Equilibrium Flow with Side Constraint

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Hadavi, Majid | 2012

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 44503 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Zakai Aashtiani, Hedayat
Abstract:
Wardrop’s first principle for defining the equilibrium flow in transportation networks is one of the mostly accepted assumptions in traffic assignment models. Optimization Models, Variational Inequalities, and Complementarity Equations are among the known models based on this assumption. In these models with the assumption of unlimited capacity for the network’s arcs and use of nonlinear cost functions, the constraint of arc capacity is considered implicitly. Another approach is to consider the arc capacity, explicitly. In recent decade this approach was the subject of some researches. In this thesis, these researches will be discussed. Then, researches about explicit consideration of the more general case of side constraints will be discussed. After that, a model for defining the equilibrium flow with explicit arc capacity consideration will be presented. Finally, the presented model for arc capacity will be generalized to the equilibrium model with general linear side constraints
Keywords:
Traffic Equilibrium ; Equilibrium Flow ; Variational Inequality ; Side Constraint ; Complementary Algorithm