Stochastic analysis of k-out-of-n: G Type of Repairable system in Combination of Subsystems with Controllers and Multi Repair Approach
Subject Areas : Business Administration
1 - Department of Mathematics
Yusuf Maitama Sule University, Kano, Nigeria
2 - Department of General Requirement, Sur College of Applied
Sciences, Sur, Oman
Keywords:
Abstract :
Bai, D.S., Yun, W.Y., & Chung, S.W. (1991). Redundancy optimization of k-out-of-n systems with common-cause failures. IEEE Transactions on Reliability, 40(1), 56-59.
Cox, D.R. (1955). The analysis of non-Markov stochastic processes by the inclusion of supplementary variables. Mathematical Proceedings of the Cambridge Philosophical Society, 51(3), 433-441.
Davoudpour, H. (2019). A hierarchical Bayesian network to compare maintenance strategies based on cost and reliability: a case of onshore wind turbines. International Journal of Industrial Engineering: Theory, Applications, and Practice, 26(3), 1-11.
El-Damcese, M.A., & El-Sodany, N.H. (2014). Availability and Reliability Analysis for the k-out-of-n: G system with Three Failures using Markov Model. International Journal of Scientific & Engineering Research, 5(12), 383-389.
Fawzi, B.B., & Hawkes, A.G. (1991). Availability of an r-out-of-n system with spares and repairs. J. Appl. Probab., 28(2), 397-408.
Galikowsky, C., Sivazlian, B.D., & Chaovalitwongse, P. (1996). Optimal redundancies for reliability and availability of series systems. Microelectron Reliability, 36(10), 1537-1546.
Goel L.R., & Gupta, P. (1984). Stochastic analysis of a two-unit parallel system with partial and catastrophic failures and preventive maintenance. Microelectron Reliability, 24(3), 881-883.
Jieyu, S., & Pecht, M.G. (1992). Reliability of a k-out-of-n Warm-Stand by the system. IEEE Transactions on Reliability, 41(1), 72-75.
Kullstam, P.A. (1981). Availability, MTBF, MTTR for the repairable m-out-of-n system. IEEE Transactions on Reliability, R-30(4), 393-394
Kumar, A., Pant, S., & Singh, S.B. (2017). Availability and cost analysis of an engineering system involving subsystems in a series configuration. International Journal of Quality & Reliability Management, 34(6), 879-894.
Kumar, P., & Gupta, R. (2007). Reliability analysis of a single unit M|G|1 system model with helping unit. J. of Comb. Info. & System Sciences, 32(1-4), 209-219.
Lado, A.K., Singh, V.V., Kabiru, H.I., & Yusuf, I. (2018). Performance and cost assessment of the repairable complex system with two subsystems connected in a series configuration. International Journal of Reliability and Applications, 19(1), 27-42.
Levitin, G. (2001). Incorporating common-cause failures into non-repairable multi-state series-parallel system analysis. IEEE Transactions on Reliability, 50, 380–388.
Liang, X., Xiong, Y., & Li, Z. (2010). Exact reliability formula for consecutive k-out-of-n repairable systems. IEEE Transactions on Reliability, 59(2), 313-318.
Lin, Y.K., Huang, C.F., Lin, J.S., & Li, S.Y. (2019). Evaluation of system reliability for a freeway system with stochastic speed. International Journal of Industrial Engineering, 26(1), 12-33.
Moustafa, M.S. (1996). Availability of k-out-of-n: G systems with M failure modes. Microelectron Reliability, 36, 385-388.
Moustafa, M.S. (1996). Transient analysis of reliability with and without repair for the k-out-of-n system with two failure modes. Reliability Engineering and System Safety, 53, 31-35.
Ogata, K. (2009). Modern control engineering. 5th edition, Prentice Hall Publisher, ISBN-10: 0136156738, ISBN-13: 9780136156734.
Oliveira, E.A., Alvim, A.C.M., & Melo, P.F.F. (2005). Unavailability analysis of safety systems under aging by supplementary variables with the imperfect repair. Annals of Nuclear Energy, 32(2), 241-252.
Raghav, D., Poonia, P.K., Gahlot, M., Singh, V.V., Ayagi, H.I., & Abdullahi, A.H. (2020). Probabilistic analysis of a system consisting of two subsystems in the series configuration under copula repair approach. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math, 27(3), 137-155.
Ram, M., & Singh, S.B. (2008). Availability and Cost Analysis of a parallel redundant complex system with two types of failure under preemptive- resume repair discipline using Gumbel-Hougaard family copula in repair. Int. J. Reliability., Quality Safety Eng., 15(4), 341–365.
Sharma, R., & Kumar, G. (2017). Availability improvement for the successive k-out-of-n machining system using standby with multiple working vacations. International Journal of Reliability and Safety, 11(3/4), 256-267.
Singh, V.V., & Ram, M. (2014). Multi-state k-out-of-n; type system analysis. Mathematics in engineering, science, and aerospace, 5(3), 281-292.
Singh, V.V., Gahlot, M., Ayagi, H.I., & Goel, C.K. (2018). Performance assessment of repairable system in the series configuration under different types of failure and repair policies using copula linguistics. Int. J. Reliability and Safety, 12(4), 348–363.
Singh, V.V., Poonia, P.K., & Abdullahi, A.H. (2020). Performance analysis of a complex repairable system with two subsystems in a series configuration with an imperfect switch. J. Math. Comput. Sci., 10(2), 359-383.
Singh, V.V., Ram, M., & Rawal, D.K. (2013a). Cost Analysis of an Engineering System involving subsystems in Series Configuration. IEEE Transactions on Automation Science and Engineering, 10, 1124-1130.
Singh, V.V., Singh, S.B., Ram, M., & Goel, C.K. (2013). Availability, MTTF, and cost analysis of a system having two units in a series configuration with the controller. International Journal of System Assurance and Management, 4(4), 341–352.
Yam, R.C.M., Zuo, M.J., & Zhang, Y. (2003). A method for evaluation of reliability indices for repairable circular consecutive-k-out-of-n: F-systems. Reliability Engineering and System Safety, 79(1), 1-9.
