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Start date: 2010Institution Author: search.filters.institutionAuthor.Eryilmaz, Serkan (8203625300)

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Now showing 1 - 10 of 75
  • Article
    Analogies between Engineering and Biological Systems from Reliability Engineering Point of View: Some Thoughts in the New AI Era
    (Taylor & Francis Inc, 2026-05-14) Eryilmaz, Serkan
    This article aims to establish an analogy between engineering systems and biological systems by focusing on some reliability and statistical models and concepts. Since reliability is by definition concerned with the future health and behavior of a system, reliability models are also considered to have potential applications for the human organism. In fact, this potential already exists through the overlap and intersection between reliability theory and survival analysis. In this context, in this article, some reliability models and concepts that have not been discussed before will be adapted to a human organism, taking into account today's data-driven processes and artificial intelligence-based developments.
  • Article
    A Note on Hazard Rates of Systems Protected by a Block
    (Springer Heidelberg, 2026-04-29) Eryilmaz, Serkan
    This paper is concerned with the investigation of the properties of the hazard rate of the system protected by a block. By examining the characteristics of the hazard rate of the system supported by a protection block, a comparison is made with the redundancy method, according to the hazard rate. It is shown that the lifetime of the system supported by the protection block is larger than the lifetime of the system equipped with redundant system asymptotically in the hazard rate order. The extension of the results to a system with multiple components is also discussed for a consecutive k-out-of-n system.
  • Correction
    The Evaluation of System Reliability Under Dependent Shock Magnitudes (Vol 28, 22, 2026)
    (Springer, 2026-03-16) Eryilmaz, Serkan
    In this article, the statement “Serkan Eryilmaz is a member of the MCAP editorial board” in Competing Interests was inadvertently missed out during production, thus; it was added. The current statement, “The authors declare no competing interests” should have been “Serkan Eryilmaz is a member of the MCAP editorial board”. Competing Interests Serkan Eryilmaz is a member of the MCAP editorial board. The original article has been corrected. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 1
    The Evaluation of System Reliability Under Dependent Shock Magnitudes
    (Springer, 2026-03) Eryilmaz, Serkan
    This paper studies shock models by assuming a certain kind of dependence among shock magnitudes. In particular, discrete time extreme and run shock models are investigated when the shock magnitudes follow discrete autoregressive process of order 1. Exact expressions are obtained for the reliability functions and mean time to failure values under both models. The method for deriving the reliability characteristics is based on the use of probability generating functions. Numerical results are presented when the shocks arrive according to a Binomial process.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    Start-up demonstration tests under Markov dependence
    (Isoss Publ, 2010) Eryilmaz,S.
    A start-up demonstration test is a mechanism that can be used to demonstrate the reliability of an equipment to the customer. In this paper, we study CSTF (consecutive successes total failures) and TSTF (total successes total failures) procedures assuming that the individual start-ups follow a first order Markov dependence structure. Explicit (nonrecursive) expressions for the distributions of the test lengths are provided. Maximum likelihood and moments estimators of the expected test length are obtained and some numerical results are presented for an illustration. © 2010 Pakistan Journal of Statistics.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    Reliability and Performance Evaluation of Weighted<i> K</I>-out-of-<i> N</I> :g System Consisting of Components With Discrete Lifetimes
    (Elsevier Sci Ltd, 2024-12) Eryilmaz, Serkan
    For the k-out-of-n n system consisting of components that have different weights, the system is in a good state if the total weight of working components is at least k . Such a system is known to be weighted k-out-of- n :G system. Although the weighted k-out-of-n n system that has continuously distributed components' lifetimes has been extensively studied, the discrete weighted k-out-of- n :G system has not been considered yet. The present paper fills this gap by modeling and analyzing the weighted k-out-of-n:G n :G system that consists of discretely distributed components' lifetimes. In particular, the behavior of the total capacity/weight of the system with respect to the component failures is evaluated. An optimization problem that is concerned with the determination of optimal number of spare components is also formulated by utilizing the mean lost capacity of the system.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Modeling Systems With Two Dependent Components Under Bivariate Shock Models
    (Taylor & Francis inc, 2018-02-05) Eryilmaz, Serkan
    Series and parallel systems consisting of two dependent components are studied under bivariate shock models. The random variables N-1 and N-2 that represent respectively the number of shocks until failure of component 1 and component 2 are assumed to be dependent and phase-type. The times between successive shocks are assumed to follow a continuous phase-type distribution, and survival functions and mean time to failure values of series and parallel systems are obtained in matrix forms. An upper bound for the joint survival function of the components is also provided under the particular case when the times between shocks follow exponential distribution.
  • Article
    Citation - WoS: 46
    Citation - Scopus: 50
    Age-Based Preventive Maintenance for Coherent Systems With Applications To Consecutive-<i>k</I>-out-of-<i>n< and Related Systems
    (Elsevier Sci Ltd, 2020-12) Eryilmaz, Serkan
    This article presents a signature-based representation for the expected cost rate of age-based preventive maintenance policy for a binary coherent system consisting of independent exponential components, and then specializes the method to consecutive k-out-of-n system and its generalizations. According to the age-based preventive maintenance policy, the system is replaced at failure or before failure. For an arbitrary coherent system, the number of failed components at replacement time is a random variable. Thus, the expected cost per unit of time involves the mean number of failed components at replacement time. This mean is represented in terms of signature. Extensive numerical and graphical examples are presented for m-consecutive k-out-of-n:F and consecuthre-k-within-m-out-of-n:F systems.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Statistical Inference for a Class of Startup Demonstration Tests
    (Taylor & Francis inc, 2019-04-02) Eryilmaz, Serkan
    In this article, we develop a general statistical inference procedure for the probability of successful startup p in the case of startup demonstration tests when only the number of trials until termination of the experiment are observed. In particular, we define a class of startup demonstration tests and present expectation-maximization (EM) algorithm to get the maximum likelihood estimate of p for this class. Most of well-known startup testing procedures are involved in this class. Extension of the results to Markovian startups is also presented.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    On the First Time of Ruin in Two-Dimensional Discrete Time Risk Model With Dependent Claim Occurrences
    (Taylor & Francis inc, 2017-10-11) Eryilmaz, Serkan
    This article is concerned with a two-dimensional discrete time risk model based on exchangeable dependent claim occurrences. In particular, we obtain a recursive expression for the finite time non ruin probability under such a dependence among claim occurrences. For an illustration, we define a bivariate compound beta-binomial risk model and present numerical results on this model by comparing the corresponding results of the bivariate compound binomial risk model.