| Abstract: | We consider characterizations of departure functions in Markovian queueing networks with batch movements and state-dependent
routing in discrete-time and in continuous-time. For this purpose, the notion of structure-reversibility is introduced, which
means that the time-reversed dynamics of a queueing network corresponds with the same type of queueing network. The notion
is useful to derive a traffic equation. We also introduce a multi-source model, which means that there are different types
of outside sources, to capture a wider range of applications. Characterizations of the departure functions are obtained for
any routing mechanism of customers satisfying a recurrent condition. These results give a unified view to queueing network
models with linear traffic equations. Furthermore, they enable us to consider new examples as well as show limited usages
of this kind of queueing networks.
This revised version was published online in June 2006 with corrections to the Cover Date. |
