Traffic Capacity Calculation Model of ETC/MTC Mixed Toll Lane at Highway Toll Plazas

doi:10.3969/j.issn.1674-0696.2024.01.08

Abstract

Abstract: The influence of the ETC vehicle proportion αE at the entrance of ETC/MTC mixed toll lane and the queuing length w of consecutively arriving ETC vehicles on the average service time tS of the mixed toll lane was analyzed. SHAKER model was modified, and the parameters of the modified SHAKER model were calibrated. A VISSIM simulation model was established to validate the validity of the modified SHAKER model. The relationship between the traffic capacity of ETC/MTC mixed toll lane and ETC vehicles proportion was analyzed and a traffic capacity estimation model for ETC/MTC mixed toll lane considering the average service time of vehicles was proposed and analyzed in comparison with the cosine function model. The results show that: the relative error ε between the calculated value of the modified SHAKER model and the simulated value of the VISSIM model for the traffic capacity of ETC/MTC mixed toll lane under different αE is less than 10%, which verifies the validity of the modified SHAKER model within a permissible range. The traffic capacity of ETC/MTC mixed toll lane increases as the ETC vehicles proportion entering the mixed lanes increases. Compared with the cosine function model, the proposed estimation model can better reflect the traffic operation characteristics of ETC/MTC mixed toll lane.

Key words: traffic engineering; ETC/MTC mixed toll lane; SHAKER model; average service time; VISSIM simulation

摘要： 分析了ETC/MTC混合收费车道入口ETC车辆占比αE和连续到达ETC车辆排队长度w对混合收费车道平均服务时间tS的影响；对SHAKER模型进行了修正，并对修正SHAKER模型参数进行了标定，建立VISSIM仿真模型对修正SHAKER模型的有效性进行了验证；分析了ETC/MTC混合收费车道通行能力与ETC车辆占比之间的关系，提出了考虑车辆平均服务时间的ETC/MTC混合收费车道入口通行能力估计模型，并与余弦函数模型进行了对比分析。结果表明：不同ETC车辆占比下，ETC/MTC混合收费车道入口通行能力修正SHAKER模型计算值和VISSIM模型仿真值的相对误差ε＜10%，在允许范围之内，验证了修正SHAKER模型的有效性；ETC/MTC混合收费车道通行能力随着驶入混合车道ETC车辆占比的增大而增大；与余弦函数模型相比，笔者提出的估计模型更能反映ETC/MTC混合收费车道的交通运行特性。

关键词: 交通工程；ETC/MTC混合收费车道；SHAKER模型；平均服务时间；VISSIM仿真

CLC Number:

U491

SHAO Changqiao，CHEN Yanqing. Traffic Capacity Calculation Model of ETC/MTC Mixed Toll Lane at Highway Toll Plazas[J]. Journal of Chongqing Jiaotong University(Natural Science), 2024, 43(1): 52-58.

邵长桥，陈艳清. 高速公路收费站ETC/MTC混合收费车道通行能力计算模型研究[J]. 重庆交通大学学报（自然科学版）, 2024, 43(1): 52-58.

