2011•Transportation Research Board 90th Annual MeetingTransportation Research BoardRequires access

Comparison of User-equilibrium and System-optimal Route Flow Solutions Under Increasing Traffic Congestion

Jianfeng Zheng, David E. Boyce

Abstract

Using an advanced traffic assignment tool (TAPAS), unique route flows can be obtained for precisely converged solutions of traffic assignment problems. Comparisons of user-equilibrium and system-optimum solutions for three trip matrices are presented for two road networks. Then, flow patterns on two small-scale networks are analyzed. Results show that increasing traffic congestion has a substantial impact on the difference in flows between the user equilibrium and system optimum when link cost functions are super-linear; in contrast, for linear link cost functions, such differences may be independent of travel demand.

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Key concepts: Mathematical optimization, Traffic congestion, Traffic flow (computer networking), Computer science, Flow network, Travel time, Flow (mathematics), Scale (ratio)