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Mathematical Problems in Engineering
Volume 2015, Article ID 406545, 7 pages
Research Article

Additional Riderships Estimation under Different Configurations of Bus Rapid Transit System

1College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China
2School of Transportation, Southeast University, Nanjing 210096, China

Received 14 January 2015; Accepted 16 February 2015

Academic Editor: Wei (David) Fan

Copyright © 2015 Wu Lan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Different configurations of Bus Rapid Transit (BRT) system may cause different additional riderships. In this paper, in terms of network traffic equilibrium assignment principle, the additional riderships estimation model based on Variational Inequality (VI) model is presented. The bus frequency is related to variables including the travel time, the residence time in terminals, and the dwelling time at the stops. The additional riderships are translated into network additional traffic flow firstly. Given the bus frequency, VI model can be turned into Stochastic User Equilibrium (SUE) model to calculate the other variables. The similarity diagonalization method is used to calculate the elastic bus frequency and finally the network additional traffic flow can be computed. The additional riderships under different configurations of BRT system are compared in the numerical test. The results show that the additional riderships under different configurations have large differences and occupy a high percentage of the total ridership.