Prediction Model of Data Envelopment Analysis with Undesirable Outputs

Data envelopment analysis (DEA) has become a standard non parametric approach to productivity analysis, especially to relative efficiency analysis of decision making units (DMUs). Extended to the prediction field, it can solve the prediction problem with multiple inputs and outputs which can not be solved easily by the regression analysis method.But the traditional DEA models can not solve the problem with undesirable outputs,so in this paper the inherent relationship between goal programming and the DEA method based on the relationship between multiple goal programming and goal programming is explored,and a mixed DEA model which can make all factors of inputs and undesirable outputs decrease in different proportions is built.And at the same time,all the factors of desirable outputs increase in different proportions.

AIDS Treatments Efficiency Analysis Based on Cost Efficiency Data Envelopment Analysis Model

Three data envelopment analysis (DEA) models were used to analyse the relative efficiencies of four AIDS treatments in AIDS Clinical Trial Group (ACTG) Study 193A(1 309 patients in total, classified into 4 age groups). Results from the output-oriented BCC model show that Treatment 4 ( 600 mg of zidovudine plus 400 mg of didanosine plus 400 mg of nevirapine) is particularly efficient for age group 14—25, but not efficient for the older age groups; Treatment 1 (600 mg of zidovudine alternating monthly with 400 mg of didanosine)and Treatment 2 (600 mg of zidovudine plus 2.25 mg of zalcitabine) are efficient for the age groups 35—45 and 45— ; age group 25—35 does not have a particularly efficient treatment, but Treatments 1 and 2 are relatively good. The cost efficiency BCC model, which takes the treatment cost into account, gives similar results as the output-oriented model. Results from the indirect output-oriented BCC model, which allows the replacement among medicines, show that the efficiency of Treatment 2 has greatly decreased compared with that of the output-oriented model, and a set of optimal medicine amounts for different age groups is obtained.

Data Envelopment Analysis Model for Assessment of Safety and Security of Intermodal Transportation Facilities

Following September 11, 2001, numerous security policies have been created which have caused a number of unique challenges in planning for transportation networks. Transportation policy and funding to improve the transportation infrastructure has historically been addressed as individual modes not as intermodal transportation. As a consequence of this inopportune allocation, it is now apparent that the transportation modes are disconnected and have unequal levels of security and efficiency. Improved intermodal connectivity has therefore been identified as one of the main challenges to achieve a safer, secure, and productive transportation network. Tools need to be refined for collaboration and consensus building to serve as catalysts for efficient transportation solutions. In this study, a mathematical model using data envelopment analysis (DEA) was developed and investigated to assess the safety and security of intermodal transportation facilities. The model identifies the best and worst performers by assessing several safety and security-related variables. The DEA model can assess the efficiency level of safety and security of intermodal facilities and identify potential solutions for improvement. The DEA methodology presented is general in its framework and can be applied to any network of intermodal transportation systems. Availability of credible data, complemented with DEA methodology will help in management decisions making concrete safety and security decisions for intermodal transportation facilities.

基于模糊DEMATEL-超效率DEA的可再生能源发电技术综合效益评估方法

“双碳”目标下,各类可再生能源发电技术发展迅速,综合权衡不同可再生能源发电方案的综合效益对可再生能源的优化设计具有重要意义。综合考虑经济效益、环境效益、能源效益和社会效益4个层面,提出了一种基于模糊决策试验和评价实验(decision making trial and evaluation laboratory,DEMATEL)与超效率数据包络分析(data envelopment analysis,DEA)模型的可再生能源发电技术综合效益评估方法。该方法分为投入-产出指标体系构建和综合评估2个阶段。首先,利用三角直觉模糊数处理模糊评价信息,将其与DEMATEL相结合量化各指标之间相互影响关系,基于指标间逻辑分析结果建立投入-产出评估指标体系。然后,基于超效率DEA模型对各可再生能源发电方案进行评估排序,结合投入冗余和产出不足分析结果给出各方案的针对性改善建议,以期为进一步选择和确定可再生能源产业发展战略提供参考。最后以某省10类可再生能源发电单元为研究对象,基于所提研究方法进行综合评估和分析,并与多准则妥协解排序法和熵权法进行对比分析,验证了所提方法的有效性。

