[1] GARRISON W L, MARBLE D F. Factor analytic study of the connectivity of transportation network[J]. Papers in Regional Science, 1964, 12(1): 231-238.
[2] 马嘉琪,白 雁,韩宝明.城市轨道交通线网基本单元与复杂网络性能分析[J].交通运输工程学报,2010,10(4):65-70,102.
MA Jia-qi, BAI Yan, HAN Bao-ming. Characteristic analysis of basic unit and complex network for urban rail transit[J]. Journal of Traffic and Transportation Engineering, 2010, 10(4): 65-70, 102.(in Chinese)
[3] 李 英,周 伟,郭世进.上海公共交通网络复杂性分析[J].系统工程,2007,25(1):38-41.
LI Ying, ZHOU Wei, GUO Shi-jin.An analysis of complexity of public transportation network in Shanghai[J]. Systems Engineering, 2007, 25(1): 38-41.(in Chinese)
[4] DERRIBLE S, KENNEDY C. The complexity and robustness of metro networks[J].Physica A: Statistical Mechanics and its Applications, 2010, 389(17): 3678-3691.
[5] ZHANG X, MILLER-HOOKS E, DENNY K. Assessing the role of network topology intransportation network resilience[J]. Journal of Transport Geography, 2015, 46: 35-45.
[6] DIMITROV S D, CEDER A. A method of examining the structure and topological properties of public-transport networks[J]. Physica A: Statistical Mechanics and its Applications, 2016, 451: 373-387.
[7] LÓPEZ F A, PÁEZ A, CARRASCO J A, et al. Vulnerability of nodes under controlled network topology and flow autocorrelation conditions[J]. Journal of Transport Geography, 2017, 59: 77-87.
[8] 杜 斐,黄宏伟,张东明,等.上海轨道交通网络的复杂网络特性及鲁棒性研究[J].武汉大学学报(工学版),2016,49(5):701-707.
DU Fei, HUANG Hong-wei, ZHANG Dong-ming,et al. Research of characteristics of complex network and robustness in Shanghai metro network[J]. Engineering Journal of Wuhan University, 2016, 49(5): 701-707.(in Chinese)
[9] 叶营仓.有向加权下城市轨道交通车站重要度排名研究[J].齐齐哈尔大学学报(自然科学版), 2017,33(4):35-39.
YE Ying-cang.Study on importance rank of stations under the directed weighting urban rail transit network[J]. Journal of Qiqihar University(Natural Science Edition), 2017, 33(4): 35-39.(in Chinese)
[10] MISHRA S, WELCH T F, JHA M K. Performance
indicators for public transit connectivity in multi-modal transportation networks[J]. Transportation Research Part A: Policy and Practice, 2012, 46(7): 1066-1085.
[11] JENELIUS E, PETERSEN T, MATTSSON L G. Importance and exposure in road network vulnerability analysis[J]. Transportation Research Part A: Policy and Practice, 2006, 40(7): 537-560.
[12] 陈 峰,胡映月,李小红,等.城市轨道交通有权网络相继故障可靠性研究[J].交通运输系统工程与信息,2016,16(2):139-145.
CHEN Feng, HU Ying-yue, LI Xiao-hong, et al. Cascading failures in weighted network of urban rail transit[J]. Journal of Transportation Systems Engineering and Information Technology, 2016, 16(2): 139-145.(in Chinese)
[13] CHU Y. Implementation of a new network equilibrium model of travel choices[J]. Journal of Traffic and Transportation Engineering(English Edition), 2018, 5(2): 105-115.
[14] JENELIUS E, CATS O. The value of new public transport links for network robustness and redundancy[J]. Transportmetrica A: Transport Science, 2015, 11(9): 819-835.
[15] XIAO Xue-mei, JIA Li-min, WANG Yan-hui. Correlation between heterogeneity and vulnerability of subway networks based on passenger flow[J]. Journal of Rail Transport Planning and Management, 2018, 8(2): 145-157.
[16] GLAZEBROOK G, RICKWOOD P. Options for reducing
transport fuel consumption and greenhouse emissions for Sydney[J]. Built Environment, 2008, 34(3): 349-363.
