This paper presents a model of the strategic behavior of firms operating in a spatial supply chain network. The manufacturing and retailing firms engage in an oligopolistic, noncooperative game by sharing customer demand such that a firm’s decisions impact the product prices, which in turn...

We reconsider the pollution permit concept in a setting extended to include dynamics, spatially diversified firms, and an oligopoly in product markets. The firms can manage their pollution emissions or stocks by (1) buying pollution permits and emitting pollution, (2) shipping pollutants to...

In this paper, we consider dynamic congestion pricing in the presence of demand uncertainty. In particular, we apply a robust optimization (RO) approach based on a bi-level cellular particle swarm optimization (BCPSO) to optimal congestion pricing problems when flows correspond to dynamic user...

In this paper we present a dual-time-scale formulation of dynamic user equilibrium (DUE) with demand evolution. Our formulation belongs to the problem class that Pang and Stewart (2008) refer to as differential variational inequalities. It combines the within-day time scale for which route and...

Historically, congestion pricing is considered to be an efficient mechanism used to decrease total social cost by charging users' true costs including congestion externalities. Congestion pricing under uncertainty has been relatively little studied. In this paper, we review the literature on...

Traffic assignment is a set of criteria through which the demand for mobility is distributed over the links of a transport network. Over the last 30 years, Dynamic Traffic Assignment (DTA) models have been developed to support time-dependent analyses in nascent fields that need to take into...

A direct approach to performing sensitivity analysis for a spatial price equilibrium problem with nonlinear transportation cost, commodity supply and commodity demand functions is presented. The first order derivatives of all decision variables with respect to parameter perturbations are shown...

This paper reviews the problems associated with application of the concept of consumers' surplus to the measurement of benefits derived from a transportation investment. This review is warranted since such measurement is very complicated when alternative modes or different paths are available to...

The task of predicting the short run equilibrium of a transportation market is central to the study of many transportation problems. In this paper we review the different approaches and methodologies that have been proposed to deal with the equilibrium problem in transportation markets. The...

This paper reviews two classes of nontraditional models for the (dis)equilibrium network design problem and uses these to describe research needed to advance the state-of-the art in the design of both static and dynamic networks. The static equilibrium design model emphasized herein recalls an...