山东建筑大学学报
山東建築大學學報
산동건축대학학보
JOURNAL OF SHANDONG JIANZHU UNIVERSITY
2015年
3期
243-248
,共6页
复杂公交网络%space L 方法%拓扑性质%鲁棒性%优化对策
複雜公交網絡%space L 方法%拓撲性質%魯棒性%優化對策
복잡공교망락%space L 방법%탁복성질%로봉성%우화대책
complex public transit network%space L method%topological properties%robustness%optimization strategies
公交网络拓扑特性与鲁棒性是评价城市公交网络可靠性的两个重要方面。文章选取截止到2014年5月的济南市195条公交线路和1433个站点为样本数据,采用 space L 方法构建济南市公交地理空间网络模型,分析公交网络站点度及度分布、平均最短距离、平均聚类系数、介数、网络有效性、网络最大连通率等拓扑性质;对济南市公交网络鲁棒性进行实证分析,并给出优化对策。结果表明:济南市公交网络具有较小的平均最短距离和较大的聚类系数,度分布为指数λ=2.112的幂律分布,是具有小世界特征的无标度网络;该网络对随机攻击具有鲁棒性,对蓄意攻击具有脆弱性,基于度数的蓄意攻击对公交网络鲁棒性影响最大。
公交網絡拓撲特性與魯棒性是評價城市公交網絡可靠性的兩箇重要方麵。文章選取截止到2014年5月的濟南市195條公交線路和1433箇站點為樣本數據,採用 space L 方法構建濟南市公交地理空間網絡模型,分析公交網絡站點度及度分佈、平均最短距離、平均聚類繫數、介數、網絡有效性、網絡最大連通率等拓撲性質;對濟南市公交網絡魯棒性進行實證分析,併給齣優化對策。結果錶明:濟南市公交網絡具有較小的平均最短距離和較大的聚類繫數,度分佈為指數λ=2.112的冪律分佈,是具有小世界特徵的無標度網絡;該網絡對隨機攻擊具有魯棒性,對蓄意攻擊具有脆弱性,基于度數的蓄意攻擊對公交網絡魯棒性影響最大。
공교망락탁복특성여로봉성시평개성시공교망락가고성적량개중요방면。문장선취절지도2014년5월적제남시195조공교선로화1433개참점위양본수거,채용 space L 방법구건제남시공교지리공간망락모형,분석공교망락참점도급도분포、평균최단거리、평균취류계수、개수、망락유효성、망락최대련통솔등탁복성질;대제남시공교망락로봉성진행실증분석,병급출우화대책。결과표명:제남시공교망락구유교소적평균최단거리화교대적취류계수,도분포위지수λ=2.112적멱률분포,시구유소세계특정적무표도망락;해망락대수궤공격구유로봉성,대축의공격구유취약성,기우도수적축의공격대공교망락로봉성영향최대。
The topological properties and robustness are two important aspects to evaluate the reliability of urban public transit network.In this paper,195 bus routes and 1433 bus stations of Jinan city until May 2014 have been collected as sample date to build up Jinan city’s public transit geospatial network model by applying space L method.Then,topological properties,which include degree,average shortest distance, average clustering coefficient,betweenness,network efficiency and network largest connectivity ratio are analyzed.Furthermore,empirical analysis of robustness of public transit network is carried out.Finally, robustness optimization strategies according to Jinan city’s public transit network are proposed.The results show Jinan city’s public transit network has smaller average shortest distance and larger clustering coefficient,and its degree distribution follows power-law distribution with index λ=2.112,i.e.,it is a scale-free network with small-world characteristics.The public transit network shows good robustness under random attacks,but robustness is comparatively poor under deliberate attacks,and the deliberate degree attacks have the largest impact on robustness of public transit network.