Article contents
Jackson networks with unlimited supply of work
Published online by Cambridge University Press: 14 July 2016
Abstract
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 from this supply. Such nodes will be processing jobs all the time, so they will be fully utilized and experience a 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 an infinite supply of work have geometric marginal distributions and Poisson inflows and outflows, but their joint distribution is not of product form.
- Type
- Short Communications
- Information
- Copyright
- © Applied Probability Trust 2005
Footnotes
Supported in part by Israel Science Foundation grant number 249/02.
References
- 9
- Cited by