Dynamics of a transportation pollution permit system with stability analysis and computations

Dynamics of a transportation pollution permit system with stability analysis and computations

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Article ID: iaor2003290
Country: United Kingdom
Volume: 6D
Issue: 4
Start Page Number: 243
End Page Number: 268
Publication Date: Jul 2001
Journal: Transportation Research. Part D, Transport and Environment
Authors: ,
Keywords: geography & environment, measurement
Abstract:

In this paper, we develop a dynamic model of a link-based pollution permit system for congested urban transportation networks, whose set of stationary points coincides with the set of solutions to the variational inequality formulation of a previously proposed static model. We then conduct stability analysis and establish both local and global stability results and, in particular, asymptotical stability, under assumptions solely underlying the user link travel cost and origin/destination pair travel disutility functions. Finally, we propose an algorithm for the discrete time approximation of the trajectories, establish convergence, and provide numerical examples. This work is the first to study the dynamics and stability of a pollution permit system for transportation networks.

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