ON NORMALIZATION CONSTANTS FOR CLOSED QUEUING-NETWORKS WITH FINITE LOCAL BUFFERS

We present new closed form solutions for partition functions used to n ormalize the steady-state flow balance equations of certain Markovian type queueing networks. The results focus on single class closed produ ct form networks with state space constraints at the queueing stations . They are achieved by combining the partition function of the open ne twork, having finite local buffers with a delta function in order to f ix the number of customers in the system.