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Stochastic Analysis of a Repairable Cold Standby System Attacked by Poisson Shocks Considering Inspection and Post Repair

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 132 - Number 11
Year of Publication: 2015
Authors:
M.A.W. Mahmoud, A.M. Rashad, Z.M. Hussien
10.5120/ijca2015907578

M A W Mahmoud, A M Rashad and Z M Hussien. Article: Stochastic Analysis of a Repairable Cold Standby System Attacked by Poisson Shocks Considering Inspection and Post Repair. International Journal of Computer Applications 132(11):33-40, December 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {M.A.W. Mahmoud and A.M. Rashad and Z.M. Hussien},
	title = {Article: Stochastic Analysis of a Repairable Cold Standby System Attacked by Poisson Shocks Considering Inspection and Post Repair},
	journal = {International Journal of Computer Applications},
	year = {2015},
	volume = {132},
	number = {11},
	pages = {33-40},
	month = {December},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

This paper investigated the stochastic analysis of two-dissimilar unit cold standby system considering repair, inspection, post repair under Poisson shocks. The serverman, is called when the operative unit fails. The shocks can attack the operative unit. The repaired unit is sent for inspection to decide whether the repair is satisfactory. If the repair is found unsatisfactory, then the unit is again sent for post repair. Some reliability measures of the system such as system reliability, mean time to system failure (MTSF) and steady state availability are derived. Graphical representations are presented to illustrate the theoretical results.

References

  1. Abdul Ameer Al-Ali and Murari K. One unit reliability system subject to random shocks and preventive maintenance. J.microelectron. Reliab., 28(3):373–377, 1988.
  2. Shengqiang Chen, Xianyun Meng, and Yutian Chen. Analysis of a cold standby system with an unreliable repair facility and vacation under poisson shocks. Journal of Information & Computational Science, 11(4):1217–1224, 2014.
  3. S. K. Chhillar, S. C. Malik, and J. Nandal. Analysis of a system reliability model subject to degradation and random shocks. International Journal of Statistics and Applications, 3(3):64–70, 2013.
  4. Ahmed Khayar. Coast analysis of two-sililar-unit cold standby system with three states under human failure using first order linear differential equations. Pinnacle Engineering & Technology, 2(2):1–8, 2014.
  5. Renbin Lin, Zaiming Liu, and Yong Wu. Analysis of a repairable system with an unreliable repair facility and a single vacation. journal of information & computational science, 8(10):1949–1957, 2011.
  6. Haitao liu, Xianyn meng, and Wenjuan Wu. The cold standby system with repair of non-new and repairman vacation. Journal of Computational Information Systems, 8(4):1349–1357, 2012.
  7. Wenjuan LIU, Xianyun MENG, Xinxin ZHANG, Shengqiang CHEN, and Lijiao TAN. A cold standby repairable deteriorating system of three components with repairman vacation and priority. Journal of Computational Information Systems, 9(10):4031–4039, 2013.
  8. M.A.W Mahmoud and M.E. Moshref. On a two-unit cold standby system considering hardware, human error failures and preventive maintenance. Mathematical and computer modelling, 51(5-6):736–745, 2010.
  9. Yangli Ren, Lina Guo, and Lingling Zhang. Stability analysis of a repairable system with warning device and repairman vacation. Journal of Function Spaces and Applications, 2013(Article ID 674191):19 pages, 2013.
  10. Q. T. Wu and S. M. Wu. Reliability analysis of two-unit cold standby repairable systems under poisson shocks. Applied Mathematics and Computation, 218(1):171–182, 2011.
  11. Qingtai Wu. Reliability analysis of a cold standby system attacked by shocks. Applied Mathematics and Computation, 218:11654–11673, 2012.
  12. L. Yuan. Reliability analysis for a k-out-of-n:g system with redundant dependency and repairmen having multiple vacations. Applied Matheamtics and Computation, 218(24):11959–11969, 2012.
  13. L. Yuan and J. Xu. A deteriorating system with its repairman having multiple vacations. Applied Mathematics and Computation, 217(10):4980–4989, 2011.
  14. W. Z. Yuan and G. Q. Xu. Modelling of a deteriorating system with repair satisfying general distribution. Applied Mathematics and Computation, 218(11):6340–6350, 2012.

Keywords

Poisson shock, cold standby system, mean to system failure, steady state availability.