Decomposition of Queueing Networks with Dependent Service and Negative Customers |
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Authors: | P P Bocharov E V Gavrilov C D'Apice A V Pechinkin |
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Affiliation: | (1) Peoples Friendship University, Moscow, Russia;(2) University of Salerno, Salerno, Italy;(3) Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia |
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Abstract: | Queueing networks with negative customers (G-networks) and dependent service at different nodes are studied. Every customer arriving at the network is defined by a set of random parameters: his route over the network (a sequence of nodes visited by the customers), route length, and volume and service length of the customer at every stage of the route. For G-networks, which are the analogs of BCMP-networks, the multidimensional stationary distribution of the network state probabilities is shown to be representable in product form. |
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