STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM

Zhou Jing

Journal of Systems Science and Mathematical Sciences ›› 2003, Vol. 23 ›› Issue (1) : 121-127.

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PDF(417 KB)
Journal of Systems Science and Mathematical Sciences ›› 2003, Vol. 23 ›› Issue (1) : 121-127. DOI: 10.12341/jssms09669
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STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM

  • Zhou Jing
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Abstract

This paper deals with the stochastic user equilibrium (SUE) conditions and SUE assignment problem in urban transportation networks with the help of utility theory. It has been proved that an SUE assignment problem can be formulated as a variational inequality(VI)problem under a weak assumption.Moreover,the equivalent relationship among the variational inequality (VI)problem,the complementary problem and a convex programming is discussed.The case of elastic demand is also studied.

Key words

Transportation network / stochastic user equilibrium assignment / variational inequality / complementar

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Zhou Jing. STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 121-127 https://doi.org/10.12341/jssms09669
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