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Gordon and Newell queueing networks and copulas

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  • Ciuiu, Daniel

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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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 15769.

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Date of creation: Dec 2007
Date of revision: May 2009
Publication status: Published in Yugoslav Journal of Operations Research 1.19(2009): pp. 101-112
Handle: RePEc:pra:mprapa:15769

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Related research

Keywords: Gordon and Newell queueing networks; copulas.;

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Cited by:
  1. Mereuta, Cezar & Albu, Lucian liviu & Ciuiu, Daniel, 2010. "Classification of competitiveness types using copula," MPRA Paper 30314, University Library of Munich, Germany, revised Nov 2010.
  2. Ciuiu, Daniel, 2012. "Copulas having Zero-Isoline and Economic Applications," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 103-126, June.
  3. Ciuiu, Daniel, 2010. "Simulation of queueing systems with many stations and of queueing networks using copulas," MPRA Paper 27018, University Library of Munich, Germany, revised Sep 2010.

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