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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2019, Vol. 36 ›› Issue (3): 256-264.doi: 10.3969/j.issn.1005-3085.2019.03.002

• • 上一篇    下一篇

出行者向诱导转移的委托代理模型研究

肖海燕   

  1. 湖北第二师范学院数学与经济学院,武汉  430205
  • 收稿日期:2017-07-26 接受日期:2018-11-08 出版日期:2019-06-15 发布日期:2019-08-15
  • 基金资助:
    湖北省自然科学基金(2015CFC883).

Study on the Principal Agent Model of the Travelers Transfer to Accept Guidance

XIAO Hai-yan   

  1. School of Mathematics and Economics, Hubei University of Education, Wuhan 430205
  • Received:2017-07-26 Accepted:2018-11-08 Online:2019-06-15 Published:2019-08-15
  • Supported by:
    The Natural Science Foundation of Hubei Province (2015CFC883).

摘要: 交通诱导的关键在于确定诱导分流的最优路径,从而尽快分流拥堵车辆,减少拥堵所带来的损失和影响.目前面临的难题为交通系统的诱导接受率问题,路径诱导接受率指提供的路径规划是否满足出行者的出行需求.利用委托代理理论,将管理者作为委托人,出行者作为代理人,建立管理者--出行者的委托代理模型,并对管理者实施政策的成本系数、激励系数、出行者的风险规避度、努力成本系数以及产出的不确定性对结果的影响进行数值实验,分析了其对路径诱导接受率的影响,研究表明管理者应尽可能以低成本有针对性的让区域内尽可能多的出行者接受路径诱导,实现政策的高效性,以提高诱导接受率.

关键词: 交通诱导, 诱导接受率, 委托--代理, 转移

Abstract: The key problem for the traffic guidance is to determine the optimal induced path, and shunt vehicles as soon as possible, which can reduce the loss and impact caused by congestion. Currently, the problem facing the induced traffic system is the acceptance rate measuring whether the induced paths meet the traveler's needs. In this paper, we establish the principal-agent model of the manager-traveler by treating the manager as the principal and the traveler as the agent. The impact of the cost coefficient, the incentive coefficient, the risk aversion degree, the effort cost coefficient and the uncertainty of the output on the results are also discussed. A numerical experiment was carried out to analyze the impact on the acceptance rate of route guidance. The study shows that managers should make as many travelers in the region accept route guidance as possible with low cost and pertinence so as to achieve a high efficiency of the policy and to improve the acceptance rate of route guidance.

Key words: traffic guidance, induced acceptance rate, principal-agent, transfer

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