Statistical Reliability Evaluation of a k-out-of-n: G System Subject to Competing Failure Process

Abstract

Many systems in real life can experience failure in two categories such as a soft failure process or a catastrophic failure process. Therefore, failure processes are competing since either failure can cause the system to fail. In this study, a reliability analysis of a k-out-of-n G system which is exposed to a competing failure process is investigated based on different distribution assumptions for a shock magnitude, a damage size, and a wear volume due to continuous degradation. Besides, unlike the research in this field, in a more statistical frame, the reliability results are also examined in detail by considering normal distribution assumption. The reliability results are discussed based on a change in parameters, number of shocks and time. Graphical illustrations are also provided to observe the parameter effects explicitly on the reliability of the system.

Keywords

• Competing failure process
• Shock models
• Reliability analysis
• Gamma distribution
• k out of n system

Rakip Bozulma Süreçlerine Maruz Kalan bir n'den k çıkışlı: G Sistemine ait İstatistiksel Güvenirlik Değerlendirmesi

Abstract

Gerçek hayatta birçok sistem, yıkıcı olmayan bozulma veya yıkıcı bozulma süreçleri gibi bozulmaları iki kategoride deneyimleyebilirler. Her iki arıza da sistemin bozulmasına sebep olabileceğinden arıza süreçleri rekabet halindedir. Bu çalışmada, rakip bozulma süreçlerine konu olan şok büyüklüğü, hasar boyutu, sürekli bozulmaya sebep olan aşınma hacmi için farklı dağılım varsayımlarına dayalı n’den k çıkışlı G sistem yapısının güvenilirlik analizine yer verilmektedir. Bunun yanında, bu alandaki çalışmalardan farklı olarak, güvenilirlik sonuçları normal dağılım varsayımı altında istatistiki açıdan daha ayrıntılı olarak incelenmiştir. Güvenilirlik sonuçları şok sayısı, zaman ve parametrelerdeki değişim dikkate alınarak tartışılmıştır. Sistem güvenilirliği üzerindeki parametre etkilerini açık bir şekilde gözlemlemek için sonuçlar ayrıca grafikler ile de sunulmuştur.

Keywords

• Rakip bozulma süreçleri
• Şok modelleri
• n den k çıkışlı sistem
• Güvenilirlik analizi
• Gamma dağılımı

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