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

Abstract

In the reliability analysis, when it is obtained the reliability of repairable consecutive-k-out-of-n system, the components 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, with different failure rates. The time required to repair is an exponential random variable and each component after fix is as durable as new. In this paper, we improved a model for the state transition probability of this repairable system when components have unequal probability of failure. The system mean time to first failure was also studied.

Keywords

• Repairable consecutive system
• Markov process
• Mean time to first failure

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

Abstract

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 geliştirilmiştir. Ayrıca sistemin ilk ortalama arızalanma süreside incelenmiştir.

Keywords

• Tamir edilebilir ardışık sistem,
• Markov süreci,
• İlk ortalama arızalanma süresi.

Supporting Institution

Yok

References

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