Analysis for a Repairable -of <i>k</i>-out-of-<i>n:F</i> Systems via Order Statistics
Keywords:Laplace transform, order statistics, mean time to first failure, exponential distribution.
In this paper, k-out-of-n : F repairable system is studied. The times between consecutive two machines are obtained using order statistics. Using these obtained times the system reliability is given with Laplace transform. Also the mean time to first failure is obtained.Â
Arulmozhi, G., (2002). Exact Equation and an Algorithm for Reliability Evaluation of k-out-of-n:G System. Reliability Engineering and System Safety, 78, 87-91.
Bhattacharyya, G.K., Johnson, R.A., (1974). Estimation of Reliability in a Multi-Component Stress- Strength Model. J. Amer. Statist. Assoc., 69, 966-970.
Boland, B.P., Proschan, F., (1983). The Reliability of k out of n Systems. The Annals of Probability, 11, 760-764.
Candra, S., Owen, D., (1975). On Estimating the Reliability of a Component Subject to Several Different Stresses (Strengths). Naval Res. Log. Quart, 22, 31-40.
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.
El-Damcese, M.A., El-Sodany, N.H., (2014). Avaibility and Reliability Analysis for the k-out-of-n:G System with three Failures using Markov Model. International Journal of Scientific & Engineering Research, 5, 383-389.
EryÄ±lmaz, S., (2013). On Reliabiliy Analysis of a k-out-of-n System with Components Having Random Weights. Reliability Engineering and System Safety, 109, 41-44.
Gokdere, G.,Gurcan, M., KÄ±lÄ±Ã§, M.B. (2016). A New Method for Computing the Reliability of Consecutive k-out-of-n:F Systems, Open Phys., 14, 166-170.
Gokdere, G., Gurcan, M. (2016). New Reliability Score for Component Strength using Kullback-Leibler Divergence. Journal the Polish Maintenance Society â€“ â€œEksploatacja i NiezawodnoÅ›Ä‡ â€“ Maintenance and Reliabilityâ€ , 18(3), 367-372.
Hanagal, D., (1999). Estimation of System Reliability. Statistical Papers, 40, 99-106.
Kuo, W., Zuo, M.J., (2003). Optimal Reliability Modelling: Principles and Applications. New York: Jhon Wiley&Sons.
Zhang, Y.L., Zuo, M.J., Yam, R.C.M., (2000). Reliability analysis for a circular consecutive-2-out-of-n:F repairable system with priority in repair. Reliability Engineering and System Safety, 68, 113â€“120
How to Cite
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.