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Serkan Eryilmaz
Atılım University
170Publications
23H-index
1,917Citations
Publications 170
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#1Fatih Tank (Atılım University)H-Index: 4
#2Serkan Eryilmaz (Atılım University)H-Index: 23
Abstract The study of compound sums have always been very popular in the literature. Many models in insurance and engineering have been represented and solved by compound sums. In this paper, two different bivariate compound sums are proposed and studied. The phase-type distribution is applied to obtain the probability generating function of the bivariate sum.
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#1Serkan Eryilmaz (Atılım University)H-Index: 23
#2Ali Riza Bozbulut (Scientific and Technological Research Council of Turkey)H-Index: 1
The reliability of a weighted-k-out-of-n system that consists of three-state components is studied. The system is assumed to comprise n three-state components, namely, perfect functioning, partial ...
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#1Serkan Eryilmaz (Atılım University)H-Index: 23
#2Cihangir Kan (Xi'an Jiaotong-Liverpool University)H-Index: 4
Abstract An extreme shock model when there is a change in the distribution of the magnitudes of shocks is defined and studied. Such a model is useful in practice since a sudden change in environmental conditions may cause a larger shock. In particular, the reliability and mean time to failure of the system is obtained by assuming that the times between arrivals of shocks follow phase-type distribution. The optimal replacement policy that is based on a control limit is also proposed. The results ...
1 CitationsSource
#1Min Gong (USTC: University of Science and Technology of China)H-Index: 1
#2Serkan Eryilmaz (Atılım University)H-Index: 23
Last.Min Xie (CityU: City University of Hong Kong)H-Index: 64
view all 3 authors...
Reliability assessment of system suffering from random shocks is attracting a great deal of attention in recent years. Excluding internal factors such as aging and wear-out, external shocks which l...
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#1Serkan Eryilmaz (Atılım University)H-Index: 23
#2Yılser Devrim (Atılım University)H-Index: 18
Abstract Consider a k-out-of-n system which is subject to shocks that occur at random times. Each shock causes failure of random number of components, and hence the system’s lifetime corresponds to one of the arrival times of shocks. The reliability and mean time to failure of the system are studied when the times between shocks follow a phase type distribution. The optimal replacement time problem which is concerned with the minimization of the total long-run average cost per unit time is also ...
4 CitationsSource
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, ..
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ABSTRACTSeries and parallel systems consisting of two dependent components are studied under bivariate shock models. The random variables N1 and N2 that represent respectively the number of shocks ...
3 CitationsSource
#1Serkan Eryilmaz (Atılım University)H-Index: 23
#2Yılser Devrim (Atılım University)H-Index: 18
The wind power generated by a wind plant has a stochastic nature due to randomness in the wind speed. Although the empirical distribution of the wind power has been extensively studied by using data sets in different regions, several works focused on theoretical distribution of the wind power produced by wind turbines. In this paper, the theoretical distribution of the wind plant power is obtained. In the derivation of the distribution of the wind plant power, wind turbine reliability is taken i...
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#1Omer L. Gebizlioglu (KHU: Kadir Has University)H-Index: 3
#2Serkan Eryilmaz (Atılım University)H-Index: 23
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#1Serkan Eryilmaz (Atılım University)H-Index: 23
#2Mustafa Tekin (Gazi University)H-Index: 1
Abstract A new mixed shock model is introduced and studied. According to the model, for two fixed critical values d 1 and d 2 such that d 1 d 2 , the system under concern fails upon the occurrence of k consecutive shocks of size at least d 1 or a single large shock of size at least d 2 . The new model combines run and extreme shock models. Reliability properties of the system are studied under two cases: when the interarrival time X i between the ( i − 1 ) th and i th shock, and the magnitude of...
1 CitationsSource
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