Markov Process in Varying Value in Production by Machinery with Two Components

Abstract

In this paper production and availability of machinery for production are considered. Here a machinery of production with two components is considered and that production is full when the machinery is working with both the components functioning well. But there is a chance that the whole machinery may dysfunction because of failure of both components in which case the production comes to a standstill and it is worst crisis. The other possibility is that one of the components may fail but still the machine continues functioning but with less efficiency. The production may continue and if the other component also fails the production completely stops and the situation is critical. When the machine is in one component failure, the failed part may be a repaired and machine can be made to work with full efficiency. But when both components fail, should be renewed as a package and then the production should start. Under such conditions found the steady state probabilities and the rate of crisis and the expected cost of production.