Abstract
To study the impact of the rapid transit on the capacity of current urban transportation system, a two-mode network capacity model, including the travel modes of automobile and transit, is developed based on the well-known road network capacity model. It considers that the travel demand accompanying with the regional development will increase in a variable manner on the trip distribution, of which the travel behavior is represented using the combined model split/trip distribution/traffic assignment model. Additionally, the choices of the travel routes, trip destinations and travel modes are formulated as a hierarchical logit model. Using this combined travel demand model in the lower level, the network capacity problem is formulated as a bi-level programming problem. The latest technique of sensitivity analysis is employed for the solution of the bi-level problem in a heuristic search. Numerical computations are demonstrated on an example network, and the before-and-after comparisons of building the new transit lines on the integrated transportation network are shown by the results.
Highlights
The concept of capacity is used as an important measure to evaluate the maximum throughput of the given road network
The most well-recognized network capacity model which demonstrates the changes of the traffic demand along with the regional development was presented by Yang et al (2000) for the urban road network
The objective function consists of three parts: the first term indicates that both types of traffic demand need to minimize the travel time by selecting the routes; the second term shows the distribution rule of the additional demand which is equivalent to the gravity model for the trip distribution (Sheffi 1985); the last term is used to introduce the variable destination costs which are optimized by the ETDA-VDC model
Summary
The concept of capacity is used as an important measure to evaluate the maximum throughput of the given road network. In the field of multimode equilibrium, being based on the combined distribution and assignment problems, Florian (1977) and Florian and Nguyen (1978) first extended the model to two modes, which is to say the automobile and bus The former considers that the two types of flow share the capacity of the roads, so their travel times are related; while the latter assumes that. The current traffic flows are assumed to be maintained in the distribution which only allows changing the travel modes and routes, while the new generated demands are free to decide the destinations, shift modes, and change routes This growth pattern is modeled by using the hierarchical logit demand function. The object of our capacity model is to estimate the maximum demand that can be accommodated by the given comprehensive transportation system
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