Dobrushin's approach to queueing network theory.
Karpelevich, F.I., Pechersky, E.A., Suhov, Yu.M. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Karpelevich, F.I., Pechersky, E.A., Suhov, Yu.M. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Alfred Aanu Akinsete (2001)
Kragujevac Journal of Mathematics
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Živko Bojović, Emil Šećerov, Vlado Delić (2010)
Computer Science and Information Systems
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Daduna, Hans (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Pavel Bocharov, Ciro D'Apice, Evgeny Gavrilov, Alexandre Pechinkin (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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We consider a G-network with Poisson flow of positive customers. Each positive customer entering the network is characterized by a set of stochastic parameters: customer route, the length of customer route, customer volume and his service length at each route stage as well. The following node types are considered: (0) an exponential node with servers, infinite buffer and FIFO discipline; (1) an infinite-server node; (2) a single-server node with infinite buffer and LIFO PR discipline; (3) a...
Nenad Dulanović, Dane Hinić, Dejan Simić (2008)
The Yugoslav Journal of Operations Research
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Joanna Domańska, Adam Domański, Dariusz Augustyn, Jerzy Klamka (2014)
International Journal of Applied Mathematics and Computer Science
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Radomir Prodanović, Dejan Simić (2006)
Computer Science and Information Systems
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Walenty Oniszczuk (2009)
International Journal of Applied Mathematics and Computer Science
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This paper describes an analytical study of open two-node (tandem) network models with blocking and truncation. The study is based on semi-Markov process theory, and network models assume that multiple servers serve each queue. Tasks arrive at the tandem in a Poisson fashion at the rate λ, and the service times at the first and the second node are nonexponentially distributed with means sA and sB , respectively. Both nodes have buffers with finite capacities. In this type of network,...
C. Labbé, F. Reblewski, J.-M. Vincent (1998)
RAIRO - Operations Research - Recherche Opérationnelle
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Lim, J.-T., Meerkov, S.M. (1996)
Mathematical Problems in Engineering
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