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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.

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Keywords

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