A new class of instantaneous dynamic user-optimal traffic assignment models
Operations Research
A Whole-Link Travel-Time Model with Desirable Properties
Transportation Science
Advances in the Continuous Dynamic Network Loading Problem
Transportation Science
On the Existence of Solutions to the Dynamic User Equilibrium Problem
Transportation Science
Convergence of a Discretised Travel-Time Model
Transportation Science
A Dynamic Network Loading Model for Traffic Dynamics Modeling
IEEE Transactions on Intelligent Transportation Systems
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In this paper, an analytical dynamic node-based model is proposed both to represent flows on a highway traffic network and to be utilized as an integral part of a dynamic network loading (DNL) process by solving a continuous DNL problem. The proposed model formulation has an integrate base structured with a mesoscopic link load-computing component that explicitly takes into account the acceleration behavior of discrete vehicle packets and an algorithm written with a set of nodal rules considering the constraints of link dynamics, flow conservation, flow propagation, and boundary conditions. The solution to the model formulation is obtained by simulation, where the coded algorithm of the proposed solution method is run after designing a discrete version of the problem. The performance of the proposed model, as a DNL model, is tested on a sample highway network following its validation study that is obtained on a sample highway node. It is seen that the proposed model provides consistent approximations to link flow dynamics. The new dynamic node model proposed in this paper is unique in that it encapsulates a mesoscopic approach in node-based flow dynamics modeling.