This paper analyzes the structural properties of the shock and rarefaction wave solutions of a nonequilibrium theory of vehicular traffic flow. It shows that this nonequilibrium theory has two families of characteristics: one is slower and the other is faster than vehicular speed. Corresponding...

This paper presents a class of parameterized second-best road pricing schemes, where the toll on each tolled link is proportional to the Pigouvian charge (i.e., the difference between marginal social cost and marginal private cost). A general framework is formulated to model variable demand...

This paper investigates certain qualitative properties of a new continuum traffic flow theory developed by Zhang. It shows that the linearized version of the new theory is inherently stable, as is the LWR theory, that the theory has a hierarchy of first and second order waves through which small...

This paper examines the conditions for which ramp metering can be beneficial to the overall system in terms of travel time savings for a simple traffic corridor that consists of a freeway and a set of parallel arterials connected by entrance ramps. The focus is on analyzing state and control...

This paper presents a mathematical theory for modeling the hysteresis phenomenon observed in traffic flow. It proposes that acceleration, deceleration and equilibrium flow should be distinguished in obtaining speed-concentration and/or occupancy relationships, such that the phase transitions...

This paper presents a new continuum traffic flow theory. The derivation of this new theory is based on both empirical evidence of traffic flow behavior and basic assumptions on drivers' reaction to stimuli. Central to the development of this theory is the existence of an equilibrium...