Browsing by Author "Kan, Cihangir"

Now showing 1 - 9 of 9

Citation - WoS: 1
Analysis of Joint Reliability Importance in Linear M-Consecutive L-Out System
(Ankara Univ, Fac Sci, 2020) Kan, Cihangir; Ozkut, Murat
Combinatorial 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.
Citation - WoS: 3
Citation - Scopus: 3
Analyzing the Multi-State System Under a Run Shock Model
(Cambrıdge Unıv Press, 2024) Özkut, Cemal Murat; Kan, Cihangir; Franko, Ceki
A 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.
Citation - WoS: 33
Citation - Scopus: 40
Consecutive K-Within System With Exchangeable Components
(John Wiley & Sons Inc, 2009) Eryılmaz, Serkan; Kan, Cihangir; Akici, Fatih
As a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n:F system consists of n linearly ordered components Such that the system fails iff there are in consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k-within-m-out-of-n:F Systems with exchangeable components are studied. The bounds and approximations for the Survival function ire provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The result.,; are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. (C) 2009 Wiley Periodicals, Inc. Naval Research Logistics 56: 503-510, 2009
Citation - WoS: 12
Citation - Scopus: 15
Dynamic Reliability Evaluation of Consecutive-K System
(Taylor & Francis Inc, 2011) Eryılmaz, Serkan; Kan, Cihangir
A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.
On the Coherent Systems Subject To Marshall-Olkin Type Shocks
(2020) Ozkut, Murat; Kan, Cihangir
Citation - WoS: 4
Citation - Scopus: 5
Reliability and Some Characteristics of Circular Consecutive-K System
(Taylor & Francis Inc, 2014) Kan, Cihangir; Franko, Ceki; Ozkut, C. Murat
A system can be classified with respect to the physical arrangement of its components and the functioning principle. A circular consecutive k-within-m-out-of-n:F system consists of n circularly ordered components and fails if and only if there are m consecutive components that include among them at least k failed components. A circular consecutive k-within-m-out-of-n:F system turns into circular consecutive k-out-of-n:F for m = k and k-out-of-n:F system for m = n. In this study, signature-based analysis of circular consecutive k-within-m-out-of-n:F system is performed. A new approximation to this system is provided based on maximum number of failed components and an illustrative example is given for different values of n, m, k to compare the approximate results with simulated and exact results.
Citation - WoS: 18
Citation - Scopus: 20
Reliability of Coherent Systems With a Single Cold Standby Component
(Elsevier, 2015) Franko, Ceki; Özkut, Cemal Murat; Kan, Cihangir
In 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.
The Signature of Coherent Systems and Its Application To Consecutive K-Within Systems
(İzmir Ekonomi Üniversitesi, 2009) Kan, Cihangir; Eryılmaz, Serkan
Uyumlu sistemlerin imzası; sistemlerin güvenilirlik karakteristiklerinin incelenmesi,rekabet eden sistemlerin performanslarının karşılaştırılması gibi birçokalanda kullanılabilen önemli bir kavram olmuştur. n'den k'lı:F ve ardıl n'denk'lı:F sistemlerin genellemesi olan ve ardıl n'den m içinde k'lı:F sistem olarakadlandırılan sistem n bileşenden oluşmakta ve ardışık m bileşenden en az ktanesinin bozulması durumunda bozulmaktadır. Bu çalışmada; simetrik bağımlıbileşenlerden oluşan ardıl n'den m içinde k'lı:F sistemlerin güvenilirlik özellikleriçalışılmaktadır. İlgili sistemin güvenilirlik fonksiyonu için sınırlar ve yaklaışımlarbulunmuştur. Sistem imzasının Monte Carlo tahmin edicisi elde edilmiş ve butahmin edici güvenilirlik fonksiyonunun yaklaşık değerini elde etmek için kullanılmıştır.Elde edilen sonuçlar çok değişkenli Pareto dağılımı ile örneklenmiştir.
Signature-Based Reliability Analysis of Systems
(İzmir Ekonomi Üniversitesi, 2015) Kan, Cihangir; Bayramoğlu, İsmihan; Eryılmaz, Serkan
Sistem imzası kavramı, sistemlerin karakteristiklerinin güvenilirlik değerlendirmesini ve hesaplama sistemlerinin performans karşılaştırmasını içeren çeşitli uygulamalarda kullanılabilecek yararlı bir araçtır. Bu tezde, sistem imzası kavramı dahilinde genelleştirilmiş ardıl sistemlerin güvenilirlik karakteristiklerini çalışılmayı amaçlamaktayız. Bu çalışma kapsamında, sistemlerin güvenilirlik karakteristiklerine yönelik imzaya dayalı ifadeler elde edilecek ve özellikleri araştırılacaktır. Farklı sistemlerin stokastik karşılaştırması ayrıca bu çalışma kapsamına dahil edilecektir. Genelleştirilmiş sistemin tam güvenilirlik oranını hesaplayan kombinasyonel formül bu çalışmada sunulmuştur. Sistem imzası kullanılarak yapılan analizler tablolarla görselleştirilmiş ve sayısal değerler verilmiştir.