某F综合医院临床科室运行效率评价研究——基于超效率DEA-Malmquist模型

目的分析某F综合医院部分临床科室投入产出数据,探讨在强化医院精细化管理的时代背景下,如何合理配置资源,提高各科室运行效率。方法应用数据包络分析的超效率模型和Malmquist指数对2019年1月—2022年12月期间福建省某F综合性三甲医院30个临床科室的投入产出数据进行分析。结果2019—2022年30个临床科室DEA有效的数量分别为11、11、14和14个;Malmquist指数均值为1.095,全要素生产率年平均增长9.5%。结论样本医院整体运行效率呈逐渐提高的状态,结合超效率DEA和Malmquist指数的结果,可以有针对性地推进医院精细化管理,加强资源配置的合理性,提高科室人均效能。

基于双目标DEA模型的中国省级高技术产业的创新效率评价

科学合理地评价高技术产业的创新效率,对于提升其国际科技竞争力具有重要意义。基于创新价值链理论,高技术产业创新活动一般被划分为研发和商业化两个前后连续的子阶段。本文基于合作共赢的思想,从研发子阶段和商业化子阶段合作视角出发,建立双目标DEA模型。然后对中国高技术产业在2013—2015年(包括三个连续的创新周期,即2013年代表2013—2015年;2014年代表2014—2016年;2015年代表2015—2017年)的整体创新效率、研发效率和商业化效率进行评价。实证结果表明:中国高技术产业的整体创新效率偏低,具有较大的改进空间;高技术产业的研发效率远大于商业化效率,较低的商业化效率是导致整体创新效率偏低的主因;高技术产业的整体创新效率、研发效率和商业化效率存在省际和地区之间的差异。最后,根据研发效率和商业化效率,本文将29个省级高技术产业划分为四类,为每个省级高技术产业创新效率的提升提出具体策略。本文丰富了评价理论与方法,为高技术产业的创新效率评价提供了一个新的视角,具有重要的理论价值和实践意义。

基于CH-DEA模型的中国制造业产业安全研究

2020年初,新冠疫情在世界范围内全面暴发,中国制造业受冲击显著,影响了中国整体经济健康稳定的发展。因此,分析中国制造业产业安全态势以应对制造业安全风险势在必行。创新地提出CH-DEA方法,并基于产业安全理论建立了制造业安全评价指标体系,从而科学合理地认识中国制造业产业安全现状。结果显示,2005~2020年期间中国制造业产业安全度总体呈现上升趋势,即制造业应对风险等突发事件能力及独立发展能力不断提高。微观障碍因素分析发现,现阶段中国制造业所面临的主要障碍是规模缩减,应利用科研创新能力提升制造业增加值。宏观环境影响因素分析显示,制造业产业安全与GDP、产品市场显著正相关。产品市场的良性竞争可以促使制造企业投入更多的资金采取规模化生产并更新设备,从而提升行业竞争力。

Efficiency assessment of coal mine safety input by data envelopment analysis

In recent years improper allocation of safety input has prevailed in coal mines in China, which resulted in the frequent accidents in coal mining operation. A comprehensive assessment of the input efficiency of coal mine safety should lead to improved efficiency in the use of funds and management resources. This helps government and enterprise managers better understand how safety inputs are used and to optimize allocation of resources. Study on coal mine＇s efficiency assessment of safety input was con- ducted in this paper. A C^2R model with non-Archimedean infinitesimal vector based on output is established after consideration of the input characteristics and the model properties. An assessment of an operating mine was done using a specific set of input and output criteria. It is found that the safety input was efficient in 2002 and 2005 and was weakly efficient in 2003. However, the efficiency was relatively low in both 2001 and 2004. The safety input resources can be optimized and adjusted by means of projection theory. Such analysis shows that, on average in 2001 and 2004, 45% of the expended funds could have been saved. Likewise, 10% of the safety management and technical staff could have been eliminated and working hours devoted to safety could have been reduced by 12%. These conditions could have Riven the same results.

