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Elastic Demand Stochastic User Equilibrium Assignment Based on a Dynamic System  

Im, Yong-Taek (전남대 교통물류학부)
Publication Information
Journal of Korean Society of Transportation / v.25, no.4, 2007 , pp. 99-108 More about this Journal
Abstract
This paper presents an elastic demand stochastic user equilibrium traffic assignment that could not be easily tackled. The elastic demand coupled with a travel performance function is known to converge to a supply-demand equilibrium, where a stochastic user equilibrium (SUE) is obtained. SUE is the state in which all equivalent path costs are equal, and thus no user can reduce his perceived travel cost. The elastic demand SUE traffic assignment can be formulated based on a dynamic system, which is a means of describing how one state develops into another state over the course of time. Traditionally it has been used for control engineering, but it is also useful for transportation problems in that it can describe time-variant traffic movements. Through the Lyapunov Function Theorem, the author proves that the model has a stable solution and confirms it with a numerical example.
Keywords
dynamic system; stochastic user equilibrium; elastic demand; logit model; Lyapunov function;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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