Bi-level programming model of decision optimization of reconstruction and expansion for highway network
Article Text (Baidu Translation)
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摘要: 针对公路网改扩建问题, 在决策优化过程中, 考虑了技术、资金、环境保护以及运营效率等因素。以路网系统的最小交通量为上层模型目标函数, 以最小走行时间为下层模型目标函数, 以路段服务水平、土地占用状况、建设投资等为约束条件, 构建了公路网改扩建决策优化双层规划模型。采用遗传算法求解模型, 并通过济青北线的实例数据进行实证分析。计算结果表明: 济青北线济南—淄博段、淄博—青州段、青州—潍坊段的扩建优化指数分别为2.15、4.09、3.54, 新建优化指数分别为1.87、3.09、2.73, 相同路段的扩建优化指数均高于新建优化指数, 与实际相符。可见, 模型有效。Abstract: Aiming at the reconstruction and expansion problems of highway network, the factors such as technique, fund, environmental protection and operation efficiency were considered during the decision optimization process. The minimum traffuc volume of highway network system was taken as the objective function of upper-level model, the minimum trip time was taken as the objective function of lower-level model, the service level of road section, land occupancy status and construction investment were taken as constraint conditions, and a bi-level programming model of decision optimization of reconstruction and expansion for highway network was set up. Genetic algorithm was used to solve the model, and empirical analysis was carried out by using the example data of Northern Jiqing Highway. Calculation result shows that the expansion optimization indexes of Jinan-Zibo section, Zibo-Qingzhou section and Qingzhou-Weifang section for Northern Jiqing Highway are 2.15, 4.09 and 3.54 respectively, while the newly-built optimization indexes of the road sections are 1.87, 3.09 and 2.73 respectively. The expansion optimization index is higher than the newly-built optimization index for each road section, which is close to actual experience, so the model is effective.
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表 1 高速公路年平均日交通量
Table 1. Annual average daily traffic volumes of highway
设计速度/(km·h-1) 交通量/(103 pcu·d-1) 四车道 六车道 八车道 120 40~55 55~80 80~100 100 35~50 50~70 70~90 80 25~45 55~60 60~80 
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表 2 一级公路年平均日交通量
Table 2. Annual average daily traffic volumes of first-class highway
设计速度/(km·h-1) 交通量/(103 pcu·d-1) 四车道 六车道 100 27~30 30~55 80 20~27 27~45 60 15~25 25~35
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表 3 其他公路年平均日交通量
Table 3. Annual average daily traffic volumes of other highways
公路等级 速度/(km·h-1) 年平均日交通量/(103 pcu·d-1) 二级 40~80 5~15 三级 30~40 2~6 四级 20 < 2
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表 4 城市节点之间交通量
Table 4. Traffic volumes among city nodes pcu·d-1
