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On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule

Cilt: 30 Sayı: 2 31 Ağustos 2025
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On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule

Öz

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.

Anahtar Kelimeler

Availability, Consecutive-k-out-of-n:F repairable system, Geometric distribution, Monte Carlo simulation, Priority repair rule

Kaynakça

  1. Ascher, H., & Feingold, H. (1984). Repairable systems reliability. New York: M. Dekker.
  2. Barbu, V. S., & Limnios, N. (2008). Reliability of semi-Markov systems in discrete time: Modeling and estimation. In K. B. Misra (Ed), Handbook of performability engineering (pp. 369-380). Springer. https://doi.org/10.1007/978-1-84800-131-2_24
  3. Barlow, R. E., & Proschan, F. (1965). Mathematical theory of reliability. Wiley-Interscience.
  4. Barlow, R. E., & Proschan, F. (1975). Statistical theory of reliability and life testing: Probability models. Holt, Rinehart and Winston.
  5. Bhattacharya, S. K., & Kumar, S. (1985). Discrete life testing. IAPQR Transactions, 13, 71-76.
  6. Caballéa, N. C., & Castro, I. T. (2018). Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures. Reliability Engineering & System Safety, 41, 255-290. https://doi.org/10.1007/s00291-018-0521-7
  7. Chao, M.T., Fu, J.C., & Koutras, M.V. (1995). Survey of reliability studies of consecutive-k-out-of-n:F and related systems. IEEE Transactions on Reliability, 44, 120–127. https://doi.org/10.1109/24.376531
  8. Cheng, K., & Zhang, Y. L. (2001). Analysis for a consecutive-k-out-of-n:F repairable system with priority in repair. International Journal of Systems Science, 32(5), 591-598. https://doi.org/10.1080/00207720119474
  9. Chiang, D.T., & Niu, S. (1981). Reliability of consecutive-k-out-of-n:F. IEEE Transactions on Reliability. 30. 87–89. https://doi.org/10.1109/TR.1981.5220981
  10. Elsayed, E. A. (2012). Reliability engineering. John Wiley & Sons.

Kaynak Göster

APA
Demir Atalay, S., Kozan, A., & Kuş, G. (2025). On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 30(2), 555-571. https://doi.org/10.53433/yyufbed.1592928
AMA
1.Demir Atalay S, Kozan A, Kuş G. On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule. YYUFBED. 2025;30(2):555-571. doi:10.53433/yyufbed.1592928
Chicago
Demir Atalay, Sevcan, Agah Kozan, ve Gözde Kuş. 2025. “On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 (2): 555-71. https://doi.org/10.53433/yyufbed.1592928.
EndNote
Demir Atalay S, Kozan A, Kuş G (01 Ağustos 2025) On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 2 555–571.
IEEE
[1]S. Demir Atalay, A. Kozan, ve G. Kuş, “On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule”, YYUFBED, c. 30, sy 2, ss. 555–571, Ağu. 2025, doi: 10.53433/yyufbed.1592928.
ISNAD
Demir Atalay, Sevcan - Kozan, Agah - Kuş, Gözde. “On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30/2 (01 Ağustos 2025): 555-571. https://doi.org/10.53433/yyufbed.1592928.
JAMA
1.Demir Atalay S, Kozan A, Kuş G. On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule. YYUFBED. 2025;30:555–571.
MLA
Demir Atalay, Sevcan, vd. “On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 30, sy 2, Ağustos 2025, ss. 555-71, doi:10.53433/yyufbed.1592928.
Vancouver
1.Sevcan Demir Atalay, Agah Kozan, Gözde Kuş. On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule. YYUFBED. 01 Ağustos 2025;30(2):555-71. doi:10.53433/yyufbed.1592928