A Revolution in Infrastructure Network Research and Engineering? -- Networks and Dynamics: The Structure of the World We Live In -- Modeling Large Scale and Complex Infrastructure Systems as Computable Games -- Dynamic Competition on Networks: Differential Variational Inequalities, Limited...

Introduction -- Mathematical Preliminaries -- The Variational Inequality Formulation of Dynamic User Equilibria -- The Differential Variational Inequality Formulation of Dynamic User Equilibria -- Existence of Dynamic User Equilibria -- Algorithms for Computing Dynamic User Equilibria -- Dynamic...

Introduction -- Elements of Nonlinear Programming -- Elements of Graph Theory -- Programs with Network Structure -- Near-Network and Large-Scale Programs -- Normative Network Models and Their Solution -- Nash Games -- Network Traffic Assignment -- Spatial Price Equilibrium on Networks -- Network...

Nonlinear Programming and Discrete-Time Optimal Control -- Foundations of the Calculus of Variations and Optimal Control -- Infinite Dimensional Mathematical Programming -- Finite Dimensional Variational Inequalities and Nash Equilibria -- Differential Variational Inequalities and Differential...

This dissertation aims at modelling uncertainty and deriving managerial implications in different areas. Due to uncertainty and limited information, a firm may encounter difficulties in decision making and sometimes make wrong decision. For this reason, I provide models to incorporate...

Historically, congestion pricing is considered as an efficient pricing mechanism to decrease total social cost by eliminating rush hour congestion. However, in order to eliminate rush hour congestion, deterministic settings are usually necessary. In recent research, even if some uncertain...