Validating state-dependent queueing models for uninterrupted traffic flows using simulation

In this paper, the effectiveness of state-dependent queueing models for analyzing traffic flows is tested by comparing the speeds generated by the queueing models with the ones obtained by simulation. Simulation is thus used to evaluate speeds generated by the different queueing models. Different state-dependency functions are described and their performance is assessed. An M/G/1 queueing model with Gaussian state-dependency outperforms all other state-dependent queueing models. Different test results and insights are provided. Received: July 2004, Revised: September 2005 AMS classification: 60K25, 60K30