TY - JOUR T1 - On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule TT - Öncelikli Onarım Kuralı Kullanarak Tamir Edilebilir Ardıl n-den-k-çıkışlı:F Sisteminin Stokastik Analizi Üzerine Bir Çalışma AU - Kozan, Agah AU - Demir Atalay, Sevcan AU - Kuş, Gözde PY - 2025 DA - August Y2 - 2025 DO - 10.53433/yyufbed.1592928 JF - Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi JO - YYU JINAS PB - Van Yuzuncu Yıl University WT - DergiPark SN - 1300-5413 SP - 555 EP - 571 VL - 30 IS - 2 LA - en AB - In this paper, we study a repairable consecutive-k-out-of-n:F system under the assumption that the failure and repair times of the components follow a geometric distribution. The reliability and availability characteristics of the system are obtained by evaluating transition state probabilities instead of steady state probabilities. Furthermore, the priority repair rule is applied to repair the components. A simulation study was carried out to compare the theoretical results. In order to make inferences about the system, various numerical results are obtained and these results are presented in tables and figures. KW - Availability KW - Consecutive-k-out-of-n:F repairable system KW - Geometric distribution KW - Monte Carlo simulation KW - Priority repair rule N2 - Bu makalede, bileşenlerin arıza ve onarım sürelerinin geometrik dağılıma uyduğu varsayımı altında tamir edilebilir ardıl n-den-k-çıkışlı:F sistemi incelenmiştir. Sisteminin güvenilirlik ve kullanılabilirlik özellikleri, kararlı durum olasılıkları yerine geçiş durum olasılıkları değerlendirilerek elde edilmiştir. Ayrıca, bileşenlerin onarımında öncelikli onarım kuralı uygulanmıştır. Teorik sonuçların elde edilmesi ve teorik olarak elde edilen sonuçların karşılaştırılması aşamasında bir simülasyon çalışması gerçekleştirilmiştir. 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