IJPAM: Volume 80, No. 5 (2012)

RELIABILITY MODELING OF A COMPUTER SYSTEM
WITH PRIORITY TO S/W REPLACEMENT OVER
H/W REPLACEMENT SUBJECT TO MOT AND MRT

Ashish Kumar$^1$, S.C. Malik$^2$
$^1$Department of Statistics
Maharshi Dayanand University
Rohtak, 124001, INDIA
$^2$Department of Statistics
Maharshi Dayanand University
Rohtak, 124001, INDIA


Abstract. The present study deals with the reliability modeling of a computer system of two identical units-one is operative and other is kept as spare in cold standby. In each unit h/w and s/w components work together and fail independently. There is a single server who visits the system immediately to carry out repair activities of the units. The unit under goes for preventive maintenance after a maximum operation time directly from normal mode. The h/w components under go for repair at their failure and are replaced by new one in case these are not repaired up to a maximum repair time. However, only replacement facility is available for s/w components. Priority to s/w replacement in the unit is given over h/w replacement. The failure time distribution of the components follow negative exponential whereas the distributions of preventive maintenance, repair and replacement times are taken as arbitrary with different probability density functions. Several reliability indices have been obtained using semi-Markov and regenerative point technique. The graphs are drawn to highlight the behaviour of the results with respect to preventive maintenance rate.

Received: August 13, 2012

AMS Subject Classification: 90B25, 60K10

Key Words and Phrases: computer system, reliability model, preventive maintenance, maximum operation and repair times, priority and replacement

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5