On network flow equations and splitting formulas for sojourn times in queueing networks.
Daduna, Hans (1991)
Journal of Applied Mathematics and Stochastic Analysis
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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...
K. L. Arya, E. Stachowski (1972)
Applicationes Mathematicae
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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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J. P. Keller (1978)
Publications du Département de mathématiques (Lyon)
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Lim, J.-T., Meerkov, S.M. (1996)
Mathematical Problems in Engineering
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Tie Qiu, Lin Feng, Feng Xia, Guowei Wu, Yu Zhou (2011)
Computer Science and Information Systems
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Živko Bojović, Emil Šećerov, Vlado Delić (2010)
Computer Science and Information Systems
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Lieska, Kai, Jokela, Visa-Matti, Laitinen, Erkki (2004)
Lobachevskii Journal of Mathematics
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Pavel Boček, Tomáš Feglar, Martin Janžura, Igor Vajda (2001)
Kybernetika
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Message handling systems with finitely many servers are mathematically described as homogeneous Markov networks. For hierarchic networks is found a recursive algorithm evaluating after finitely many steps all steady state parameters. Applications to optimization of the system design and management are discussed, as well as a program product 5P (Program for Prognosis of Performance Parameters and Problems) based on the presented theoretical conclusions. The theoretic achievements as well...