Discrete time open queueing networks with feedback, bulk arrivals and services

An open queueing network system of N nodes with Geo(A/sub i/) input and Geo(S/sub i/) service at every node is studied. Geo(A/sub i/) and Geo(S/sub i/) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(A/sub i/)/Geo(S/sub i/)/1. Then the author looks for a configuration of the network which is product form solution compatible. Lastly, the necessary and sufficient condition for an open Markovian queueing network of N nodes to have a solution of product form is proved. A certain number of open Markovian queueing networks which have a solution of product form are found.<
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