线路走向 自西向东 自东向西 总计 济南—淄博—青州—潍坊—青岛 5 974 5 969 11 943 济南—淄博—青州—潍坊—烟台 11 529 6 689 18 218 济南—淄博—青州—潍坊 5 376 7 835 13 210 济南—淄博—青州—潍坊—威海 8 322 6 633 14 955 德州—济南—淄博—青州—潍坊—青岛 5 509 8 154 13 662 德州—济南—淄博—青州—潍坊—烟台 9 180 6 317 15 498 德州—济南—淄博—青州—潍坊 2 604 4 428 7 032 德州—济南—淄博—青州—潍坊—威海 5 753 6 132 11 885 聊城—济南—淄博—青州—潍坊—青岛 5 717 6 525 12 242 聊城—济南—淄博—青州—潍坊—烟台 9 498 4 948 14 446 聊城—济南—淄博—青州—潍坊 2 883 4 947 7 830 聊城—济南—淄博—青州—威海 7 254 5 216 12 470 菏泽—济南—淄博—青州—潍坊—青岛 6 482 5 062 11 544 菏泽—济南—淄博—青州—潍坊—烟台 12 771 3 440 16 212 菏泽—济南—淄博—青州—潍坊 2 731 3 162 5 893 菏泽—济南—淄博—青州—潍坊—威海 9 033 2 657 11 690 滨州—淄博—青州—潍坊—青岛 5 913 6 790 12 702 泰安—淄博—青州—潍坊 2 202 3 686 5 888 莱芜—淄博—青州—潍坊 1 791 3 525 5 316 菏泽—济南—淄博 3 466 1 468 4 934 聊城—济南—淄博 4 315 2 501 6 817 德州—济南—淄博 3 595 2 615 6 210 济南—淄博 4 849 3 132 7 981
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表 5 优化方案
Table 5. Optimization schemes
济青北线 年平均日交通量/103pcu 年平均月交通量/103pcu 年高峰月交通量/103pcu 四车道月通行能力/103pcu 六车道月通行能力/103pcu 八车道月通行能力/103pcu 当量交通量/103pcu 扩建 新建 济南—淄博 90 2 693 2 908 1 650 2 400 3 000 1 258 八车道 四车道 淄博—青州 89 2 668 2 882 1 650 2 400 3 000 1 232 八车道 四车道 青州—潍坊 89 2 668 2 882 1 650 2 400 3 000 1 232 八车道 四车道 潍坊—青岛 25 744 804 1 650 2 400 3 000 -846 否 否
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表 6 方案1计算结果
Table 6. Calculation result of scheme 1
济青北线 建设成本/(万元·km-1) 运输成本/[元·(pcu·km)-1] 年平均日交通量/103pcu 运输成本/万元 土地成本/万元 里程/km 优化前路网效率 优化后路网效率 优化指数 济南—淄博 2 940 2.91 90 26.12 707 92.8 1.63 0.90 2.15 淄博—青州 2 940 2.91 89 25.89 707 48.5 1.62 0.89 4.09 青州—潍坊 2 940 2.91 89 25.88 707 55.9 1.62 0.89 3.54 潍坊—青岛 2 940 2.91 25 7.22 707
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表 7 方案2计算结果
Table 7. Calculation result of scheme 2
济青北线 建设成本/(万元·km-1) 运输成本/[元·(pcu·km)-1] 年平均日交通量/103pcu 运输成本/万元 土地成本/万元 里程/km 优化前路网效率 优化后路网效率 优化指数 济南—淄博 4 200 2.91 90 26.12 1 010 75 1.63 0.90 1.87 淄博—青州 4 200 2.91 89 25.89 1 010 45 1.62 0.89 3.09 青州—潍坊 4 200 2.91 89 25.88 1 010 51 1.62 0.89 2.73 潍坊—青岛 4 200 2.91 25 7.22 1 010
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[1] 李淑庆, 李绍鹏. 主成分分析在路段运行状况评价中的应用[J]. 中国水运, 2008, 8(3): 68-69. doi: 10.3969/j.issn.1006-7973-C.2008.03.034LI Shu-qing, LI Shao-peng. The principal component analysis in the section of operation condition evaluation application[J]. China Water Transport, 2008, 8(3): 68-69. (in Chinese). doi: 10.3969/j.issn.1006-7973-C.2008.03.034 [2] 熊列强. 交通流理论及其在高速公路中的应用研究[D]. 武汉: 武汉理工大学, 2003.XIONG Lie-qiang. Research on the traffic flow theory and its application on the freeways[D]. Wuhan: Wuhan University of Technology, 2003. (in Chinese). [3] 杨小宝, 张宁, 关羽. 基于行为分析的道路通行能力中车道数因素研究[J]. 土木工程学报, 2009, 42(10): 104-110. doi: 10.3321/j.issn:1000-131X.2009.10.014YANG Xiao-bao, ZHANG Ning, GUAN Yu. Behavior-based analysis of the relationship between expressway capacity and number of lanes[J]. China Civil Engineering Journal, 2009, 42(10): 104-110. (in Chinese). doi: 10.3321/j.issn:1000-131X.2009.10.014 [4] 吴群琪, 袁长伟. 公路网规划研究进展与发展趋势[J]. 中国公路学报, 2007, 20(3): 91-96. doi: 10.3321/j.issn:1001-7372.2007.03.017WU Qun-qi, YUAN Chang-wei. Research progress and development tendency of highway network planning[J]. China Journal of Highway and Transport, 2007, 20(3): 91-96. (inChinese). doi: 10.3321/j.issn:1001-7372.2007.03.017 [5] 罗霞, 黄平. 