跨区域整合公交系统建模与分析.doc

跨区域整合公交系统建模与分析 杜浩铭 任华玲 朱志红 北京交通大学交通系统科学与工程研究院 摘要： 随着区域经济一体化的发展，区域间公交系统的合作与整合得到了越来越广泛 的关注?本文提出了一个双层规划模型来描述我国的一类跨区域整合公交系统. 在上层问题屮，相邻区域的地方公交管理者们共同规划和管理跨区域公交线路, 以实现跨区域线路上社会福利的最大化?在下层问题中，这些区域的公交运营者 们相互开放区域市场并联合运营跨区域公交线路，他们相互竞争以实现各自利 润的最大化.为了获得更加准确的分析结果，所提出的模型详细地考虑了乘客的 站点拥挤成本和车内拥挤成本?数值结果表明，公交管理者们可以通过补贴影响 运营者的竞争行为，进而改善跨区公交系统各方参与者的利益. 关键词： 城市交通;公交跨区域合作;双层规划;公交联合运营;竞争;补贴; 作者简介：杜浩铭(1985-),男，山东烟台人，博士生. 作者简介：任华玲，hlren@bjtu. edu. cn 收稿日期：2017-06-01 基金:国家自然科学基金 Modeling and Analyzing the Integrated Transit System across the Jurisdictional Borders DU Hao-ming REN Him-ling ZHU Zhi—hong Institute of Transportation Science and Engineering, Beijing Jiaotong University; Abstract： With the development of regional economic integration, the cooperation and integration between the regional public transport systems have been paid more and more attention. This paper proposes a bi-level programming model to describe a kind of integrated transit system across the jurisdictional borders in China. In the upper level problem, the local transit authorities in adjacent regions cooperatively plan and manage the inter-region transit lines, with an objective of maximizing the social welfare. In the lower level problem, the local transit operators in these regions open their local transit markets to each other and jointly operate the inter-region transit lines. They compete with each other to maximize their own profits. In order to obtain more accurate anabasis results, the proposed model explicitly consider the stop congestion cost and in-vehicle crowding discomfort cost of the passengers. Numerical studies show that the transit authorities can guide the competitive behaviors of the operators, and t hen improve the bene fits of all participants in the cross-border transit system. Keyword： urban traffic; regional transit cooperation; bi-level programming; jointly operation of bus line; compctition; subsidy; Received： 2017-06-01 0引言 传统上，我国各地方的公交系统在给定的行政区域范围内是独立运作的?在每一 个区域内，