yyu jinas Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 1300-5413 2667-467X Van Yuzuncu Yıl University 10.53433/yyufbed.1592928 Statistical Theory İstatistiksel Teori Öncelikli Onarım Kuralı Kullanarak Tamir Edilebilir Ardıl n-den-k-çıkışlı:F Sisteminin Stokastik Analizi Üzerine Bir Çalışma On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule https://orcid.org/0000-0002-3117-0825 Demir Atalay Sevcan EGE ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ https://orcid.org/0000-0002-7387-9701 Kozan Agah EGE ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ https://orcid.org/0000-0003-1144-8372 Kuş Gözde EGE ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ 08 31 2025 30 2 555 571 11 29 2024 04 18 2025 Copyright © 1995, Yuzuncu Yil University Journal of the Institute of Natural and Applied Sciences 1995 Yuzuncu Yil University Journal of the Institute of Natural and Applied Sciences

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. Sisteme dair çıkarımlarda bulunmak amacı ile çeşitli sayısal sonuçlar elde edilmiş ve bu sonuçlar tablo ve şekillerle sunulmuştur.

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.

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