Consider a class of variational inequality problems of finding <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$${x^*\in S}$$</EquationSource> </InlineEquation>, such that <Equation ID="Equa"> <EquationSource Format="TEX">$$f(x^*)^\top (z-x^*)\geq 0,\quad \forall z\in S,$$</EquationSource> </Equation> where the underlying mapping f is hard to evaluate (sometimes its explicit form is unknown), and S has the following structure <Equation ID="Equb"> <EquationSource Format="TEX">$$S=\{x\in R^n\; | \;...</equationsource></equation></equationsource></equation></equationsource></inlineequation>

This paper carries on the recent work of Yang and Wang (2011) on tradable credit schemes by considering heterogeneous users with different value of time (VOT). Given a tradable credit scheme, the user equilibrium (UE) and market equilibrium (ME) conditions with heterogeneous users are formulated...

The continuous network design problem (CNDP) is generally formulated as a mathematical program with equilibrium constraints (MPEC). It aims to optimize the network performance via expansion of existing links subject to the Wardrop user equilibrium constraint. As one of the extremely challenging...

Speed limits are usually imposed on roads in an attempt to enhance safety and sometimes serve the purpose of reducing fuel consumption and vehicular emissions as well. Most previous studies up to date focus on investigation of the effects of speed limits from a local perspective, while...

This paper addresses the discrete network design problem (DNDP) with multiple capacity levels, or multi-capacity DNDP for short, which determines the optimal number of lanes to add to each candidate link in a road network. We formulate the problem as a bi-level programming model, where the upper...

Traffic congestion and emissions are two main types of social cost, and their minimization sometimes conflicts with each other. In this paper we seek nonnegative link toll schemes and/or link toll cum rebate schemes for Pareto-efficient control and management of both vehicular congestion and...

Consider a class of variational inequality problems of finding $${x^*\in S}$$ , such that $$f(x^*)^\top (z-x^*)\geq 0,\quad \forall z\in S,$$ where the underlying mapping f is hard to evaluate (sometimes its explicit form is unknown), and S has the following structure $$S=\{x\in R^n\; | \; Ax\le...