高速公路网规划的几个关键问题[J]. 中国公路学报, 2001, 14(2): 96-98, 102. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200102024.htmLUO Xia, HUANG Ping. Several key questions of freeway network planning[J]. China Journal of Highway and Transport, 2001, 14(2): 96-98, 102. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL200102024.htm [6] 蔡翠. 交通区位理论在山东公路网发展战略与规划中的应用[D]. 长沙: 长沙交通学院, 2003.CAI Cui. Application of traffic location theory to highway network development strategy and planning of Shandong[D]. Changsha: Changsha Communications University, 2003. (in Chinese). [7] 盖春英, 裴玉龙. 市域公路网布局优化模型研究[J]. 公路交通科技, 2005, 22(10): 88-92. doi: 10.3969/j.issn.1002-0268.2005.10.023GAI Chun-ying, PEI Yu-long. Study on optimization model for city highway network[J]. Journal of Highway and Trans-portation Research and Development, 2005, 22(10): 88-92. (in Chinese). doi: 10.3969/j.issn.1002-0268.2005.10.023 [8] 孙孝文. 公路投资项目多目标决策研究[J]. 武汉理工大学学报: 交通科学与工程版, 2007, 31(4): 615-618. doi: 10.3963/j.issn.2095-3844.2007.04.013SUN Xiao-wen. Research on multi objective decision-making of road investment project[J]. Journal of Wuhan University of Technology: Transportation Science and Engineering, 2007, 31(4): 615-618. (in Chinese). doi: 10.3963/j.issn.2095-3844.2007.04.013 [9] 张航. 高等级公路路线方案优化研究[J]. 武汉理工大学学报: 交通科学与工程版, 2002, 26(4): 481-484. doi: 10.3963/j.issn.2095-3844.2002.04.018ZHANG Hang. On alignment optimization of expressway[J]. Journal of Wuhan University of Technology: Transportation Science and Engineering, 2002, 26(4): 481-484. (in Chinese). doi: 10.3963/j.issn.2095-3844.2002.04.018 [10] 张生瑞, 严宝杰. 交通运输系统协调发展的理论分析[J]. 长安大学学报: 自然科学版, 2002, 22(2): 51-53. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200202017.htmZHANG Sheng-rui, YAN Bao-jie. Analysis of the transpor-tation system coordination[J]. Journal of Chang'an University: Natural Science Edition, 2002, 22(2): 51-53. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200202017.htm [11] 赵建有, 袁华智, 蹇小平, 等. 城市低收入人群出行方式选择模型[J]. 长安大学学报: 自然科学版, 2012, 32(4): 65-69. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL201204015.htmZHAO Jian-you, YUAN Hua-zhi, JIAN Xiao-ping, et al. Selec-tion model of travel mode for unban low-income population[J]. Journal of Chang'an University: Natural Science Edition, 2012, 32(4): 65-69. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL201204015.htm [12] 胡卉, 程菱, 宣登殿, 等. 容量限制与运输模式联合选择的综合客运枢纽布局模型[J]. 交通运输工程学报, 2012, 12(4): 59-66. http://transport.chd.edu.cn/article/id/201204008HU Hui, CHENG Ling, XUAN Deng-dian, et al. Compre-hensive passenger hub layout model of combined selection for capacity limitation and transportation mode[J]. Journal of Traffic and Transportation Engineering, 2012, 12(4): 59-66. (in Chinese). http://transport.chd.edu.cn/article/id/201204008 -
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