References

［1］周刚, 常成利. 高速公路收费站通行能力研究［J］. 公路交通科技, 2001, 18(3): 56-59.
ZHOU Gang, CHANG Chengli. Expressway tollgate capacity study［J］. Journal of Highway and Transportation Research and Development, 2001, 18(3): 56-59.
［2］罗梓铭, 马飞虎. 混合收费站ETC与MTC车道通行能力研究［J］. 公路, 2018, 63(7): 239-244.
LUO Ziming, MA Feihu. Research on the traffic capacity of ETC and MTC lane in composite toll station［J］. Highway, 2018, 63(7): 239-244.
［3］苏帅杰. 基于推广ETC政策下的高速公路收费站通行能力和车道配置研究［D］. 西安: 长安大学, 2020.
SU Shuaijie. Study on the Capacity and Lane Allocation of Expressway Toll Stations Based on the Promotion of ETC Policy［D］. Xian: Changan University, 2020.
［4］ WANG Lei, WANG Peng, ZHAO Jiandong. Simulation of toll lane capacity of highway toll station［C］∥2020 IEEE 5th International Conference on Intelligent Transportation Engineering (ICITE). Beijing, China. IEEE, 2020: 151-154.
［5］ MAHDI M B, LEONG L V. Assessment of queue length and delay at toll plaza using microscopic traffic simulation［J］. Applied Mechanics and Materials, 2015, 802: 387-392.
［6］ ZHONG Liande, ZHOU Yongchuan, WU Keman. Analysis of level of service of toll lane allocation of Hong Kong-Zhuhai-Macao bridge ［C］ ∥ CICTP 2014, Changsha, Hunan, China. Reston, VA: American Society of Civil Engineers, 2014: 1863-1870.
［7］何石坚, 李清波, 匡姣姣, 等. 高速公路混合收费站通行能力的仿真［J］. 交通科学与工程, 2015, 31(3): 106-111.
HE Shijian, LI Qingbo, KUANG Jiaojiao, et al. Simulation of the traffic capacity of the composite toll station in highway［J］. Journal of Transport Science and Engineering, 2015, 31(3): 106-111.
［8］李剑, 刘力力, 胡宾, 等. 基于仿真的高速公路混合收费站通行能力确定方法［J］. 公路, 2012, 57(7): 183-188.
LI Jian, LIU Lili, HU Bin, et al. Method for determining expressway mixed toll station traffic capacity based on VISSIM simulation model ［J］. Highway, 2012, 57(7): 183-188.
［9］ CHANG Jinwei, LAI Kuntao, WANG Baizhen. The design model of freeway toll collection［C］∥2017 16th International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES). Anyang, Henan, China. IEEE, 2017: 195-198.
［10］ LIN Haoyu, ZHU Junjie, XIAO Yuting, et al. Optimal design of toll plaza based on traffic flow cellular automata［C］∥2017 4th Interna-tional Conference on Information Science and Control Engineering (ICISCE). Changsha, Hunan, China. IEEE, 2017: 1066-1072.
［11］张晨琛, 王艳辉, 贾利民. ETC系统对收费站服务水平的影响研究［J］. 交通运输系统工程与信息, 2013, 13(2): 147-152.
ZHANG Chenchen, WANG Yanhui, JIA Limin. Impact of ETC system on service level of toll plazas［J］. Journal of Transportation Systems Engineering and Information Technology, 2013, 13(2): 147-152.
［12］牛灵芝. 广东省某高速公路收费站ETC及混合式车道服务效率讨论［J］. 智能城市, 2022, 8(10): 19-21.
NIU Lingzhi. Discussion on service efficiency of ETC and hybrid toll lanes at a highway toll stations in Guangdong province［J］. Intelli-gent City, 2022, 8(10): 19-21.
［13］高士华.高速公路混合车道自然流收费系统ETC/MTC［C］∥中国公路学会.第四届全国公路科技创新高层论坛论文集［下卷］.北京：人民交通出版社，2008.
Gao Shihua. Highway mixed lane free-flow toll collection system ETC/MTC ［C］ ∥ China Highway Transportation and Society. Proceedings of the Fourth National Highway Science and Technology Innovation Forum: Ⅱ. Beijing: China Communications Press, 2008.
［14］周雄坚. 低速ETC/MTC混合式收费车道的设计与实现［J］. 中国交通信息化, 2015(10): 103-105.
ZHOU Xiongjian. Design and implementation of low-speed ETC/MTC hybrid toll lane［J］. China ITS Journal, 2015(10): 103-105.
［15］齐际. 铜永高速MTC车道改造E/MTC混合车道方案探讨［J］. 机电信息, 2018(12): 115-116.
QI Ji. Discussion on the scheme of E/MTC mixed lane reconstruction for MTC lane of Tongyong expressway［J］. Mechanical and Electrical Information, 2018(12): 115-116.
［16］程俊龙. ETC与MTC混合式收费站通行能力研究［D］. 成都: 西南交通大学, 2015.
CHENG Junlong. Study of Capacity for ETC and MTC Hybrid Toll Station ［D］. Chengdu: Southwest Jiaotong University, 2015.
［17］ ZARRILLO M L, RADWAN A E. Methodology SHAKER and the capacity analysis of five toll plazas［J］. Journal of Transportation Engineering, 2009, 135(3): 83-93.
［18］ ZARRILLO M L, RADWAN A E, SCHMITT D. Modeling traffic at toll collection facilities by applying vehicle properties, driver perception-reaction time and stop-time to the basic equations of motion from car-following theory ［CD］∥83rd TRB Annual Meeting CD-ROM. Washington, D.C.: TRB, 2004.
［19］ ZHANG Chen, HE Jie, WU Jin, et al. The analysis of ETC lane allo-cation in a toll collection station based on micro traffic simulation［C］∥Proceedings of the Asia-Pacific Conference on Intelligent Medical 2018 & International Conference on Transportation and Traffic Engineering 2018. December 21-23, 2018, Beijing, China. ACM, 2018: 161-166.
［20］ NEUHOLD R, GAROLLA F, SIDLA O, et al. Predicting and opti-mizing traffic flow at toll plazas［J］. Transportation Research Procedia, 2019, 37: 330-337.

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