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Gordon and Newell Queueing Networks and Copulas
Yugoslav journal of operations research, Tome 19 (2009) no. 1, p. 101 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
Classification : 90B15 62H20
Keywords: Gordon and newell queueing networks, copula. 
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     author = {Daniel Ciuiu},
     title = {Gordon and {Newell} {Queueing} {Networks} and {Copulas}},
     journal = {Yugoslav journal of operations research},
     pages = {101 },
     year = {2009},
     volume = {19},
     number = {1},
     zbl = {1199.90002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2009_19_1_a6/}
}
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Daniel Ciuiu. Gordon and Newell Queueing Networks and Copulas. Yugoslav journal of operations research, Tome 19 (2009) no. 1, p. 101 . http://geodesic.mathdoc.fr/item/YJOR_2009_19_1_a6/