C. Franko's research while affiliated with Izmir University of Economics and other places
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Publications (5)
System signature is a useful tool to analyze coherent systems. In reliability theory a large number of systems is actually the composition of disjoint subsystems (modules). However in real life there are situations in which the subsystems have common components. In this article we consider the problem of obtaining signatures as well as minimal sign...
In this article, the influence of a cold standby component to the reliability of weighted k-out-of-n: G systems consisting of two different types of components is studied. Weighted k-out-of-n: G systems are generalization of k-out-of-n systems that has attracted substantial interest in reliability theory because of their various applications in eng...
In this paper, an exact formulation for computing reliability of weighted k-out-of-n:G systems using system signature is presented. Some component importance measures are computed. Moreover, reliability and some important reliability indices of repairable weighted k-out-of-n:G system are derived via system signature. A real life case of weighted k-...
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.
Citations
... Zhao et al. Zhao et al. (2019) proposed a method to estimate the system life and the residual life of a system. Roy and Gupta Roy and Gupta (2021) discussed reliability properties of a K-out-of-N system equipped with two cold standby components. Chen and Yang Chen and Yang (2005) discussed two stage weighted K-out-of-N model with common component. Franko et al. Franko et al. (2017) discussed the reliability of a weighted K-out-of-N system consisting two different types of components with a cold standby component. Similar more studies based on K-out-of-N can be found in the literature, see Eryilmaz Eryilmaz (2013), Cui and Xie Cui and Xie (2005) and Zhao and Cui Zhao and Cui (2010). ...
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... In the special case when w 1 = w 2 = · · · = w n = 1, the system reduces to ordinary k-out-of-n system. Franko and Tütüncü (2015) have presented a formula for assessing the reliability of weighted k-out-of-n systems based on the signature. They have shown that the reliability function of the system can be presented as a mixture of the reliability functions of the ordered component lifetimes in which the ith element of the signature vector is where r i (n), i = 1, 2, ..., n, denotes the number of path sets including precisely i working components in the system. ...
... To overcome this problem, the concept of the signature of the reliability of the coherent system is recommended. (see, Eryilmaz (2014), Franko et al. (2015)). Following discussion are come up with inspired by both works of Shaw and Buckley (2007) and Yilmaz et al. (2015). ...
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