2010

Ardıl-k Sistemler için Önerilen Güvenilirlik Sınırlarının Karşılaştırılması

Hızla gelişen teknolojik gelişmeler, birçok karmaşık yapıya sahip sistemlerin ortaya çıkmasına neden olmuştur. Ortaya çıkan bu sistemler, hem karmaşık yapıda hem de yüksek boyutlu bileşenlerden oluştuğu için bu sistemlerin tam güvenilirliklerini hesaplamak her zaman kolay olmamaktadır. Tam güvenilirlik değerlerinin hesaplanması zor ya da mümkün olmayan sistemlerin güvenilirliklerinin belirlenmesi için araştırmacılar, güvenilirlik sınırları kavramını geliştirmişlerdir. Bu çalışmada, ardıl-? sistemler olarak bilinen ?-den ardıl ?-çıkışlı sistemler için önerilen sınır yaklaşım yöntemlerinin karşılaştırılması amaçlanmıştır. Bu doğrultuda hem söz konusu sistemleri oluşturan bileşenlerin diziliş şekillerine göre doğrusal ve dairesel olarak hem de başarılı ve hatalı olma durumlarına göre adlandırılan sistemler incelenmiştir. Önerilen yöntemlerin bazı ?, ? ve ? (?) değerleri için elde edilen sonuçları, tam güvenilirlik değerleriyle karşılaştırılarak tablolar halinde verilmiştir. Buradan elde edilen sonuçlardan güvenilirlik sınırlarının, sadece ? ve ? değerlerine bağlı olmayıp aynı zamanda ?’nin seçildiği aralığa da bağlı olduğu belirlenmiştir.

Comparison of the Recommended Reliability Bounds for Consecutive-k Systems

Rapidly developing technological developments have led to the emergence of systems with many complex structures. It is not always easy to calculate the exact reliability of these systems since these systems are composed of both complex and high-dimensional components. In order to determine the reliability of systems, which are difficult or impossible to calculate exact reliability values, researchers have developed the concept of reliability bounds. In this study, it is aimed to compare the boundary approximation methods proposed for consecutive-?- out-of-? systems, known as consecutive-? systems. In this direction, systems that are named both linear and circular according to the arrangement of the components that make up the said systems and according to their good and failure conditions were examined. The results obtained for some ?, ? and ? (?) values of the proposed methods are given in tables by comparing them with exact reliability values. From the results obtained here, it was showed the bounds of reliability are not only dependent on the ? and ? values, but also on the range from which ? is chosen.

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