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On existence of vector equilibrium flows for multiclass multicriteria traffic equilibrium problems

Xiaojun Yu

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Abstract

In this paper, we study the multiclass multicriteria traffic equilibrium model. First, we obtain the sufficient condition of (weak) vector equilibrium flows for multiclass multicriteria traffic equilibrium problems (MMTEP). Then, by proving the existence for the weighted variational inequality, we investigate the existence result of (weak) vector traffic equilibrium flows for MMTEP.

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In this paper, we study the multiclass multicriteria traffic equilibrium model. First, we obtain the sufficient condition of (weak) vector equilibrium flows for multiclass multicriteria traffic equilibrium problems (MMTEP). Then, by proving the existence for the weighted variational inequality, we investigate the existence result of (weak) vector traffic equilibrium flows for MMTEP.

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Available abstract

In this paper, we study the multiclass multicriteria traffic equilibrium model. First, we obtain the sufficient condition of (weak) vector equilibrium flows for multiclass multicriteria traffic equilibrium problems (MMTEP). Then, by proving the existence for the weighted variational inequality, we investigate the existence result of (weak) vector traffic equilibrium flows for MMTEP.

Key concepts: Variational inequality, Mathematical optimization, Computer science, Applied mathematics, Mathematics

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