ResearchonExpresswayTollCapacity高速公路收费站通行能力研究.PDF

Advances in Applied Mathematics 应用数学进展, 2018, 7(4), 362-368 Published Online April 2018 in Hans. /journal/aam /10.12677/aam.2018.74045 Research on Expressway Toll Capacity 1* 1 2 Wushuang Tan , Yi Yuan , Yi Lei 1 College of Mathematics and Software Science, Sichuan Normal University, Chengdu Sichuan 2 College of Computer Science, Sichuan Normal University, Chengdu Sichuan th th th Received: Apr. 8 , 2018; accepted: Apr. 20 , 2018; published: Apr. 27 , 2018 Abstract In this paper, the duplicate toll plazas and fan toll plazas are investigated through the analysis of express toll access and fan toll access, respectively. The mathematical models are found to discuss the optimum construction scheme under different traffic flows and the toll plaza area of different shapes. And then the result is obtained that the area of duplicate toll plaza is smaller than that of the fan toll plaza. Finally, it is found that the conversion of the traditional man-made toll form into MTC and ETC substantially improves the throughput of the toll station. Keywords Duplicate Toll Access, Fan-Shaped Toll Access, Toll Plaza 高速公路收费站通行能力研究 1* 1 2 谭武霜 ，袁 艺 ，雷 怡 1 四川师范大学数学与软件科学学院，四川 成都 2 四川师范大学计算机科学学院，四川 成都 收稿日期：2018年4月8 日；录用日期：2018年4月20 日；发布日期：2018年4月27 日 摘 要 本文通过高速公路复式收费通道和扇形式收费通道的分析，分别讨论了复式收费广场和扇形式收费广场， 通过建立数学模型讨论了不同交通流量下最优的建设方案以及不同形状的收费广场占地面积。然后获得 了复式收费广场的占地面积小于扇形收费广场。最后发现将传统人工收费形式变为MTC与ETC极大地提 *通讯作者。 文章引用: 谭武霜, 袁艺, 雷怡. 高速公路收费站通行能力研究[J]. 应用数学进展, 2018, 7(4): 362-368. DOI: 10.12677/aam.2018.74045 谭武霜 等