Article ID: | iaor20042872 |
Country: | Netherlands |
Volume: | 65 |
Issue: | 1 |
Start Page Number: | 86 |
End Page Number: | 103 |
Publication Date: | Jan 2004 |
Journal: | Automation and Remote Control |
Authors: | Bocharov P.P., D'Apice C., Pechinkin A.V., Gavrilov E.V. |
Keywords: | queueing networks |
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 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.