Deparment of Mathematics ,MJP Rohilkhand University Bareilly UP India

1Deparment of Mathematics ,Bareilly College  Bareilly UPIndia

 In this paper, we propose and analyze production form solutions open and closed networks of queues. Simple analytical results are usually only possible for Markovian queueing networks. We will start by establishing the product form solution for the equilibrium state probabilities for such network. The existence of the product form solution basically nears that the joint state probability can be expressed as a simple product of function associated with a networks individual queues. We generalized the families of queueing network known to have the product form solution.