On the Distribution of Calls in a Wireless Network driven by Fluid Traffic

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 of calls over the cells of the network depends on the calllength distribution only through its mean. The result is extended to anetwork of infinite server queues with time-varying arrival rates.