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
Main Affiliation
02.02. Mathematics
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Current Staff
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Documents
17
Citations
198
h-index
7
Documents
17
Citations
181
Scholarly Output
21
Articles
19
Views / Downloads
64/111
Supervised MSc Theses
1
Supervised PhD Theses
1
WoS Citation Count
181
Scopus Citation Count
197
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0
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0
WoS Citations per Publication
8.62
Scopus Citations per Publication
9.38
Open Access Source
8
Supervised Theses
2
| 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: 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.Article Citation - WoS: 12Citation - Scopus: 13Reliability and Optimal Replacement Policy for a Generalized Mixed Shock Model(Springer, 2023) Özkut, Cemal Murat; Ozkut, 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: 22Citation - Scopus: 25The Reliability of Coherent Systems Subjected To Marshall-Olkin Type Shocks(IEEE-Inst Electrical Electronics Engineers Inc, 2015) Bayramoglu Ismihan; Ozkut, MuratIn the classical Marshall-Olkin model, the system is subjected to two types of shocks coming at random times, and destroying components of the system. In statistics and reliability engineering literature, there are numerous papers dealing with various extensions of this model. However, none of these works takes into account the system structure, i.e., in existing shock models usually the system structure is not considered. In this work, we consider a new shock model involving the system structure. More precisely, we consider a coherent system which is subjected to Marshall-Olkin type shocks. We investigate the reliability, and mean time to failure (MTTF) of such systems subjected to shocks coming at random times. Numerical examples and graphs are provided, and an extension to a general model is discussed.Article Citation - WoS: 15Citation - Scopus: 15Mean Residual Life and Inactivity Time of a Coherent System Subjected To Marshall-Olkin Type Shocks(Elsevier, 2016) Bayramoglu (Bairamov), Ismihan; Ozkut, MuratWe consider coherent systems subjected to Marshall-Olkin type shocks coming at random times and destroying components of the system. The paper combines two important models, coherent systems and Marshall-Olkin type shocks and studies the mean residual life (MRL) and the mean inactivity time (MIT) functions of coherent systems that is subjected to random shocks. The considered models and theoretical results are supported with examples and graphical representations. (C) 2016 Published by Elsevier B.V.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: 3Citation - Scopus: 3Analyzing the Multi-State System Under a Run Shock Model(Cambrıdge Unıv Press, 2024) Özkut, Cemal Murat; Kan, Cihangir; Franko, Ceki; Ozkut, MuratA system experiences random shocks over time, with two critical levels, d1 and d2, where $d_{1} \lt d_{2}$. k consecutive shocks with magnitudes between d1 and d2 partially damaging the system, causing it to transition to a lower, partially working state. Shocks with magnitudes above d2 have a catastrophic effect, resulting in complete failure. This theoretical framework gives rise to a multi-state system characterized by an indeterminate quantity of states. When the time between successive shocks follows a phase-type distribution, a detailed analysis of the system's dynamic reliability properties such as the lifetime of the system, the time it spends in perfect functioning, as well as the total time it spends in partially working states are discussed.Article On the Coherent Systems Subject To Marshall-Olkin Type Shocks(2020) Ozkut, Murat; Kan, Cihangir
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