交通运输系统工程与信息

交通运输系统工程与信息 ›› 2021, Vol. 21 ›› Issue (3): 40-46.

• 综合交通运输体系论坛 • 上一篇    下一篇

地铁公交线路合作博弈研究

周雨阳*a, b，刘国鹏a，陈艳艳a, b，闫慧雅a   

  1. 北京工业大学，a. 交通工程北京市重点实验室；b. 交通运输部城市公共交通智能化行业重点实验室，北京 100124
  • 收稿日期:2021-02-22 修回日期:2021-03-09 出版日期:2021-06-25 发布日期:2021-06-25
  • 作者简介:周雨阳(1984- )，女，黑龙江人，副教授，博士。
  • 基金资助:

    北京市自然科学基金-交控科技轨道交通联合基金/ Natural Science Foundation of Beijing, China(L181002)；国家重点研发计划/National Key Research and Development Program of China(2018YFB1600900)；北京市教育委员会科技计划面上项目/Beijing Municipal Education Commission, the General Program of Science and Technology(KM201810005017)。

A Study on Cooperative Game of Metro and Bus Lines

ZHOU Yu-yang*a, b, LIU Guo-penga , CHEN Yan-yana, b , YAN Hui-yaa   

  1. a. Beijing Key Laboratory of Traffic Engineering; b. Key Laboratory of Advanced Public Transportation Sciences, Ministry of Transport, Beijing University of Technology, Beijing 100124, China
  • Received:2021-02-22 Revised:2021-03-09 Online:2021-06-25 Published:2021-06-25

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摘要：

维系地铁和公交线路间的合作运输联盟，需要公平合理的分配合作产生的收益。针对这一问题，本文基于合作博弈理论，提出合作收益分配模型。考虑线路间的结构关系，将合作运输分为联合运输模式和共同运输模式，分别构建收益分配模型。在联合运输模式中，考虑不同线路在出行路径上的连接顺序，在收益函数中引入贡献度参数，重新分配路径上的合作收益。在共同运输模式中，基于夏普利值法，引入修正因子对合作运输产生的收益进行再分配，其中修正因子受到运营商在合作中的贡献、成本和风险3个因素的影响。最后通过先联运再共运的分配步骤，将模型应用于具体算例。计算结果表明，合作收益分配模型可以公平合理地分配合作收益，维系地铁公交线路间的合作运输联盟。

关键词: 城市交通, 合作运输, 合作博弈, 收益分配

Abstract:

To maintain the cooperative transportation alliance between subway and bus lines, it is necessary to fairly distribute the profits generated from the cooperation. This paper proposes a cooperative profit allocation model based on the cooperative game theory. The cooperative transportation mode is divided into the intermodal transportation and the shared transportation based on the topological relationships between lines. And the profit distribution models are established respectively. For the intermodal transportation, considering the connection sequence of different routes on the travel path, the contribution parameter is introduced into the profit function to redistribute the cooperation benefits on the path. Based on Shapley's value, a correction factor is introduced to redistribute the profit generated in the Shared Transportation. The correction factor is influenced by the operators' contribution, cost, and risk in cooperation. Finally, the model is applied to a specific case through the allocation step of first Intermodal Transportation and then Shared Transportation. The results show that the model can allocate the profit of cooperation fairly and rationality, maintain the cooperative transportation alliance between metro and bus lines.

Key words: urban traffic, cooperative transportation, cooperative game, profit distribution

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