Gordon and Newell queueing networks and copulas

Authors

  • Daniel Ciuiu Faculty of Civil, Industrial and Agricultural Buildings Technical University of Civil Engineering, Bucharest, Romania + Romanian Institute for Economic Forecasting, Bucharest, Romania

DOI:

https://doi.org/10.2298/YJOR0901101C

Keywords:

Gordon and Newell queueing networks, copula

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.

References

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Published

2009-03-01

Issue

Vol. 19 No. 1 (2009)

Section

Research Articles

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