Madhu Jain

MATHEMATICS, I.I.T. ROORKEE

[ 1 ] - Maintainability Policy for Deteriorating System with Inspection and Common Cause Failure (TECHNICAL NOTE)

A condition based preventive and corrective maintenance policy is proposed for a continuously operating system. The condition of the system is assumed to deteriorate with time. The model incorporates both deterioration as well as random common cause failures. The deterioration stages are modeled as discrete state processes. The system is put to random inspection to know the condition. The mean ...

[ 2 ] - Working Vacation Queue with Second Optional Service and Unreliable Server

An M/M/1 queueing system with second optional service and unreliable server is studied. We consider that the server works at different rate rather than being idle during the vacation period. The customers arrive to the system according to Poisson process with state dependent rates depending upon the server’s status. All customers demand the first essential service whereas only some of them dema...

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