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  • Article
    Citation - WoS: 21
    Citation - Scopus: 24
    Optimization Problems for a Parallel System With Multiple Types of Dependent Components
    (Elsevier Sci Ltd, 2020) Eryilmaz, Serkan; Ozkut, Murat
    This 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: 5
    Citation - Scopus: 6
    Parallel and Consecutive-k-out-of-n< Systems Under Stochastic Deterioration
    (Elsevier Science inc, 2014) Eryilmaz, Serkan
    In this paper, we study parallel and consecutive-k-out-of-n:F systems consisting of components which are subject to random deterioration with time. The random deterioration in resistance of a component is defined through a stochastic process. We obtain lifetime distribution of a parallel system via classical probabilistic techniques. The lifetime distribution of a consecutive-k-out-of-n:F system is derived using the lifetime distribution of parallel systems and the concept of maximal signature. We also study the optimal replacement time for a parallel system. We present illustrative computational results using MATHCAD. (C) 2013 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Age Replacement Policy for Heterogeneous Parallel Systems
    (Elsevier, 2024) Ozdemir, Irem Bulanik; Kilicoglu, Sevval; Eryilmaz, Serkan
    The optimization policy on age replacement mostly focuses on systems comprised of identical components. In this paper, both discrete and continuous time age replacement policies are considered by relaxing the assumption of identical components and working with heterogeneous parallel system, i.e. system with not necessarily identical components. In particular, necessary conditions are obtained for the existence and uniqueness of optimal replacement cycle/time for the parallel system with two nonidentical components under the proposed policy. The extension of the results to a system with more than two components is also presented.(c) 2023 Elsevier B.V. All rights reserved.