Özkut, Cemal Murat
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Ozkut, C. M.
Ozkut, M.
Ozkut, Murat
Ozkut, Cemal Murat
Ozkut, C. Murat
Ozkut, M.
Ozkut, Murat
Ozkut, Cemal Murat
Ozkut, C. Murat
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murat.ozkut@ieu.edu.tr
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02.02. Mathematics
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Documents
17
Citations
198
h-index
7
Documents
17
Citations
181
Scholarly Output
20
Articles
18
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64/111
Supervised MSc Theses
1
Supervised PhD Theses
1
WoS Citation Count
181
Scopus Citation Count
197
WoS h-index
7
Scopus h-index
7
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0
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0
WoS Citations per Publication
9.05
Scopus Citations per Publication
9.85
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7
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2
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| Journal | Count |
|---|---|
| Journal of Computatıonal And Applıed Mathematıcs | 5 |
| Proceedıngs of the Instıtutıon of Mechanıcal Engıneers Part O-Journal of Rısk And Relıabılıty | 2 |
| Computers and Industrial Engineering | 1 |
| Computers & Industrial Engineering | 1 |
| Ieee Transactıons on Relıabılıty | 1 |
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Article Citation - WoS: 4Citation - Scopus: 4The (n - K+1)-Out Concomitant System Having M Subcomponents and Its Reliability(Elsevier, 2021) Ozkut, MuratWe consider an (n - k + 1)-out-of-n concomitant system consisting of n components each having two subcomponents. This system functions if and only if at least (n-k+1) of the first subcomponents function, and the second subcomponents of working first components also function. The reliability of the proposed system is derived. The effect of dependent subcomponents on the system reliability relative to independent subcomponents is discussed. The system with two subcomponents is extended to the system with m subcomponents. Comparative numerical results and graphical representations are provided. (C) 2020 Elsevier B.V. All rights reserved.Doctoral Thesis Marshall-Olkin Type Shock Models and Their Applications(İzmir Ekonomi Üniversitesi, 2015) Özkut, Cemal Murat; Bayramoğlu, İsmihanKlasik Marshall-Olkin tipi şok modelleri ve bu modellerin modifikasyonlarında, iki ya da daha fazla bileşen içeren sistem farklı kaynaklar tarafından rastgele zamanlarda üretilen şoklara maruz kalır ve sistemin ilgili bileşenleri yok olur. Marshall-Olkin tipi şok modellerinden farklı olarak, üretilen şokun şiddetinin önceden belirlenen eşik değerden yüksek olduğu taktirde ilgili bileşenin imha edileceğini aksi takdirde bileşenin çalışmaya devam edeceğini varsaydık. Daha iyi anlatmak gerekirse, şok zamanı ve şiddetinin bağımlı iki değişkenli dağılıma sahip olduğunu varsaydık. Şokların şiddetlerinin dikkate alınması gerekliliği yaklaşımı bize şok modellerin gerçek yaşam uygulamalarında ortaya çıkan gereksinimleri karşılamamıza izin veriyor. Bu tez çalışmasında, şok zamanı ve şok şiddetinin ortak dağılımını içeren yeni iki değişkenli dağılım sınıfı elde edildi. Yeni iki değişkenli dağılımın bağımlılık özellikleri çalışıldı. Bileşenlerin yaşam süreleri ve şok zamanlarının ikili dağılımlarının verildiği farklı örnekler için, bileşenlerin yaşam sürelerinin ortak dağılımları incelendi. Ayrıca önerilen modelin genişletilmiş çok değişkenli modeli ayrıca tartışıldı. Önerilen modelin tekil dağılım fonksiyonu ve tamamıyla sürekli fonksiyonun kombinasyonu şeklinde olması ortak dağılımın bilinmeyen parametrelerinin en çok olabilirlik tahmin edicilerini bulmayı zorlaştırmaktadır. Bu yüzden, beklenti maximizasyonu algoritması kullanarak önerilen ikili ve çoklu modellerin veri setlerini inceledik. Ayrıca, önerilen ikili ve çoklu modellerin bilinmeyen parametrelerinin asimptotik güven aralıkları oluşturuldu.Article Citation - WoS: 21Citation - Scopus: 24Optimization Problems for a Parallel System With Multiple Types of Dependent Components(Elsevier Sci Ltd, 2020) Eryılmaz, Serkan; Ozkut, MuratThis 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.Article Citation - WoS: 12Citation - Scopus: 13Reliability and Optimal Replacement Policy for a Generalized Mixed Shock Model(Springer, 2023) Özkut, Cemal MuratA generalized mixed shock model, which mixes two run shock models, is developed and analyzed. According to the model, the system subject to both internal degradation and external shocks fails upon the occurrence of k(1) consecutive shocks whose magnitude is between predefined critical values of d(1) and d(2) such that d(1) < d(2), or k(2) consecutive shocks whose magnitude is above d(2). The system's reliability, mean time to failure, and mean residual lifetime are all calculated under the assumption that the lifetime of the system due to internal wear and external shock arrival times follows a phase-type distribution. The best policy for replacement is also discussed. There are also graphical representations and numerical examples for the proposed model, in which both lifetime distribution of internal degradation and the interarrival periods between external shocks follow the Erlang distribution.Article Citation - WoS: 56Citation - Scopus: 58Reliability Analysis Under Marshall-Olkin Run Shock Model(Elsevier, 2019) Ozkut, Murat; Eryılmaz, SerkanIn this paper, a new shock model called Marshall-Olkin run shock model is defined and studied. According to the model, two components are subject to shocks that may arrive from three different sources, and component i fails when it is subject to k consecutive critical shocks from source i or k consecutive critical shocks from source 3, i = 1, 2. Reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution. (C) 2018 Elsevier B.V. All rights reserved.Article Citation - WoS: 18Citation - Scopus: 20Reliability of Coherent Systems With a Single Cold Standby Component(Elsevier, 2015) Franko, Ceki; Özkut, Cemal Murat; Kan, CihangirIn this paper, the influence of a cold standby component on a coherent system is studied. A method for computing the system reliability of coherent systems with a cold standby component based on signature is presented. Numerical examples are presented. Reliability and mean time to failure of different systems are computed. (C) 2014 Elsevier B.V. