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Stochastic Operations Research (SOR)

Graduate Stochastic Operations Research
Department of Applied Mathematics
Faculty of Electrical Engineering, Mathematics and Computer Sciences
University of Twente
P.O. Box 217
7500 AE Enschede
The Netherlands

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Abstract thesis "Queueing and Traffic"

Traffic jams are everywhere, some are caused by constructions or accidents but a large portion occurs naturally. These "natural" traffic jams are a result of variable driving speeds combined with a high number of vehicles. To prevent these traffic jams, we must understand traffic in general, and to understand traffic we must understand the relations between the three key parameters of highway traffic, speed, the average speed of a vehicle, flow, the number of vehicles passing a reference point, and density, the number of vehicles on the road, where flow equals the product of speed and density. Queueing theory offers new insights in the remaining relation between these three parameters.
In this thesis we have developed queueing models that are able to capture modern day highway traffic behaviour, and we have developed solution methods enabling the analysis of these queueing models. This thesis is organised in two parts, the first part covers traffic models based on queueing systems, while the second part discusses the theory behind the queueing models used. (download thesis)