Gordon and Newell queueing networks and copulas

Gordon and Newell queueing networks and copulas

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Article ID: iaor200970206
Country: Serbia
Volume: 19
Issue: 1
Start Page Number: 101
End Page Number: 112
Publication Date: Jan 2009
Journal: Yugoslav Journal of Operations Research
Authors:
Keywords: queueing networks
Abstract:

In this paper we have found an analytical formula for a copula that connects the numbers Ni of customers in the nodes of a Gordon and Newell queueing network. We have considered two cases: the first one is the case of the network with 2 nodes, and the second one is the case of the network with at least 3 nodes. The analytical formula for the second case has been found for the most general case (none of the constants from a list is equal to a given value), and the other particular cases have been obtained by limit.

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