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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第13卷    第2期    总第71期    2016年2月

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文章编号:1672-7029(2016)02-0201-09
高速铁路加权复杂网络特性分析
张兰霞12,秦勇12,王莉12

(1.北京交通大学轨道控制与安全国家重点实验室,北京 100044;
2.北京交通大学交通运输学院,北京 100044
)

摘 要: 根据2015年中国高速铁路列车运行时刻表,提取全路479个高速车站和2 487次列车作为研究对象,运用复杂网络理论构建高速铁路地理网、车流网以及服务网3个网络模型。对各网络的节点度、聚集系数和平均网络距离等静态指标以及本文提出的节点强度、平均时间网络距离等指标特性进行分析。研究结果表明:高速铁路地理网仍具有树状网络的特点;高速铁路车流网的度分布符合指数分布规律;高速铁路服务网节点强度与度之间存在显著的幂律关系,具有无标度和小世界网的网络特点。在此基础上,研究在不同攻击情况下的高速铁路地理网络的可靠性,为提高高速铁路网络稳定性提出建议。研究结果可为未来设计和优化高速铁路网络结构方面提供借鉴和参考。

 

关键字: 高速铁路;加权复杂网络;车流;平均时间网络距离;网络可靠性

Statistical analysis of weighted complex network in Chinese high-speed railway
ZHANG Lanxia1,2, QIN Yong12, WANG Li12

1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;
2. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China

Abstract:According to the 2015 China''''s high-speed railway timetable, this paper extracted 479 high speed stations and 2 487 high speed trains as the research object. Based on complex network theory, three high-speed railway geographical network, train flow network and service network models were built. Through the analysis of the each network''''s node degree, aggregation coefficient, average network distance, and an node strength, average time-network distance etc, it is found that high speed railway geographic network still has the characteristics of tree network. The distribution degree of high speed railway wagon flow network is conform to the exponential distribution law. The relationship between the node strength and node degree of high-speed rail service network is a remarkable power-law, and it has the network characteristics of scale-free and small-world network. Then, this paper also analyzed the network reliability under the different attacks on high-speed railway network, and recommendations were put forward in order to improve the network stability of high-speed railway. The results provide a reference for the future design and optimization of high speed railway network structure.

 

Key words: high-speed railway; weighted complex network; train flow; average time-network distance; network reliability

ISSN 1672-7029
CN 43-1423/U

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