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On dynamics of traffic queues in a road network with route choice based on real time traffic information
Institution:1. Department of Sciences and Methods for Engineering, University of Modena and Reggio Emilia Via Amendola 2, Pad. Morselli, Reggio Emilia, 42122 Italy;2. Department of Industrial Engineering and Business Information Systems, University of Twente P.O. Box 217, AE Enschede, 7500 the Netherlands;3. Institute of Information Systems, University of Hamburg Von-Melle-Park 5, Room 3065 20146 Hamburg, Germany;4. Escuela de Ingenieriá Industrial, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile;1. Department of Human Anatomy, Histology and Embryology, Fourth Military Medical University, Xi''an 710032, PR China;2. Department of Endocrinology, Xijing Hospital, Fourth Military Medical University, Xi''an 710032, PR China;3. Reproductive Medicine Center, Department of Gynecology and Obstetrics, Tangdu Hospital, Fourth Military Medical University, Xi''an 710038, PR China;4. Department of Thoracic Surgery, Tangdu Hospital, Fourth Military Medical University, Xi''an 710038, PR China;5. Department of Gynaecology and Obstetrics, Xijing Hospital, Fourth Military Medical University, Xi''an 710032, PR China
Abstract:Introducing real time traffic information into transportation network makes it necessary to consider development of queues and traffic flows as a dynamic process. This paper initiates a theoretical study of conditions under which this process is stable. A model is presented that describes within-one-day development of queues when drivers affected by real-time traffic information choose their paths en route. The model is reduced to a system of differential equations with delay. Equilibrium points of the system correspond to constant queue lengths. Stability of the system is investigated using characteristic values of the linearised minimal face flow. A traffic network example illustrating the method is provided.
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