[17] JIA Shun-ping, MAO Bao-hua, LIU Shuang, et al. Calculation and analysis of transportation energy consumption level in China[J]. Journal of Transportation Systems Engineering and Information Technology, 2010, 10(1): 22-27.
[18] MA L L, JIANG X, ZHANG Z L, et al. A new kind of node centrality in directed weighted networks based on the demands of network clients[J]. Physica Scripta, 2011, 84(2): 025801-1-9.
[19] 刘 杰,彭其渊,陈锦渠,等.考虑乘客出行容忍度的城市轨道交通网络的连通可靠性分析[J].交通运输工程与信息学报,2019,17(4):134-140.
LIU Jie, PENG Qi-yuan, CHEN Jin-qu, et al. Analysis of connectivity reliability of urban rail transit network considering passengers' travel tolerance[J]. Journal of Transportation Engineering and Information, 2019, 17(4): 134-140.(in Chinese)
[20] 袁振洲,魏 来,吴玥琳,等.基于差异化换乘感知的轨道交通末班车衔接优化[J].北京交通大学学报,2020,44(1):12-19.
YUAN Zhen-zhou, WEI Lai, WU Yue-lin, et al. Connecting optimization of last train in rail transit based on differential transfer perception[J]. Journal of Beijing Jiaotong University, 2020, 44(1): 12-19.(in Chinese)
[21] 彭其渊,刘 杰.城市轨道交通规划网络与城市规划的综合协调性量化分析[J].交通运输工程学报,2019,19(3):134-144.
PENG Qi-yuan, LIU Jie. Comprehensive coordination quantitative analysis of urban rail transit planning network and urban planning[J]. Journal of Traffic and Transportation Engineering, 2019, 19(3): 134-144.(in Chinese)
[22] FREEMAN L C. Centrality in social networks' conceptual
clarification[J]. Social Networks, 1978-1979, 1(3): 215-239.
[23] FREEMAN L C, BORGATTI S P, WHITE D R. Centrality in valued graphs: a measure of betweenness based on network flow[J]. Social Networks, 1991, 13(2): 141-154.
[24] 胡映月,陈 峰,陈培文,等.基于网络客流传播的轨道交通关键站点识别[J].西南交通大学学报,2017,52(6):1193-1200,1215.
HU Ying-yue, CHEN Feng, CHEN Pei-wen, et al. Critical station identification based on passenger propagation in urban mass transit network[J]. Journal of Southwest Jiaotong University, 2017, 52(6): 1193-1200, 1215.(in Chinese)
[25] ZHANG Jian-hua, XU Xiao-ming, HONG Liu, et al. Networked analysis of the Shanghai subway network, in China[J]. Physica A: Statistical Mechanics and its Applications, 2011, 390(23/24): 4562-4570.
[26] 叶 青.基于复杂网络理论的轨道交通网络脆弱性分析[J].中国安全科学学报,2012,22(2):122-126.
YE Qing. Vulnerability analysis of rail transit based on complex network theory[J]. China Safety Science Journal, 2012, 22(2): 122-126.(in Chinese)
[27] 王志如,李启明,梁作论.城市地铁网络拓扑结构脆弱性评价[J].中国安全科学学报,2013,23(8):114-119.
WANG Zhi-ru, LI Qi-ming, LIANG Zuo-lun. Evaluation of urban metro network topological structure vulnerability[J]. China Safety Science Journal, 2013, 23(8): 114-119.(in Chinese)
[28] 李成兵,魏 磊,李奉孝,等.基于攻击策略的城市群复合交通网络脆弱性研究[J].公路交通科技,2017,34(3):101-109.
LI Cheng-bing, WEI Lei, LI Feng-xiao,et al. Study on vulnerability of city agglomeration compound traffic network based on attack strategy[J]. Journal of Highway and Transportation Research and Development, 2017, 34(3): 101-109.(in Chinese)
[29] DENG Yong-liang, LI Qi-ming, LU Ying, et al. Topology vulnerability analysis and measure of urban metro network: the case of Nanjing[J]. Journal of Networks, 2013, 8(6): 1350-1356.
[30] KIM D H, NOH J D, JEONG H. Scale-free trees: the
skeletons of complex networks[J].Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2004, 70(42): 046126-1-5.