Displaying similar documents to “On network flow equations and splitting formulas for sojourn times in queueing networks.”

Product form solution for g-networks with dependent service

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 c n 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...

Product form solution for g-networks with dependent service

Pavel Bocharov, Ciro D'Apice, Evgeny Gavrilov, Alexandre Pechinkin (2010)

RAIRO - Operations Research

Similarity:

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: Negative customers arriving at each node also form a Poisson flow. A negative customer entering a node with customers in service, with probability chooses one of served...