基于熵权法与超效率SBM模型的综合运输效率

廖谨楦¹，刘杰^1*，郭建民²，申永生³，王喆⁴

1.山东交通学院交通与物流工程学院，山东 济南  250357；2.济南轨道交通集团有限公司，山东 济南  250014；

3.杭州城市大脑有限公司，浙江 杭州  310000；4.济南市规划设计研究院，山东 济南  250101

摘要：为提升区域综合交通资源配置效率、推动区域综合交通协同发展，以山东省综合运输效率为研究对象，构建考虑非期望产出的超效率松弛值测算（slacks-based measure，SBM）模型，采用熵权法计算环境污染指数，将国内生产总值（gross domestic product，GDP）与环境污染指数之比作为绿色GDP构建超效率SBM模型的期望产出指标，测算山东省综合运输效率，将综合运输效率分解为规模效率与纯技术效率，分析山东省综合运输效率的影响因素，提出改善途径。结果表明：绿色GDP与传统GDP对综合运输效率影响存在显著差异；综合运输效率的时间演化规律符合事实规律。

关键词：综合运输效率；超效率SBM模型；绿色GDP；效率分解

The comprehensive transportation efficiency based on entropy

weighted method and super efficiency SBM model

LIAO Jinxuan¹, LIU Jie^1*, GUO Jianmin², SHEN Yongsheng³, WANG Zhe⁴

1.School of Transportation and Logistics Engineering, Shandong Jiaotong University, Jinan 250357,China;

2.Jinan Rail Transit Group Co., Ltd., Jinan 250014,China;3.Hangzhou City Brain Co., Ltd., Hangzhou 310000,China;

4.Jinan City Planning and Design Institute, Jinan 250101, China

Abstract:To improve the efficiency of regional comprehensive transportation resources allocation and to promote the coordinated development of regional comprehensive transportation, taking the comprehensive transport efficiency in Shandong Province as the research object, the model of super efficiency slacks-based measure(SBM) concerning unexpected output is constructed, then the entropy weighted method is employed to calculate the environmental pollution index, after that, the ratio of gross domestic product(GDP) to environmental pollution index is taken as the expected output index of green GDP to build the super efficiency SBM model to calculate the comprehensive transport efficiency in Shandong Province. The comprehensive transport efficiency is decomposed into scale efficiency and technical efficiency, the factors that affected the comprehensive transport efficiency in Shandong Province are analyzed and the measures for improving the comprehensive transport efficiency in Shandong Province are proposed. The results show that there are significant differences in terms of comprehensive transport efficiency influence from green GDP and traditional GDP respectively. The law of timing evolution about the comprehensive transport efficiency is in line with the law of fact.

Keywords:comprehensive transportation efficiency; super efficiency SBM model; green GDP; efficiency decomposition