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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 104034, 6 pages
Research Article

Travel Time Model for Right-Turning Vehicles of Secondary Street at Unsignalized Intersections

1School of Automobile and Traffic Engineering, Heilongjiang Institute of Technology, Harbin 150050, China
2School of Management, Harbin Institute of Technology, Harbin 150001, China
3School of Automobile Engineering, Harbin Institute of Technology, Weihai 264209, China
4Representative Office of PLA in Harbin Railway Administration, Harbin 150001, China

Received 8 November 2012; Revised 9 February 2013; Accepted 17 February 2013

Academic Editor: Wuquan Li

Copyright © 2013 Feng Yu-Qin 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.


The travel time of right-turning vehicles on secondary street at unsignalized intersection is discussed in this paper. Under the assumption that the major-street through vehicles’ headway follows Erlang distribution and secondary-street right-turning vehicles’ headway follows Poisson distribution. The right-turning vehicles travel time model is established on the basis of gap theory and M/G/1 queue theory. Comparison is done with the common model based on the assumption that the major-street vehicles’ headway follows Poisson distribution. An intersection is selected to verify each model. The results show that the model established in this paper has stronger applicability, and its most relative error is less than 15%. In addition, the sensitivity analysis has been done. The results show that right-turning flow rate and major-street flow rate have a significant impact on the travel time. Hence, the methodology for travel time of right-turning vehicles at unsignalized intersection proposed in this paper is effective and applicable.