This paper presents a (d, c)-minimal paths based algorithm to evaluate the reliability index R(d,c), defined as the probability that the source distributes a demand d successfully to the destination with the total distribution cost not exceeding budget constraint c. The proposed algorithm...

We determine the exact upper bound of the inefficiency of atomic splittable selfish traffic equilibria with elastic travel demand with and without road pricing. In the previous results, only pseudo-approximation bound were obtained for this case. By comparison, we also conclude that the traffic...

Every morning, commuters either use their private cars or select the regularly dispatched buses for traveling from a residential area to a workplace on a bottleneck-constrained highway. With the mode split governed by a logit-based formula, the classical bottleneck model and a newly proposed...

This paper deals with pricing and modal split in a competitive mass transit/highway system with heterogeneous commuters. Two groups of commuters that differ in their disutility from travel time, schedule delay and transit crowding, select the transit or auto mode for traveling from a residential...

This paper examines the efficiency of a tradable travel credit scheme for managing bottleneck congestion and modal split in a competitive highway/transit network with continuous heterogeneity in the individuals’ value of time. Each user is initially endowed with a certain amount of travel...

This paper studies the existence and efficiency of oligopoly equilibrium under simultaneous toll and capacity competition in a parallel-link network subject to congestion. We establish sufficient conditions for the existence of a pure-strategy oligopoly equilibrium and then derive upper bounds...