This note develops a modelling approach for wireless networks driven byfluid traffic models. Introducing traffic sets that follow movement ofsubscribers, the wireless network with time-varying rates is transformedinto a stationary network at these traffic sets, which yields that thedistribution...

In contemporary railway traffic, different train services often run on the same track of a railway section. Since these train services generally travel at different speed, this may result in delays due to fast trains being caught behind slower ones. This note investigates these delays developing...

This note develops a modelling approach for wireless networks driven by fluid traffic models. Introducing traffic sets that follow movement of subscribers, the wireless network with time-varying rates is transformed into a stationary network at these traffic sets, which yields that the...

For a collection of Markov chains the aggregated process, that is a process for which the transition rates are a mixture of the transition rates of the Markov chains in the collection, is introduced. A sufficient condition is given, called cross-balance, a generalization of global balance to a...