基于Manhattan距离的城市轨道交通布控研究

On the design technique of urban rail transit based on the Manhattan distance

研究了城市轨道交通布控理论中的设计技术,分析了城市轨道交通站点和线路布控原则、站点设计、线路布控、方案评价模型等内容.站点布控设计模型中,根据线路长度(L)和平均站点间距(d)可确定n个线路的站点个数,以最小站间距(dmin)和最大站间距(dmax)可依次优选具体站点,确定所有可行线路方案.线路布控设计模型研究认为,应尽量保持线路走向的平顺,以减少城市轨道交通线路总里程.基于Manhattan距离的覆盖量模型分析,将客流的乘坐意愿按站点距离分级(θi)加权折算,可量化预测站点客流量.根据线路覆盖量(C(sj))、轨道交通线路总建设费用(S)、单位长度承载客流量(T)建立的目标函数,当C(sj)较大、S和T较低,即线路单位建设成本较低时,设计方案较优.

Based on the distributive control theory,it was focused on urban rail transit about rules,sites design,lines planning and program evaluation model. In sites design model,site numbers（ n） was determined by lines lengths（ L） and average sites distance（ d）,then successively optimized specific site by the minimum distance（ dmin） and maximum distance（ dmax） between sites,further more determined all possible circuit solutions. As lines planning model showed it should try to keep the line to ride,to reduce the total mileage of city rail transit line,the coverage amount model based on the Manhattan distance theory confirmed the passenger ride would hierarchical weighted translation（ θi） by site distance,then quantitative prediction of site traffic.According to the objective function of the line coverage（ C（ sj））,the total construction cost of rail transit line（ S） and the carrying traffic in unit length（ T）,the superiority design was the lower unit construction costs,while larger C（ sj） and lower S and T.