This note corrects a small but important error in the uniform portion of the socially optimal step toll derived by Arnott et al. (1990a). In particular, we show that this toll is actually a function of the values of travel time, early arrival time, and late arrival time (i.e., not just the value...

Traditional cost calculations do not accurately estimate the opportunity costs of using conveyances in intermodal operations, thus, results in many short-term pricing problems. The objective of this research is to develop a framework for estimating the opportunity costs of using conveyances in...

In high frequency transit operations, randomness and incidents often result in highly irregular headways which can significantly decrease service quality. Deadheading is one commonly used real-time operations control strategy that can improve service quality in such situations. When a vehicle is...

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...

Rapid changes and complexities in business environments have stressed the importance of interactions between partners and competitors, leading supply chains to become the most important element of contemporary business environments. There is a concomitant need for foresight in describing supply...

This paper is concerned with the existence of the simultaneous route-and-departure choice dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite-dimensional variational inequality in Friesz et al. (1993). In deriving our existence result, we employ the...

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 continuous-time network loading procedure based on the Lighthill–Whitham–Richards model proposed by Lighthill and Whitham (1955) and Richards (1956). A system of differential algebraic equations (DAEs) is proposed for describing traffic flow propagation, travel...