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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 375054, 5 pages -

Research ArticleBeijing Key Lab of Transportation Engineering, Beijing University of Technology, Beijing 100124, China

Received 27 June 2014; Revised 27 September 2014; Accepted 27 September 2014

Academic Editor: Wuhong Wang

Copyright © 2015 Chang-qiao Shao and Xiao-ming Liu. 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.


The breakdown phenomenon at freeway has both practical and theoretical interests. Many researchers have done great efforts on it. As a result, the stochastic concept for freeway capacity was defined and some approaches were developed. However, due to the fact that it is impossible to observe the value of the capacity, it is difficult to obtain the exact traffic capacity distribution. In this paper, traffic operational degradation concept was introduced and degradation model was developed to describe traffic breakdown process. A stochastic degradation parameter is introduced to explain the phenomena of traffic breakdown occurring at various flow rate levels. Traffic breakdown probability and traffic capacity distribution were derived theoretically. Based on the surveyed data, the experimental model was obtained by using the bootstrap method. The results indicate that Weibull distribution function can be used to describe traffic capacity stochastic nature.

Author: Chang-qiao Shao and Xiao-ming Liu



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