ATIS与收费策略下多用户随机均衡的效率损失  

Bounding the Efficiency Loss of Multi-class Stochastic User Equilibrium under ATIS and Road Tolling

作　　者：张俊婷[1] 朱文龙 叶顺强 陈华友[2] ZHANG Junting;ZHU Wenlong;YE Shunqiang;CHEN Huayou(School of Management,Anhui University,Hefei 230601,China;School of Big Data and Statistics,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学管理学院,安徽合肥230601 [2]安徽大学大数据与统计学院,安徽合肥230601

出　　处：《运筹与管理》2024年第4期147-152,I0046,I0047,共8页Operations Research and Management Science

基　　金：安徽省哲学社会科学规划项目(AHSKQ2022D059)。

摘　　要：考虑ATIS作用的交通网络,用户具有交通信息接受程度的异质性;进一步,考虑实施道路收费策略情形下,用户具有时间价值的异质性;基于这两类异质性,研究了ATIS下异质性交通网络的效率损失问题。用户对ATIS系统的响应程度,亦即ATIS信息遵从率,是影响ATIS系统运行效率的关键因素。因此,通过ATIS信息遵从率参数的引入,将用户分为不同类型。假设用户均按照随机方式进行择路,建立了基于时间准则与基于费用准则的多用户Logit-随机均衡变分不等式。当系统总出行成本包含收费时,建立了多用户双准则系统最优模型,界定了多用户Logit-随机均衡相对于多用户系统最优的效率损失,推导出效率损失上界;进一步分析了当路段阻抗函数为多项式情形时,引入了自由流出行时间参数,给出了双准则下效率损失上界的解析式,分析了效率损失上界与各参数之间的关系。研究结论表明,双准则下效率损失上界为ATIS信息遵从率的减函数;此外,效率损失上界与路段阻抗函数、用户时间价值及其对路网的熟悉程度、路网本身复杂程度等因素有关。最后,通过算例验证了结论的有效性。With the dramatical increasement of the motor vehicles,many complex traffic problems have emerged.Information induction and congestion tolling strategy are two common and effective traffic management and control methods,guiding or inducing travelers’route choices to improve system efficiency.Traffic managers often combine the Advanced Traveler Information Systems(ATIS)with the congestion tolling strategy,fully utilizing the advantages of both to form an integrated demand management model.As an important part of Intelligent Transportation Systems,ATIS enables the sharing and utilization of traffic information,guiding travelers to make correct route choices.Congestion tolling strategy influences travelers’decisions by charging road tolls.Regarding the efficiency loss of the heterogeneous traffic network under ATIS,relevant research only considers the impact of the ATIS penetration rate.However,the influence of the information compliance rate is often ignored on the efficiency loss of ATIS.Scholars have already examined the efficiency loss of road tolling strategy.How the efficiency loss of the traffic network changes under the combined effect of ATIS and tolling strategy is an important issue for traffic managers.Therefore,it is necessary to theoretically explore the impact of ATIS and tolling strategy on the efficiency of the traffic network.In this paper,based on different heterogeneities,the efficiency loss of heterogeneous traffic network under ATIS and tolling strategy is discussed.Considering that users are heterogeneous in the value of time(VOT)under the road tolling strategy,users have heterogeneity in terms of different information received in a transportation network under ATIS.Based on the two heterogeneities,the efficiency loss of the heterogeneous network is investigated.Firstly,all users are classified into different groups based on the VOT heterogeneity.Then,considering that ATIS essentially depends on the travelers’response to the traffic information,the information compliance rate is introduc

关 键 词：ATIS 道路收费 多用户随机均衡 多用户系统最优 效率损失 

分 类 号：U491.1[交通运输工程—交通运输规划与管理]