Traffic Network Equilibrium Problem with Nonadditive Path Cost
YI Kun-nan
Abstract
YI Kun-nan
Abstract
A variational inequality approach is utilized to study traffic network equilibrium problem with non-additive path cost. An equivalent variational inequality model is presented, which includes the existing additive models as its special case. Existence and uniqueness of solutions to the model under some weak conditions are investigated. This study provides a powerful tool to further explore the traffic network equilibrium problem in a general situation.
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A variational inequality approach is utilized to study traffic network equilibrium problem with non-additive path cost. An equivalent variational inequality model is presented, which includes the existing additive models as its special case. Existence and uniqueness of solutions to the model under some weak conditions are investigated. This study provides a powerful tool to further explore the traffic network equilibrium problem in a general situation.
Key concepts: Variational inequality, Uniqueness, Traffic network, Mathematical optimization, Path (computing), Mathematical economics, Mathematics, Applied mathematics