It is sometimes the case that some economic goods are perfect complements to some agents, but not to all agents. As an illustration, consider the following highly stylized story. A regulator faces the problem of pricing the use of a given network, e.g., a highway network. For our purposes, a network is simply a graph, with no loop. Each edge of the graph has a capacity: the maximal amount of tr...

This paper investigates day-to-day dynamics in urban traffic network induced by departure time dynamics in commuter decisions. This investigation relaxes some key restrictions regarding fixed departure time and equilibrium assumptions to analyze the stability and performance of urban traffic networks over a multiple day planning horizon. A simulation-based framework is developed to analyze day-...

A new convex optimization framework is developed for the route flow estimation problem from the fusion of vehicle count and cellular network data. The issue of highly underdetermined link flow based methods in transportation networks is investigated, then solved using the proposed concept of cellpaths for cellular network data. With this data-driven approach, our proposed approach is versatile:...

Although various approaches have been proposed for modeling day-to-day traffic flow evolution, none of them, to the best of our knowledge, have been validated for disrupted networks due to the lack of empirical observations. By carefully studying the driving behavioral changes after the collapse of I-35W Mississippi River Bridge in Minneapolis, Minnesota, we found that most of the existing day-...

In managing a traffic network, it is desirable in some case to control the traffic such that the traffic volume on a certain link does not exceed a predefined threshold (e.g. its capacity). One method is to introduce physical capacity constraints for those links. Another method is to use an asymptotic travel time function that forces the travel time of the link to approach infinity when the flo...

This paper reviews the range of traffic models, with particular attention to microsimulation. Although there are major types, there are so many hybrids that it is difficult to classify them all. The standard way of assigning traffic to a network is to find a static equilibrium from which no driver would be able to find a quicker route. This gives fairly good predictions of the link flows result...