Product form solution for exponential G-networks with dependent service and completion of service of killed customers |
| |
Authors: | Pavel Bocharov Ciro D’Apice Alexandre Pechinkin |
| |
Institution: | (1) Department of Probability Theory and Mathematical Statistics, Peoples’ Friendship University of Russia, Moscow, Russia;(2) Department of Information Engineering and Applied Mathematics, University of Salerno, Salerno, Italy;(3) Institute of Informatics Problem, Russian Academy of Sciences, Moscow, Russia |
| |
Abstract: | Queueing networks with negative customers (G-networks), Poisson flow of positive customers, multi-server exponential nodes, and dependent service at the different nodes are studied. Every customer arriving at the network is defined by a set of random parameters: customer route, the length of customer route, customer volume and his service time at each route stage as well. A killed positive customer is removed at the last place in the queue and quits the network just after his remaining service time will be elaborated. For such G-networks, the multidimensional stationary distribution of the network state probabilities is shown to be representable in product form. |
| |
Keywords: | Dynamic routing Communication networks Mutiobjective Optimisation Heuristics |
本文献已被 SpringerLink 等数据库收录! |
|