Robust data envelopment analysis based MCDM with the consideration of uncertain data

The application of data envelopment analysis （DEA） as a multiple criteria decision making （MCDM） technique has been gaining more and more attention in recent research. In the practice of applying DEA approach, the appearance of uncertainties on input and output data of decision making unit （DMU） might make the nominal solution infeasible and lead to the efficiency scores meaningless from practical view. This paper analyzes the impact of data uncertainty on the evaluation results of DEA, and proposes several robust DEA models based on the adaptation of recently developed robust optimization approaches, which would be immune against input and output data uncertainties. The robust DEA models developed are based on input-oriented and outputoriented CCR model, respectively, when the uncertainties appear in output data and input data separately. Furthermore, the robust DEA models could deal with random symmetric uncertainty and unknown-but-bounded uncertainty, in both of which the distributions of the random data entries are permitted to be unknown. The robust DEA models are implemented in a numerical example and the efficiency scores and rankings of these models are compared. The results indicate that the robust DEA approach could be a more reliable method for efficiency evaluation and ranking in MCDM problems.

产学研协同创新最佳成本分摊策略——基于共享投入两阶段数据包络分析(DEA)模型的研究

产学研协同是促进科技创新转化为产业创新的重要动力,合理分摊创新成本是加强产学研深度融合的重要保障。考虑产学研协同创新中决策者风险偏好差异化情境,基于前景理论构建技术研发与成果转化的两阶段数据包络分析(DEA)固定成本分摊模型,并进一步考虑提高双方持续合作可能性,将满意度嵌入前景两阶段DEA固定成本分摊模型,探求产学研协同创新的最佳成本分摊策略。结果表明:学研方与企业方的风险偏好对固定成本分摊方案具有一定的影响,但是这种影响是有限的;与分散决策环境相比,集中决策环境下的固定成本分摊方案更均衡且满意度更高。为此,建议在产学研协同创新过程中,学研方和企业方集中决策、协商风险应对方案,切实建立风险共担、利益共享的协同创新机制。

Empirical Analysis of China's Direct Food Subsidy Policy Based on DEA Model: A Case Study of Direct Food Subsidy Policy in Shandong Province

The direct food subsidy is an important agricultural subsidy policy under current conditions,more efficient than grain price protection policy and other policies,and it is of great importance to the agricultural development,but this policy will not meet the interests of society in the long run. In this paper,we make an empirical study with the direct food subsidy policy in Shandong Province as an example,focusing on the analysis of the efficiency of policy implementation in different regions. Study suggests that direct food subsidy has made some achievements,but there are some problems in practice,such as low standard for direct food subsidy policy,less subsidy varieties,generally low efficiency of direct food subsidy policy,lack of unified policy implementation,serious waste of money and inefficient supervision during the subsidy policy implementation process. In order to improve the efficiency of direct food subsidy,it is necessary to raise standard for subsidy,and expand the scope of subsidy varieties; unify the policy,and make the policy suit local circumstances; improve the subsidy mechanism,regulate government behavior,and strengthen supervision.

Data envelopment analysis procedure with two non-homogeneous DMU groups

The classic data envelopment analysis（DEA） model is used to evaluate decision-making units＇（DMUs） efficiency under the assumption that all DMUs are evaluated with the same criteria setting. Recently, new researches begin to focus on the efficiency analysis of non-homogeneous DMU arose by real practices such as the evaluation of departments in a university, where departments argue for the adoption of different criteria based on their disciplinary characteristics. A DEA procedure is proposed in this paper to address the efficiency analysis of two non-homogeneous DMU groups. Firstly, an analytical framework is established to compromise diversified input and output（IO） criteria from two nonhomogenous groups. Then, a criteria fusion operation is designed to obtain different DEA analysis strategies. Meanwhile, Friedman test is introduced to analyze the consistency of all efficiency results produced by different strategies. Next, ordered weighted averaging（OWA） operators are applied to integrate different information to reach final conclusions. Finally, a numerical example is used to illustrate the proposed method. The result indicates that the proposed method relaxes the restriction of the classical DEA model,and can provide more analytical flexibility to address different decision analysis scenarios arose from practical applications.

