Queueing Networks with Dynamic Routing and Dynamic Stochastic Bypass of Nodes |
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Authors: | Evdokimovich V E Malinkovskii Yu V |
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Affiliation: | (1) LIAFA, CNRS-Universit? Paris 7, case 7014, 2, place Jussieu, 75251 Paris Cedex 05, France |
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Abstract: | We consider open exponential networks with routing matrices that depend on a network state. A customer entering a node is either independently of other customers queued with probability that depends on the network state or instantly bypasses the node with complementary probability. After bypassing a node, customers are routed according to a stochastic matrix that depends on the network state and may differ from the routing matrix. Under certain restrictions on parameters of the model, we establish a sufficient ergodicity condition and find the final stationary distribution. |
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