Abstract：This paper studied the complexity of the vehicle motion and the essence of the dynamic vehicle queue length based on the traffic video data. According to the traffic flow wave theory, vehicle-following theory, hydromechanics theory, etc, the method based on the propagation of wave surface to describe the queuing process was applied, and a queue length calculation model named Vehicle Queuing Length dynamic Model (VQLM) was proposed. To reduce the error during the transformation from video to reality, we introduced a calibration method which adopted passenger car unit(PCU) to recover the reality by-recursire iteration. Preliminary results show that the VQLM is more accurate and pragmatic in calculating the vehicle queue length than other methods based on single theories. According to the experiments, the average vehicle queuing length error is reduced to -3.029% i.e., when the distance error is within 10 m (2 PCU which are both 5 m long ); The time error is 7 s (signal cycle length is 60 s).Moreover, VQLM accounts more about the subjectivity of the drivers, traffic intensity of the road and node-set function of traffic wave, etc.
[1] MORALES M J. Analytical procedures for estimating freeway traffic congestion[J].Public Roads,1986(2):55-61.
[2] 隽志才,魏丽英,李江.信号交叉口排队长度宏观模拟的自适应分析法[J].中国公路学报,2000,13(1):77-80. JUAN Zhicai,WEI Liying,LI Jiang.An adaptive macro-simulation method on queuing length at signalized intersection[J]. China Journal of Highway and Transport,2000,13(1):77-80.
[3] 王晓原,隽志才,贾洪飞.基于安全间距的车辆跟驰模型研究综述[J].长安大学学报:自然科学版,2004,24(6):51-54. WANG Xiaoyuan,JUAN Zhicai,JIA Hongfei. Summarization of car-following models based on security distance[J]. Journal of Chang'an University:Natural Science Edition,2004, 24(6):51-54.
[4] COMERT G, CETIN M. Queue length estimation from probe vehicle location and the impacts of sample size[J].European Journal of Operational Research,2009,197(1):196-202.
[5] 郑黎黎,丁同强,范海燕,等.高速公路交通事件影响范围的模糊预测[J].数学的实践与认识,2009(1):72-77. ZHENG Lili,DING Tongqiang,FAN Haiyan,et al. Fuzzy forecast of incident incidence freeway[J].Mathematics in Practice and Theory,2009(1):72-77.
[6] 丛浩哲,王俊骅,童世鑫. 高速公路网络交通突发事件辐射范围预测模型[J].同济大学学报:自然科学版,2012,40(3):414-422. CONG Haozhe,WANG Junhua,TONG Shixin. Prediction model of freeway network traffic incident radiation scope[J]. Journal of Tongji University: Natural Science,2012, 40(3):414-422.
[7] 沈振乾,苗长云,张芳.基于视觉的路口车辆排队长度检测方法[J].计算机工程,2014,40(4):218-222. SHEN Zhenqian,MIAO Changyun,ZHANG Fang. Vehicle queue length detection method at intersection based on vision[J]. Computer Engineering,2014, 40(4):218-222.
[8] 王力,李志军,修伟杰,等.基于MLD-MPC的快速路出口与辅路协调控制[J].控制工程,2014,21(4):487-492. WANG Li,LI Zhijun,XIU Weijie,et al. Signal coordination based on MLD model and MPC approach[J]. Control Engineering of China, 2014, 21(4):487-492.
[9] 龙晓伟,张恩杰,张青富.现代道路交通工程学[M].北京:交通出版社,2008:114-116. LONG Xiaowei, ZHANG Enjie, ZHANG Qingfu.Modern Road Traffic Engineering[M].Beijing: People's Communication Press, 2008:114-116.
[10] 樊月珍.基于交通流的车辆动态路径诱导方法研究[D].北京:中国农业大学,2005. FAN Yuezhen. Study on Dynamic Route Guidance Method of Vehicle Based on Traffic Flow[D]. Beijing:China Agricultural University,2005.
[11] GREENSHIELDS B D,BIBBINS J R,CHANNING W S,et al. A study of traffic capacity[J]. Highway Research Board Proceedings,1935(14):448-477.
[12] 曹宝贵.交通流复杂动态特性与交通拥堵问题研究[D]. 吉林:吉林大学,2010. CAO Baogui. The Study on Complex and Dynamic Characteristics of Traffic Flow and Traffic Jams[D].Jilin: Jilin University,2010.
[13] 贺晓锋,杨玉珍,陈阳舟.基于视频图像处理的车辆排队长度检测[J].交通与计算机,2006,24(5):43-46. HE Xiaofeng,YANG Yuzhen, CHEN Yangzhou.Vehicle queue length detection based on video image processing[J]. Journal of Transport Information and Safety, 2006, 24(5):43-46.
[14] 李秋林,何家峰.基于三帧差法和交叉熵阈值法的车辆检测[J].计算机工程,2011,37(4):172-174. LI Qiulin,HE Jiafeng. Vehicles detection based on three-frame-difference method and cross-entropy threshold method[J]. Computer Engineering,2011, 37(4):172-174.
[15] SATZODA R K,SUCHITRA S,SRIKANTHAN T,et al. Vision-based vehicle queue detection at traffic junctions[C]//Proc of the 7th IEEE Conference on Industrial Electronics and Applications.Singapore: IEEE Press,2012: 90-95.
[16] 李卫斌,辛乐. 基于图像处理的车辆排队长度鲁棒检测算法[J].计算机测量与控制,2011,19(8):1810-1813. LI Weibin,XIN Le. Robust detection of vehicle queue based on image processing[J]. Computer Measurement & Control,2011, 19(8):1810-1813.
[17] 王伟智,刘秉瀚.车辆排队长度自动检测新方法[J].中国体视学与图像分析,2006,11(3):216-221. WANG Weizhi,LIU Binghan.A new method of automatic extraction in vehicle queue length[J]. Chinese Journal of Stereo Logy and Image Analysis,2006, 11(3):216-221.
[18] 中国工业与应用数学学会.2013年高教社杯全国大学生数学建模竞赛题[EB/OL].[2013-09-13].http://www.mem.edu.cn/problem/2013/2013.html. China Society for Industrial and Applied Mathematics. The Contest problems for CUMCM-2013[EB/OL].[2013-09-13].http://www. mem. edu. cn/problem/2013/2013. html.
[19] 姚荣涵.车辆排队模型研究[D].吉林:吉林大学,2007. YAO Ronghan. A Study on Vehicular Queue Models[D].Jilin: Jilin University, 2007.
2016, Vol. 43 