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 4Analyzing Component Failures in Series-Parallel Systems With Dependent Components(Elsevier Ltd, 2024) Torrado, N.; Ozkut, M.This paper investigates a series-parallel system comprising N independent subsystems with interchangeable dependent components, a prevalent reliability structure in engineering and network design. The primary aim of this research is to derive the joint probability distribution of the number of failed components within these configurations, considering component dependence and varying distributions across subsystems. This approach reflects a more realistic scenario than previously explored in the literature. Initially, the analysis is conducted for systems with two subsystems and subsequently extended to encompass configurations with N subsystems. The study also evaluates key reliability metrics including the average number of failed components and the mean time to failure (MTTF) of the entire system, theoretically proving that the system's MTTF increases with the number of components under certain sufficient conditions. In addition to probabilistic analysis, an optimization problem is addressed to determine the optimal allocation of components within each subsystem. The objective is to minimize the average cost associated with corrective maintenance, thereby enhancing the cost-effectiveness of system operation. © 2024 The AuthorsArticle Citation - WoS: 3Citation - Scopus: 3Comparison of the Replacement Policy in K-Out Systems Having Dependent Components(Sage Publications Ltd, 2022) Ozkut, MuratThis paper is concerned with two optimization problems for a k-out-of-n system consisting of dependent components such as finding the number of elements in the system that minimize the system's mean cost rate and the system's optimal replacement time. In previous studies, either system consisting of independent components or parallel systems, a particular case of the present study, was examined. In particular, we numerically examine how the components' dependence affects the optimal number of units and replacement time for the system, minimizing mean cost rates. We consider when the components are exchangeable and dependent, that is, the system consists of dependent components. For three vastly used Clayton, Gumbel, and FGM copula functions, comparative numerical results are presented.Article Citation - WoS: 3Citation - Scopus: 4Recent Developments About Marshall-Olkin Bivariate Distribution(Springer, 2022) Bayramoğlu, İsmihan; Ozkut, MuratThis paper is a short review of classical and recent results on Marshall-Olkin shock models and their applications in reliability analysis. The classical Marshall-Olkin shock model was introduced in Marshall and Olkin (J Am Stat Assoc 62:30-44, 1967). The model describes a joint distribution of lifetimes of two components of a system subjected to three types of shocks. The distribution has absolutely continuous and singular parts. The Marshall-Olkin copula also aroused the interest of researchers working on the theory of copulas as an example of a copula having absolutely continuous and singular parts. There are some recent papers considering general models and modifications constructed on the basic idea of Marshall and Olkin (1967). These works find wide applications in reliability analysis in the case of a general system having n (n > 2) components and shocks coming from in (m > 3) sources. Some applications can also be seen in the theory of credit risk, where instead of lifetimes of the components, one considers the times to the default of two counter-parties subject to three independent underlying economic or financial events. In this work, we analyze and describe the results dealing with the generalization and modification of the Marshall-Olkin model.Article Citation - WoS: 1Analysis of Joint Reliability Importance in Linear M-Consecutive L-Out System(Ankara Univ, Fac Sci, 2020) Kan, Cihangir; Ozkut, MuratCombinatorial techniques have an important role to compute the joint reliability importance (JRI) of some coherent systems. We obtain combi- natorial formula for calculation of the JRI of two components in a generalised version of consecutive type systems consisting of n linearly ordered components such that system fails if and only if (i§) there are at least m l-overlapping runs of k consecutive failed components (n m(k l) + l; l < k). Overlapping runs mean having common elements which is denoted by l: We concentrate on both s-independent & identical components and exchangeable components. Explicit combinatorial formulae are provided for computing the JRI of the above mentioned cases. For both cases, we also compare the results with lin- ear m-consecutive-k-out-of-n:F system (nonoverlapping case when l = 0). In addition, some numerical and illustrative examples are presented.
