Computing Dual Time Scale Dynamic User Equilibria

Authors

Terry L. Friesz, Pennsylvania State University
Tae I. Kim
Changhyun Kwon, University at BuffaloFollow
Matthew A. Rigdon

Document Type

Book Chapter

Publication Date

2010

Keywords

dynamic user equilibrium, differential variational inequalities, Öxed point algorithm, dual time scale

Abstract

In this paper we summarize a dual-time scale formulation of dynamic user equilibrium with demand growth due to Friesz et al (2008). This formulation belongs to the problem class that Pang and Stewart (2008) refer to as di§erential variational inequalities. We also present a Öxed point algorithm for computing solutions to the dual time-scale model without calculating derivatives, along with a numerical example.

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Citation / Publisher Attribution

Computing Dual Time Scale Dynamic User Equilibria, in C.M.J Tampere, F. Viti & L.H. Immers, New Developments in Transport Planning: Advances in Dynamic Traffic Assignment, 17 p.

Scholar Commons Citation

Friesz, Terry L.; Kim, Tae I.; Kwon, Changhyun; and Rigdon, Matthew A., "Computing Dual Time Scale Dynamic User Equilibria" (2010). Industrial and Management Systems Engineering Faculty Publications. 41.
https://digitalcommons.usf.edu/egs_facpub/41