The week's pick
Reseach Article
Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 176 - Number 19 |
| Year of Publication: 2020 |
| Authors: Mohamed S. El-Sherbeny, Elsayed Elshoubary |
10.5120/ijca2020920143
|
Mohamed S. El-Sherbeny, Elsayed Elshoubary . Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks. International Journal of Computer Applications. 176, 19 ( May 2020), 21-30. DOI=10.5120/ijca2020920143
Abstract
This paper studies the effectiveness of repairman on system consisting of two operating repairable units. The system fail due to external factor like Poisson shocks that occur in different times. The arrivals of the shocks follow a Poisson process and the magnitude of a shock is an independent random variable following a known distribution. Repair time, the length of repairman’s vacation and recall time are arbitrary distributions. Certain important results have been derived: the reliability, mean time to failure, steady-state availability and steady-state frequency of the system using supplementary variable technique. Special case is derived from the system.
References
- Li, Z. and Zhao, P. 2007. Reliability analysis on the-shock model of complex systems, IEEE Transactions on Reliability 56 (2) 340–348.
- El-Sherbeny. S. M. 2013. Stochastic analysis of a two non-identical unit parallel system with different types of failures subject to preventive maintenance and repairs. Hindawi Publishing Corporation Mathematical Problems in Engineering (Volume 2013).
- El-Sherbeny. S. M. 2012. Cost benefit analysis of series systems with mixed standby components and k-stage Erlang repair time. International Journal of Probability and Statistics.1 (2) 11-18.
- Mahmoud, M. A. W. and Moshref, M. E. 2010. On a two-unit cold standby system considering hardware, human error failures and preventive maintenance, Mathematical and Computer Modelling 51 (5–6)736–745.
- El-Sherbeny. S. M. 2010. The optimal system for series systems with mixed standby components. Journal of Quality in Maintenance Engineering 16 (3) 319-334.
- El-Sherbeny. S. M. 2012. Optimal system for warm standby components in the presence of standby switching failures, two types of failures and general repair time.International Journal of Computer Applications 44 (20).
- Doshi, B. T. 1986. Queueing systems with vacations – A survey, Queueing Systems 1 (1) 29–66.
- Ke. J. C. and Wang. K. H. 2007. Vacation policies for machine repair problem with two type spares, Applied Mathematical Modeling 31 (5) 880–894.
- Goel, L. R. and Shrivastava, P. 1992. Comparison of reliability characteristics of two (double component) systems with bivariate exponential lifetimes , Int. J. Systems Sci, Vol.23, No.1, 135–144.
- Jia, J. and Wu, S. 2009. A replacement policy for a repairable system with its repairman having multiple vacations, Computers and Industrial Engineering 57 (1) 156 –160.
- Yuan, L. and Xu, J. 2011. A deteriorating system with its repairman having multiple vacations, Applied Mathematics and Computation 217 (10) 4980–4989.
- Wu, Q. and Wu, S. 2011. Reliability analysis of two-unit cold standby repairable systems under Poisson shocks, Applied Mathematics and computation 218 171–182.
- Chen, Y., Meng, X. and Chen, S. 2014. Reliability analysis of a cold standby system with imperfect repair and under poisson shocks, Hindawi Publishing Corporation Mathematical Problems in Engineering, (Volume 2014), Article ID 507846, 11 pages.
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