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Fixed point methods for computing within-day dynamic user equilibrium | IEEE Conference Publication | IEEE Xplore

Fixed point methods for computing within-day dynamic user equilibrium


Abstract:

We show that analysis of the within-day dynamic user equilibrium (DUE) problem is tremendously simplified by expressing dynamic user equilibrium as a differential variati...Show More

Abstract:

We show that analysis of the within-day dynamic user equilibrium (DUE) problem is tremendously simplified by expressing dynamic user equilibrium as a differential variational inequality when dynamic network loading (DNL) is considered to be an embedded subproblem. The DNL problem is approximated as a system of ordinary differential equations (ODEs) which may be efficiently solved using traditional numerical methods. Computing an actual dynamic user equilibrium is shown to require solution of a continuous-time fixed-point problem. A numerical example based on the much studied Sioux Falls network is presented.
Date of Conference: 05-07 October 2011
Date Added to IEEE Xplore: 17 November 2011
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Conference Location: Washington, DC, USA

References

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