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Mathematical Problems in Engineering
Volume 2015, Article ID 136102, 11 pages
http://dx.doi.org/10.1155/2015/136102
Research Article

Temporal-Spatial Analysis of Traffic Congestion Based on Modified CTM

1School of Civil Engineering, Tsinghua University, Beijing 100084, China
2School of Management Science and Engineering, Central University of Finance and Economics, Beijing 100081, China
3College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
4School of Accountancy, Central University of Finance and Economics, Beijing 100081, China
5School of Statistics and Mathematics, Central University of Finance and Economics, Beijing 100081, China

Received 13 March 2015; Revised 11 May 2015; Accepted 24 May 2015

Academic Editor: Xiaosong Hu

Copyright © 2015 Chenglong Chu 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.

Abstract

A modified cell transmission model (CTM) is proposed to depict the temporal-spatial evolution of traffic congestion on urban freeways. Specifically, drivers’ adaptive behaviors and the corresponding influence on traffic flows are emphasized. Two piecewise linear regression models are proposed to describe the relationship of flow and density (occupancy). Several types of cellular connections are designed to depict urban rapid roads with on/off-ramps and junctions. Based on the data collected on freeway of Queen Elizabeth, Ontario, Canada, we show that the new model provides a relatively higher accuracy of temporal-spatial evolution of traffic congestions.