defined based on the pattern of the critical/damaging shocks. Exact expressions for the reliability and mean time to failure of the system are obtained, and detailed computations are presented for the run shock model, which is included in the class. The application of the extreme shock model, which is included in the relevant class, to wind turbine reliability is also discussed.