Stochastic Analysis of Two Identical Unit Warm Standby System with Varying Demand of Production
Pradeep K. Joshi *
School of Computers, IPS Academy, Indore - 452012, India.
Chitaranjan Sharma
Govt. Autonomous Holkar Science College, Indore, India.
*Author to whom correspondence should be addressed.
Abstract
This paper study the two unit warm stand by system in which the demand of items increases arbitrarily for some random amount of duration. Whenever demands of items to which the machines are producing is heavy the standby unit also starts operation and when the demand becomes Normal, the standby unit which is in operation comes into standby mode. Failure of the standby unit remains undetected therefore the standby unit is inspected at random intervals of time. The failure can also be detected at the time of need of standby unit to become operative. If the standby unit is found to be failed in the inspection then it is sent for repair immediately. Failure time distribution for both operative and standby units are assumed to be negative exponential. Regenerative point techniques with markov renewal process is used to obtain various reliability characteristics of system. Repair time distribution of units failed during operation and standby position are same and assumed to be general.
Keywords: Reliability, repair time, transition probability, regenerative points, mean sojourn time, MTSF, availability, markov renewal process.