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摘要: 为了高效计算铁路车站咽喉的通过能力, 提出以进路为对象、以咽喉运用饱和状态下进路占用时间推算为核心的5步计算法。推导了基于概率论多除少补原理的一元多次多项式方程以标定关键参数, 并设计了以平行进路关联图为基础的完全子图搜索算法以确定方程系数, 以东莞站广州方向咽喉为例进行了计算。计算结果表明: 咽喉通过能力为503列, 占用43#、45#、53#道岔的列车数为102列, 计算时的通过能力利用率达到75%。可见, 该计算方法具有较强的可操作性。Abstract: In order to calculate the carrying capacity of railway station bottleneck efficiently, a new kind of calculating method with 5 steps was put forward. The method took station bottlenecks' routes as object and the projection of routes' holding time under saturation condition as core. A polynomial equation of higher degree with an unknown variable was deduced by applying probability theory, and the equation could calibrate the key parameters in the calculating method. Algorithms for searching complete sub-graphs based on parallel-route relation graph were devised in order to determine the equation coefficients. Guangzhou orientation bottleneck in Dongguan Station was as a calculation example. Calculation result shows that the carrying capacity of the station bottleneck is 503 trains, 43#, 45# and 53# turnouts are taken up by 102 trains, and the carrying capacity utilization ratio is 75%. So the calculating method has good maneuverability.
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表 1 各进路占用时间
Table 1. Holding times of routes
进路编号 进路名称 作业内容 总占用时间/min 1 Ⅰ至1道 接下行通过动车组及少数其他旅客列车 476 2 Ⅰ至5道 接下行停站动车组及少数其他旅客列车 195 3 Ⅱ至2道 发上行通过动车组及少数其他旅客列车 469 4 Ⅱ至6道 发上行停站动车组及少数其他旅客列车 220 5 Ⅲ至3道 接下行通过客货列车 126 6 Ⅲ至10、11道 接下行停站客货列车 74 7 Ⅲ至13、15、17、19、21道 接下行有改编作业的货物列车 120 8 Ⅳ至4道 上行通过客货列车 98 9 Ⅳ至5、7、10、11道 发上行停站旅客列车 104 10 Ⅳ至13、15、17、19、21道 发上行已改编货物列车 90 11 牵出线至13、15、17、19、21道 调车作业 240 表 2 咽喉通过能力
Table 2. Carrying capacity of bottleneck
进路编号 现阶段通过列车数/列 咽喉运用饱和状态下通过能力/列 1 68 动车: 46 90 动车: 61 客车: 22 客车: 29 2 65 动车: 54 86 动车: 71 客车: 11 客车: 15 3 67 动车: 48 88 动车: 63 客车: 19 客车: 25 4 63 动车: 52 83 动车: 69 客车: 11 客车: 14 5 18 客车: 15 24 客车: 20 货车: 3 货车: 4 6 21 客车: 14 28 客车: 20 货车: 7 货车: 8 7 货车: 20 货车: 26 8 15 客车: 11 20 客车: 15 货车: 4 货车: 5 9 26 客车: 17 34 客车: 22 货车: 9 货车: 12 10 货车: 18 货车: 24 总计 381 动车: 200 503 动车: 264 客车: 120 客车: 160 货车: 61 货车: 79 表 3 道岔占用情况
Table 3. Occupation of turnouts
道岔组编号 经由道岔 占用次数 1 1#、31#、71#、73# 171 2 3#、13#、27#、29#、69# 173 3 5#、15#、19#、25#、33#、35# 78 4 37#、41#、55#、57# 86 5 7#、11#、17#、21# 78 6 43#、45#、53# 102 7 9#、23#、39#、49#、51# 56 8 47#、59#、61# 89 -
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