陈龙 姚鸿飞 倪辰中 郁鑫斐 林启哲

摘  要：公交网路设计是解决城市公交网络的关键环节，需要在设计阶段充分考虑公交站点和线路的性质，利用复杂网络理论针对公交需求的变化提供相应的需求，加大公交覆盖范围，提高城市公交的分担率及其可持续发展。本文充分考虑公交站点和线路的性质，利用复杂网络理论针对公交需求的变化提供相应的需求，加大公交覆盖范围，提高城市公交的分担率及其可持续发展。依托复杂网络理论，将复杂网络与公交规划相结合，提出了解决线路规划矛盾问题的方法，并考量了公交站点分布度数及热力度等权重因素，对公交站点种类进行划分。通过研究利用BA无标度网络模型，在已有的数据上设计了一套合理的网络生成算法，探讨了南京市栖霞区部分公交网络的设计方法。分析了BA无标度网络的特征，应用BA无标度网络的理论设计并生成了南京市栖霞区部分公交网络。

关键词：无标度网络 拓扑性质 线网优化 加权网络 城市公交

中图分类号：O29           文献标识码：A            文章编号：1674-098X（2021）04（c）-0012-06

Optimal Design of Bus Routes Based on Scale Free Network

—— A Case Study of Qixia District， Nanjing

CHEN Long*  YAO Hongfei  NI Chenzhong  YU Xinfei  LIN Qizhe

（Nanjing University of Finance and Economics， Nanjing， Jiangsu Province， 210023  China）

Abstract： The design of public transport network is the key to solve this contradiction. In the design stage， we need to fully consider the nature of bus stops and routes， use complex network theory to provide corresponding demand for the change of public transport demand， increase the coverage of public transport， and improve the sharing rate of urban public transport and its sustainable development.In this paper， we fully consider the nature of bus stops and routes， use complex network theory to provide corresponding demand for the change of bus demand， increase the coverage of bus， improve the share rate of urban bus and its sustainable development. Based on the complex network theory， this paper combines the complex network with the public transportation planning， puts forward the method to solve the contradiction problem of route planning， and considers the weight factors such as the distribution degree and thermal degree of public transportation stations， and divides the types of public transportation stations.Based on the BA scale-free network model， this paper designs a set of reasonable network generation algorithm on the existing data， and discusses the design method of part of the public transport network in Qixia District of Nanjing City. This paper analyzes the characteristics of BA scale-free network， and applies BA scale-free network theory to design and generate part of the bus network in Qixia District of Nanjing City.

Key Words： Scale free network; Topology property; Line network optimization; Weighted network;  Urban public transport

城市公交網络的矛盾性表现在高速发展的城市建设、快速增加的城市人口与落后的城市传统出行交通的线路规划之间的复杂关系。因此公交线路的合理设计应当与时俱进，优化公交线路网成为当下热点话题，也响应“十四五”的公交设计政策，以南京市栖霞区为例优化了公交线路，以期提高社会公共资源的利用效率，节约公交企业运营成本。……