DEA model of land use and traffic coordination for regulatory detailed planning unit with preference constraints
-
摘要: 为定量评价城市控规阶段交通与土地利用的协调程度, 分析了城市控规单元用地与交通协调的相互机理, 指出了传统数据包络分析将输入、输出指标影响无差别处理与实际情况不符; 针对控规单元特点和实际控制需求, 建立了土地利用与交通协调的指标体系; 根据数学规划的约束锥理论, 借助层次分析法的思想, 构建了反映用地指标和交通指标偏好的约束锥模型, 将数据包络评价的客观分析与层次分析的主观判断科学结合, 以隶属度函数判定土地利用与交通系统互为投入产出情况下的相互协调度, 进而定量评价控规单元交通与用地不同规划方案的相互协调效果; 以邯郸市南湖管理单元3为背景, 设定22个外部交通小区和68个内部交通小区, 预测了4类土地利用指标和9类城市交通指标, 计算了模型输入指标和输出指标的偏好约束条件。研究结果表明: 提出的模型克服了层次分析法过于依赖主观意向的局限, 弥补了数据包络分析忽视决策者偏好的不足, 缩小了土地利用与交通协调分析结果与实际状况之间的偏差; 采用原始模型对6个街区相互协调度的计算结果均为0.80以上, 全部为协调状态, 采用改进后模型对其中4个街区相互协调度的计算结果为0.32~0.57, 为不协调状态, 2个街区相互协调度为0.80以上, 与实际情况更相符。Abstract: To quantitatively evaluate the coordination degree of traffic and land use in urban regulatory detailed planning stage, the mutual mechanism of land use and traffic coordination for urban regulatory detailed planning unit was analyzed.It was pointed out that the traditional data envelopment analysis (DEA) makes an undifferentiated treatment between input indexes and output indexes, which was not consistent with actual situation.In view of the characteristics of regulatory detailed planning unit and actual control demand, the index system of land use and traffic coordination was established. According to the constraint cone theory based on mathematical programming, using the aid of analytic hierarchy process (AHP), the constraint cone model responsing land index and traffic index preferences was constructed.The objective analysis of data envelopment evaluation was combined with the subjective judgment of analytichierarchy process.The mutual coordination degree of land use and traffic system in the cases of input and output was determined by using membership degree function.Therefore, the mutual coordination effects of the different planning schemes for the traffic and land use of regulatory detailed planning unit were quantitatively evaluated.Based on the No.3 management unit of Nanhu in Handan City, 22 external traffic zones and 68 internal traffic zones were set up.4 types of land use indicators and 9 types of urban traffic indicators were predicted.The preference constraints of the input index and output index of proposed model were calculated.Analysis result shows that the proposed model overcomes the limitation of too dependent on subjective intention in AHP, and makes up for the deficiency of ignoring the decision preference in DEA.The deviation between the results of land use and traffic coordination analysis and the actual situation reduces.The mutual coordination degrees of 6 blocks calculated by the original model are all more than 0.80, all of which are coordinated.After improvement, the mutual coordination degrees of 4 blocks are 0.32-0.57, all of which are incongruous.The mutual coordination degrees of the other 2 blocks are over 0.80, which is more consistent with the actual situation.
