Gordon and Newell queueing networks and copulas

Ciuiu, Daniel (2007): Gordon and Newell queueing networks and copulas. Published in: Yugoslav Journal of Operations Research , Vol. 19, No. 1 (July 2009): pp. 101-112.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Gordon and Newell queueing networks, copulas.
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation, Validation, and Selection; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics

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