A hybrid data envelopment analysis and multi-attribute decision making approach to sustainability assessment

The concept of sustainability consists of three main dimensions: environmental, techno-economic, and social. Measuring the sustainability status of a system or technology is a significant challenge, especially when it needs to consider a large number of attributes in each dimension of sustainability. In this study, we first propose a hybrid approach, involving data envelopment analysis (DEA) and a multi-attribute decision making (MADM) methodologies, for computing an index for each dimension of sustainability, and then we define the overall sustainability index as the mean of the three measured indexes. Towards this end, we define new concepts of efficiency and cross-efficiency of order (p, q) where p and q are the number of inputs and outputs, respectively. For a given (p, q) , we address the problem of finding efficiency of order (p, q) by developing a novel DEA-based selecting method. Finally, we define the sustainability index as a weighted sum of all possible cross-efficiencies of order (p, q) . Form a computational viewpoint, the proposed selecting model significantly decreases the computational burden in comparison with the successive solving of traditional DEA models. A case study of the electricity-generation technologies in the United Kingdom is taken as a real-world example to illustrate the potential application of our method.     

基于模糊期望值的模糊DEA 交叉效率评价方法

基于模糊DEA的交叉效率评价方法研究是一个崭新的研究课题,有着广阔的应用前景。结合基于模糊期望值的模糊 DEA 模型和交叉效率原理,提出一种新的交叉效率的评价方法。该方法首先求出基于模糊期望值的最优效率值权重,然后由这组模糊最优权重求解他评效率并构造交叉效率矩阵,最后根据求出的模糊期望交叉效率值对各DMU进行排序。     

输入输出具有模糊数的供应商评价——基于DEA博弈交叉效率方法

在供应商全部输入输出值中,模糊数出现比例不大的情况下,提出首先将个别出现的模糊数进行去模糊化处理,然后基于DEA博弈交叉效率模型对供应商进行评价。所提出方法不仅克服了已有相关文献解不唯一的问题,考虑了供应商之间的竞争,还能处理非准确值,因此与已有文献相比,结果更具有说服力。所提出方法最后被应用于一个第三方物流服务供应商评价实例。     

DEA cross-efficiency aggregation method based upon Shannon entropy

Existing approaches for DEA cross-efficiency evaluation are mainly focused on the calculation of cross-efficiency matrix but pay little attention to the aggregation of the efficiencies in the cross-efficiency matrix. The most widely used approach is to aggregate the efficiencies in each row or column in the cross-efficiency matrix with equal weights into an average cross-efficiency score for each Decision Making Unit (DMU) and view it as the overall performance measurement of the DMU. This paper focuses on the aggregation process of the efficiencies in the cross-efficiency matrix and proposes the use of Shannon entropy for cross-efficiency aggregation. In the study, we propose an entropy model to generate a set of weights for aggregating and determining the ultimate cross-efficiency instead of the traditional average cross-efficiency. We prove that the set of weight is a unique global optimal solution which can reflect the goodness of this method. Finally, two examples of a flexible manufacturing system and 27 industrial robots are illustrated to examine the validity of the proposed method.     

DEA交叉模型融合熵值法的战役仓库航材保障能力评估

目的 为科学地检验评估空军战役仓库的航材保障能力,提出构建基于数据包络分析(DEA)法的航材保障能力评估模型.方法 首先确定能够表达战役仓库航材保障军事、经济特性的评估指标,建立基于数据包络分析法的评估模型,计算出各战役仓库的综合交叉效率值,以实现待评估战役仓库航材保障能力的排序.结果 运用模型对15个战役仓库进行实例分析,得出各战役仓库的交叉效率值为0.69048～0.82253,第15号战役仓库的效率值最高,与实际情况相符合;并通过对比验证了新模型具有更好的排序效果.结论 新模型可以为航材保障能力评估工作提供科学依据.     

基于交叉效率排序多目标进化算法的备件供应优化

为了对备件供应网络进行优化并制定最优供应方案,以缩短总供应时间、减少供应成本和降低中断风险为目标,以备件满足度、库存容量等为约束建立了多目标优化模型。基于交叉效率排序多目标进化算法求得模型的非支配解集,同时决策出最优解。优化过程中采用改进数据包络分析计算各最优解的二次目标交叉效率,指导算法朝最优效率个体收敛,对求得的非支配解进行排序从而选择出最优方案。算例表明：通过交叉效率排序多目标进化算法优化得到了13个互不支配的备件供应方案,且确定了交叉效率为0.927 8的方案为最优方案;新算法优于未采用排序和采用自评效率排序的多目标进化算法。     

DEA cross-efficiency evaluation based on satisfaction degree: an application to technology selection

Data envelopment analysis (DEA) has been extended to cross-efficiency evaluation to provide better discrimination and ranking of decision-making units (DMUs). However, the non-uniqueness of optimal weights in the traditional DEA models (CCR and BCC models) has reduced the usefulness of the DEA cross-efficiency evaluation method. To solve this problem, we introduce the concept of the satisfaction degree of a DMU towards a set of optimal weights for another DMU. Then, a new DEA cross-efficiency evaluation approach, which contains a maxmin model and two algorithms, is proposed based on the satisfaction degrees of the DMUs. Our maxmin model and algorithm 1 can obtain for each DMU an optimal set of weights that maximises the least satisfaction degrees among all the other DMUs. Further, our algorithm 2 can then be used to guarantee the uniqueness of the optimal weights for each DMU. Finally, our approach is applied to a real-world case study of technology selection.     

Supplier evaluation based on Nash bargaining game model

Traditional DEA method is improper for supplier evaluation and selection, as it adopts varying weights in evaluation, and fails to consider competition among the suppliers. In order to solve these two problems, Nash bargaining game DEA model is applied to supplier evaluation in present paper. However, there is a non-uniqueness problem with Nash bargaining game efficiency of supplier in existing Nash bargaining game DEA model. The existing Nash bargaining game DEA model is improved in present paper on this issue, then the improved model is applied to the third party logistics service provider evaluation. The result of supplier evaluation based on the improved model is more persuasive compared with the existing research achievement, owing to adopting common weights in evaluation, and the game between suppliers being taken account.     

基于决策单元异质性的群组交叉效率评价方法

交叉效率评价方法是数据包络分析（DEA）的拓展工具,但是现存交叉效率方法是对所有决策单元（DMUs）统一测评,没有考虑决策单元间的异质性问题。提出了一种考虑决策单元异质性的群组交叉效率模型,将具有异质性的群组间效率值进行合理集结的绩效评价方法。运用仁慈型交叉效率模型分析各群组内部的相对效率值;运用改进的熵权法为群组内部各决策单元分配适当权重,得到群组整体的最优权重向量;运用传统交叉效率模型评价与分析群组之间的相对效率值,并以此进行综合排序。为证明该方法具有理论与适用效力,2015年应用于16家中国商业银行的绩效评价,结果表明该方法行之有效。