-
表 1 随机一致性指标取值
Table 1. Values of random consistency index
表 2 各决策单元土地利用指标值
Table 2. Land use index values of each DMU
表 3 各决策单元交通系统指标值
Table 3. Traffic system index values of each DMU
表 4 主成分特征值与贡献率
Table 4. Eigenvalues and contribution rates of principal components
表 5 各决策单元协调度
Table 5. Coordination degrees of each DMU
-
[1] 张野. 控规单元土地利用与城市交通协调方法研究[D]. 北京: 北京交通大学, 2016.ZHANG Ye. Study on coordination method between land use and urban traffic for unit regulatory detailed planning[D]. Beijing: Beijing Jiaotong University, 2016. (in Chinese). [2] GWAMNA E S, YUSOFF W Z W, ISMAIL M F. Determinants of land use and property value[J]. Advanced Science Letters, 2015, 21 (5): 1150-1153. doi: 10.1166/asl.2015.6065 [3] 田丽君, 于宁, 蔡乌赶. 轨道交通建设对沿线居住区位选择的影响[J]. 交通运输工程学报, 2017, 17 (4): 130-139. doi: 10.3969/j.issn.1671-1637.2017.04.014TIAN Li-jun, YU Ning, CAI Wu-gan. Impact of rail transit construction on residential location choice[J]. Journal of Traffic and Transportation Engineering, 2017, 17 (4): 130-139. (in Chinese). doi: 10.3969/j.issn.1671-1637.2017.04.014 [4] MURPHY E. Urban spatial location advantage: the dual of the transportation problem and its implications for land-use and transport planning[J]. Transportation Research Part A: Policy and Practice, 2012, 46 (1): 91-101. doi: 10.1016/j.tra.2011.09.017 [5] CAO Xin-yu, PORTER-NELSON D. Real estate development in anticipation of the green line light rail transit in St. Paul[J]. Transport Policy, 2016, 51: 24-32. doi: 10.1016/j.tranpol.2016.01.007 [6] 胡盼, 杨晓光. 影响出行决策的交通质量多因素感知特征[J]. 交通运输工程学报, 2017, 17 (2): 117-125. doi: 10.3969/j.issn.1671-1637.2017.02.013HU Pan, YANG Xiao-guang. Multiple-factor perceived features of traffic quality influencing trip decision[J]. Journal of Traffic and Transportation Engineering, 2017, 17 (2): 117-125. (in Chinese). doi: 10.3969/j.issn.1671-1637.2017.02.013 [7] 王秋平, 华震, 孙皓. 历史街区慢行交通分担量的博弈预测方法[J]. 中国公路学报, 2016, 29 (9): 128-135. doi: 10.3969/j.issn.1001-7372.2016.09.017WANG Qiu-ping, HUA Zhen, SUN Hao. Share amount prediction method of slow transportation in historical district based on non-cooperation game[J]. China Journal of Highway and Transport, 2016, 29 (9): 128-135. (in Chinese). doi: 10.3969/j.issn.1001-7372.2016.09.017 [8] YING Jiang-qian. Optimization for multiclass residential location models with congestible transportation networks[J]. Transportation Science, 2015, 49 (3): 452-471. doi: 10.1287/trsc.2014.0522 [9] CHANG T H, TSENG J S, YE Y H. Green safety index representing traffic levels of service for online application[J]. IET Intelligent Transport Systems, 2016, 10 (6): 421-427. doi: 10.1049/iet-its.2015.0086 [10] AHMAD F, MAHMUD S A, YOUSAF F Z. Shortest processing time scheduling to reduce traffic congestion in dense urban areas[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017, 47 (5): 838-855. doi: 10.1109/TSMC.2016.2521838 [11] 罗铭, 陈艳艳, 刘小明. 交通-土地利用复合系统协调度模型研究[J]. 武汉理工大学学报: 交通科学与工程版, 2008, 32 (4): 585-588. doi: 10.3963/j.issn.2095-3844.2008.04.003LUO Ming, CHEN Yan-yan, LIU Xiao-ming. Study on coordination degree model between urban transport and land use[J]. Journal of Wuhan University of Technology: Transportation Science and Engineering, 2008, 32 (4): 585-588. (in Chinese). doi: 10.3963/j.issn.2095-3844.2008.04.003 [12] 王秋平, 丁猛. 历史街区交通微循环优化的双层规划模型[J]. 交通运输工程学报, 2016, 16 (3): 125-132. doi: 10.3969/j.issn.1671-1637.2016.03.015WANG Qiu-ping, DING Meng. Bi-level programming model of traffic microcirculation optimization for historical district[J]. Journal of Traffic and Transportation Engineering, 2016, 16 (3): 125-132. (in Chinese). doi: 10.3969/j.issn.1671-1637.2016.03.015 [13] 郑璐. 城市单元控规土地利用与交通协调关系研究[D]. 