Gideon Weiss, The University of Haifa.

We consider a Jackson network in which some of the nodes have an infinite supply of work: When all the customers queued at such a node have departed, the node will process a customer stored in an infinite virtual buffer. Such nodes will be processing jobs all the time, they will be fully utilized, and will experience traffic intensity of 1. We calculate flow rates for such networks, obtain conditions for stability, and investigate the stationary distributions: Standard nodes in this network continue to have product form distributions, while nodes with infinite supply of work have geometric marginal distributions and Poisson inflows and outflows.  

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Key words: Queueing, Manufacturing, Communication networks, Jackson networks, stability, infinite virtual buffers.

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