考虑道路收费的系统最优高速公路改扩建交通分流方法  

A System Optimization Model of Traffic Divergence for Freeway Reconstruction and Expansion Considering Road Charge

作　　者：田龙 郭月利 袁雪强 方地久 曾强 TIAN Long;GUO Yueli;YUAN Xueqiang;FANG Dijiu;ZENG Qiang(Shenzhen Shenshan Port Operation Company Limited,Shenzhen 518000,China;Guangdong Communication Planning&Design Institute Group Company Limited,Guangzhou 510000,China;Shenzhen Huiyan Expressway Company Limited,Shenzhen 518000,China;School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510000,China)

机构地区：[1]深圳市深汕港口运营有限公司,广东深圳518000 [2]广东省交通规划设计研究院集团股份有限公司,广州510000 [3]深圳惠盐高速公路有限公司,广东深圳518000 [4]华南理工大学土木与交通学院,广州510000

出　　处：《交通信息与安全》2024年第3期85-94,共10页Journal of Transport Information and Safety

基　　金：国家自然科学基金项目(52172345)资助。

摘　　要：交通分流是保障高速公路改扩建期间交通运行效率的重要措施。然而,目前国内高速公路改扩建工程多依靠管理人员经验性地确定分流措施,缺乏系统客观的分流方法,分流效果有待进一步提升。根据区域分流路网的道路特征,在行程时间基础上考虑道路收费对出行者路径选择的影响,构建路段阻抗函数。从交通管理者角度出发,以路网总出行阻抗最小为优化目标,考虑需求守恒、路径路段流量关系和路径流量非负约束,建立系统最优高速公路改扩建交通分流模型。分析模型的卡罗需-库恩-塔克(Karush-Kuhn-Tucker,KKT)条件,设计基于梯度投影的路径型算法,求解得到路网各起讫点(origin-destination,OD)之间的分流路径和路径流量。以广东省某高速公路改扩建工程为例,量化分析不分流、分流时不考虑道路收费和分流时考虑道路收费3种情形下的整体路网及改扩建高速施工路段交通运行状况。结果表明:分流时不考虑道路收费,改扩建高速施工路段交通量平均降低27.72%,饱和度降低0.09,平均车速提高4.26 km/h;分流时考虑道路收费后,改扩建高速施工路段交通量平均降低44.8%,饱和度降低0.4,平均车速提高12.98 km/h,道路通行效率得到有效改善,同时分流并未导致路网中其它路段交通运行情况变差。以上结论验证了本文所提出的改扩建交通分流方法的有效性和优越性。Traffic divergence is an important measure to ensure the efficiency of traffic operation during the reconstruction and expansion of freeways.However,currently the expressway reconstruction and expansion projects in China mainly rely on the managers to determine the divergence measures empirically,of which the performance needs to be further improved.Meanwhile,there is lack of systematic and objective divergence methods.According to the road characteristics of regional divergence network,a road impedance function is developed by combining the impact of road toll on travelers'route choice with travel time.From the perspective of traffic managers,taking the minimum travel impedance of the road network as the optimization objective,the system optimization model of traffic divergence for reconstruction and expansion of freeway is established considering the balance of demand and supply,the relationship between path and link flows and the non-negative constraint of route flow.The Karush-Kuhn-Tucker(KKT)conditions of the model is analyzed,and an algorithm based on gradient projection is designed to obtain the divergence path and path flow among origin-destination(OD)pairs in the road network.Taking a reconstruction and expansion project of freeway in Guangdong Province as an example,the traffic operation states of the entire road network and the construction section are modeled under three conditions of no divergence,divergence without road toll and divergence with road toll.The results show that:①Without considering the road toll,the average traffic volume of the section of reconstruction and expansion decreases by 27.72%,the saturation decreases by 0.09,and the average speed increases by 4.26 km/h.②Taking road toll into consideration during the diversion,the traffic volume of the section of reconstruction and expansion is reduced by 44.8%on average,the saturation is reduced by 0.4,and the average speed is increased by 12.98 km/h.The road traffic efficiency is effectively improved,and the divergence does not cause

关 键 词：交通工程 高速公路 交通分流 系统最优 道路收费 

分 类 号：U491.54[交通运输工程—交通运输规划与管理]