01516667

Component

https://doi.org/10.3141/2429-02

http://scholar.google.com...Choi&publication_year=2014

In this paper an equivalent mathematical programming formulation is provided for modeling demand elasticity and route overlapping in the stochastic user equilibrium (SUE) problem. The elastic demand establishes the equilibrium between supply function and demand function on the basis of microeconomics. Because the elasticity of demand is an important factor in predicting the future demand pattern and avoiding the potential biased assessment in transportation planning, the elasticity of travel demand must be modeled endogenously. The route overlapping problem is handled by the paired combinatorial logit (PCL) model while retaining the analytical tractability of the logit choice probability function. The PCL SUE model with elastic demand (PCL-SUE-ED) explicitly models the elasticity of travel demand and the effect of route overlapping on travel choice and route choice simultaneously. A path-based partial linearization algorithm is also developed for solving the PCL-SUE-ED model. In addition, a self-regulated averaging line search strategy is incorporated into the algorithm to minimize the computational efforts required to determine a suitable step size that guarantees convergence. Numerical results are provided to examine the features of the PCL-SUE-ED model as well as the efficiency of the path-based partial linearization algorithm.

01547309

14-2127

English

pp 8–19

2014

Transportation Research Record: Journal of the Transportation Research Board

9780309295239

Print

Figures (6) ; References (34) ; Tables (2)

Algorithms; Elasticity (Economics); Equilibrium (Systems); Logits; Mathematical models; Route choice; Traffic forecasting; Travel demand

Overlapping; Stochastic user equilibrium models

Highways; Planning and Forecasting; I72: Traffic and Transport Planning

TRIS, TRB, ATRI

Jan 27 2014 2:45PM

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