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Stochastic Modeling of a System with Maintenance and Replacement of Standby Subject to Inspection
American Journal of Theoretical and Applied Statistics
Volume 4, Issue 5, September 2015, Pages: 339-346
Received: Jul. 2, 2015; Accepted: Jul. 21, 2015; Published: Aug. 5, 2015
Authors
R. K. Bhardwaj, Department of Statistics, Punjabi University, Patiala, India
Komaldeep Kaur, Department of Statistics, Punjabi University, Patiala, India
S. C. Malik, Department of Statistics, MD University, Rohtak, India
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Abstract
The present paper develops a probabilistic model of a cold standby system considering the failure of unit in standby mode. Initially the model contains one unit in operation and another identical in cold standby mode. The unit in cold standby mode fails after passage of pre specified time and goes under inspection for feasibility check for maintenance or replacement, whereas the operative unit directly goes under repair at its failure. A single service facility available in the system handles the tasks of repair, inspection, maintenance or replacement. The replacement of unit in standby mode, at its failure, takes some time; that follows certain probability distribution. The theory of semi-Markov processes and regenerative point technique are used to develop and analyze the system model. For illustration, the results are obtained for a particular case.
Keywords
Cold Standby, Inspection, Maintenance, Replacement Time, Semi-Markov Process, Probability Distribution
R. K. Bhardwaj, Komaldeep Kaur, S. C. Malik, Stochastic Modeling of a System with Maintenance and Replacement of Standby Subject to Inspection, American Journal of Theoretical and Applied Statistics. Vol. 4, No. 5, 2015, pp. 339-346. doi: 10.11648/j.ajtas.20150405.14
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