Gordon and Newell queueing networks and copulas
AbstractIn 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 InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 15769.
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
Gordon and Newell queueing networks; copulas.;
Find related papers by JEL classification:
- C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
- C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
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- 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.
- 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.
- 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.
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