Farklı Hata Oranlı Doğrusal Ardışık n-den 2 Çıkışlı Tamir Edilebilir F Sistemin Analizi

Güvenilirlik analizinde, tamir edilebilir ardışık n-den k-çıkışlı sistemin güvenilirliği elde edilirken genellikle bileşenlerin eşit hata oranlarına sahip olduğu varsayılır. Uygulamada bu varsayım hatalı olabilir. Bu nedenden dolayı bu çalışmada her bir bileşenin ömrü farklı hata oranlarına sahip üstel tesadüfi değişken olarak ele alınmıştır. Tamir için gerekli süre üstel tesadüfi değişken olarak tanımlanmıştır ve tamirden sonra her bir bileşen yeni bir bileşen kadar iyi durumdadır. Bu çalışmada, bileşenlerin eşit olamayan hata olasılıklarına sahip olduklarında bu tamir edilebilir sistemin durum geçiş olasılıkları için bir model önerilmiştir. Ayrıca sistemin ilk ortalama arızalanma süresi de incelenmiştir.

Analysis of Linear Consecutive-2-out-of-n: F Repairable System with Different Failure Rate

In the reliability analysis, when the reliability of a repairable consecutive-k-out-of-n system is considered, thecomponents are generally supposed to have an equal failure rate. In practice, this assumption may fail. Therefore,in this paper it is adopted that the lifetime of each component are random variables, exponentially distributed, withdifferent failure rates. The time required to repair is an exponential random variable and each component afterrepair is as durable as new. In this paper, we proposed a model for the state transition probability of this repairablesystem when components have unequal failure rates. The system mean time to first failure was also studied.

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