01478274

Component

Calculating equilibrium sensitivity on a bush can be done very efficiently, and serve as the basis for a network contraction procedure which increases the accuracy of subnetwork analysis. This method requires calculating travel time derivatives between two nodes, with respect to the demand between them, assuming that the flow distributes in a way that equilibrium is maintained. In previous research, the author developed two methods for calculating the necessary travel time sensitivities. This paper presents a third method, which is simpler, faster, and just as accurate. The method presented in this paper reformulates the linear system of equations defining these sensitivities as the solution to a convex programming problem, which can be solved by making minor modifications to static user equilibrium algorithms. Numerical experiments on the Austin, Texas regional network validate this performance.

This paper was sponsored by TRB committee ADB30(2) Network Equilibrium Modeling.

01470560

13-4519

English

12p

2013

Transportation Research Board 92nd Annual Meeting

Digital/other

Figures; References; Tables

Algorithms; Equilibrium (Systems); Linear equations; Network analysis (Planning); Sensitivity analysis; Travel time

Austin (Texas)

Highways; Planning and Forecasting; I71: Traffic Theory

Transportation Research Board Annual Meeting 2013 Paper #13-4519

TRIS, TRB, ATRI

Feb 5 2013 12:52PM