北京: 北京交通大学, 2011.ZHENG Lu. Study on the coordinative relations of urban land use and traffic for unit regulatory detailed planning[D]. Beijing: Beijing Jiaotong University, 2011. (in Chinese). [14] 郭源园, 李莉, 李贵才, 等. 国内外城市土地利用与交通相互作用研究综述[J]. 国际城市规划, 2015, 30 (3): 29-36. https://www.cnki.com.cn/Article/CJFDTOTAL-GWCG201503005.htmGUO Yuan-yuan, LI Li, LI Gui-cai, et al. Overview of interaction between urban land use and transportation[J]. Urban Planning International, 2015, 30 (3): 29-36. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GWCG201503005.htm [15] 张兵, 曾明华, 胡启洲. 基于AHP约束锥的区域交通网络DEA评价模型[J]. 公路工程, 2015, 40 (6): 59-63, 95. doi: 10.3969/j.issn.1674-0610.2015.06.014ZHANG Bing, ZENG Ming-hua, HU Qi-zhou. Regional transportation network evaluating based on DEA Model with AHP restraint cone[J]. Highway Engineering, 2015, 40 (6): 59-63, 95. (in Chinese). doi: 10.3969/j.issn.1674-0610.2015.06.014 [16] XIE Qi-wei, DAI Qiao-zhi, LI Yong-jun, et al. Increasing the discriminatory power of DEA using shannon's entropy[J]. Entropy, 2014, 16 (3): 1571-1585. doi: 10.3390/e16031571 [17] GENNUSA M, FERRANTE P, CASTO B, et al. An integrated environmental indicator for urban transportation systems: description and application[J]. Energies, 2015, 8 (10): 11076-11094. doi: 10.3390/en81011076 [18] 李霞, 邵春福, 贾洪飞. 土地利用与居民出行生成模型及其参数标定[J]. 吉林大学学报: 工学版, 2007, 37 (6): 1300-1303. https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY200706015.htmLI Xia, SHAO Chun-fu, JIA Hong-fei. Land use and resident trip generation model and its parameter calibration[J]. Journal of Jilin University: Engineering and Technology Edition, 2007, 37 (6): 1300-1303. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY200706015.htm [19] 李美娟, 陈国宏. 数据包络分析法(DEA) 的研究与应用[J]. 中国工程科学, 2003, 5 (6): 88-94. doi: 10.3969/j.issn.1009-1742.2003.06.016LI Mei-juan, CHEN Guo-hong. A review on the research and application of DEA[J]. Engineering Science, 2003, 5 (6): 88-94. (in Chinese). doi: 10.3969/j.issn.1009-1742.2003.06.016 [20] 张勇, 屠宁雯, 姚林泉. 城市道路交通网络脆弱性辨识方法[J]. 中国公路学报, 2013, 26 (4): 154-161. doi: 10.3969/j.issn.1001-7372.2013.04.021ZHANG Yong, TU Ning-wen, YAO Lin-quan. Urban road traffic network vulnerability identification method[J]. China Journal of Highway and Transport, 2013, 26 (4): 154-161. (in Chinese). doi: 10.3969/j.issn.1001-7372.2013.04.021 [21] LI Xin, LIU Yue, WANG Yao-jun, et al. Evaluating transit operator efficiency: an enhanced DEA model with constrained fuzzy-AHP cones[J]. Journal of Traffic and Transportation Engineering: English Edition, 2016, 3 (3): 215-225. doi: 10.1016/j.jtte.2016.05.004 [22] JIANG Qi-mi, CHEN Chun-hsien. A multi-dimensional fuzzy decision support strategy[J]. Decision Support Systems, 2005, 38 (4): 591-598. doi: 10.1016/j.dss.2003.08.003 [23] OUYANG Yan-feng, GEROLIMINIS N, NIE Y M. Optimization of unban transportation service networks[J]. Transportation Research Part B: Methodological, 2015, 81: 331-332. doi: 10.1016/j.trb.2015.09.006 [24] 陈海涛. 带有因子约束锥的DEA模型[J]. 数学的实践与认识, 2010, 40 (4): 53-56. https://www.cnki.com.cn/Article/CJFDTOTAL-SSJS201004010.htmCHEN Hai-tao. A DEA model with factor of restraint cone[J]. Mathematics in Practice and Theory, 2010, 40 (4): 53-56. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SSJS201004010.htm [25] 朱乔. 数据包络分析(DEA) 方法综述与展望[J]. 系统工程理论方法应用, 1994, 3 (4): 1-9. https://www.cnki.com.cn/Article/CJFDTOTAL-XTGL404.000.htmZHU Qiao. Data envelopment analysis: a review and visions for future research[J]. Systems Engineering-Theory Methodology Applications, 1994, 3 (4): 1-9. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTGL404.000.htm [26] SINUANY-STERN Z, FRIEDMAN L. DEA and the discriminant analysis of ratios for ranking units[J]. European Journal of Operational Research, 1998, 111 (3): 470-478. doi: 10.1016/S0377-2217(97)00313-5