基于超效率DEA模型的陆军部队指挥所指挥效率评价

指挥所指挥效率评估是复杂的系统性问题,对提高部队指挥、作战、保障能力具有重要意义。主要运用数据包络的方法,不探讨指挥所的内部结构问题,通过对陆军典型部队指挥所输入输出数据进行分析,运用CCR-DEA和超效率DEA模型,对指挥效率问题进行研究排序,并针对输入数据提出改进建议,评估方法简单、可操作性强,对于陆军部队指挥所构建和指挥能力提升具有重要意义。

基于效用网络DEA的银行运营绩效评价

针对两阶段网络数据包络分析法(data envelopment analysis,DEA)中加法和乘法效率分解模型所存在的问题,文章提出期望效用理论分析框架下的效率评价方法。首先考虑子系统的内在关系,给出子系统期望效率的定义,并通过蒙特卡洛仿真算法进行求解;然后利用多属性效用函数和不含投入的DEA模型集成得到系统总效率;进而将该方法拓展到一般性的多阶段序列网络数据包络分析法结构中,扩大其应用范围;最后通过对中国上市商业银行运营效率的评价来验证方法的有效性与合理性。

基于DEA和Malmquist指数的广东省渔业效率研究

【目的】分析掌握广东渔业的产出效率,为发展可持续的低耗高产渔业提供数据参考。【方法】基于数据包络分析(DEA)及Malmquist指数,对2011—2022年期间广东渔业综合技术效率和全要素生产率指数及其分解进行测算和分析,并与全国平均值进行对比。【结果】广东渔业综合技术效率每年均高于全国平均水平,但2011—2014年、2018—2019年和2021年广东渔业规模报酬呈现递减。通过对广东水产养殖和水产品捕捞的综合技术效率分别进行测算,发现2011—2022年期间广东水产养殖的综合技术效率较高,除2013年和2014年外,均为DEA有效。将DEA无效年份的广东水产养殖和水产品捕捞在生产前沿面上的投影调整为DEA有效,结果显示,2013年和2014年广东水产养殖投入的冗余率分别为5.98%和10.46%,而2011—2014年、2018—2019年和2021年广东水产品捕捞投入的冗余率在39.73%~74.27%之间,说明水产品捕捞的过度投入以及由此引发的捕捞综合技术效率低下是造成2011—2014年、2018—2019年和2021年广东渔业规模报酬递减的主要原因。广东渔业的技术进步和全要素生产率上升幅度与全国平均水平相差较远,全要素生产率和技术进步指数均比全国平均增幅低4.7%,说明广东省在渔业技术进步方面有较大提升空间。【结论】建议广东加大渔业科技的投入力度,加强渔业技术创新,以促进渔业技术进步和提高全要素生产率;加快渔业产业结构调整,合理布局养殖和捕捞规模,以解决广东渔业规模报酬递减的问题;加强渔业资源保护和增殖放流,利用自然生产力增加可捕捞渔业资源;加强水产良种创制及养殖新模式和新技术的开发,进一步拓展水产养殖空间和提高水产养殖的产出效率。

基于DEA-Tobit模型的华东地区公共体育服务效率研究

公共体育服务是政府为满足公民体育需求所提供的一种体育服务措施,而效率评价是衡量其发展的重要手段。科学的公共体育服务效率评价,能够客观清晰地反映公共体育服务发展情况。构建DEA模型对2016—2018年我国华东地区六省一市的公共体育服务效率评价指标进行测算分析,并运用Tobit模型进行实证检验,探究可能对公共体育服务效率带来影响的外部因素。结果显示:(1)华东地区2016—2018年公共体育服务综合效率值为0.931,纯技术效率值为0.992,规模效率值为0.937,规模报酬呈现递减趋势;(2)地区经济发展水平、人口密度和体育管理人员规模与公共体育服务效率呈正相关,与受教育水平呈负相关。根据研究结果分析华东地区公共体育服务效率问题与差距,提出以下对策建议:减少区域短板,促进协同发展;调整资源配置,提升供给质量;健全监督机制,完善管理体系。

A New Approach for Ranking Efficient Units in Data Envelopment Analysis and Application to a Sample of Vietnamese Agricultural Bank Branches

This paper proposes a new approach for ranking efficiency units in data envelopment analysis as a modification of the super-efficiency models developed by Tone [1]. The new approach based on slacks-based measure of efficiency (SBM) for dealing with objective function used to classify all of the decision-making units allows the ranking of all inefficient DMUs and overcomes the disadvantages of infeasibility. This method also is applied to rank super-efficient scores for the sample of 145 agricultural bank branches in Viet Nam during 2007-2010. We then compare the estimated results from the new SCI model and the exsisting SBM model by using some statistical tests.

The Treatment of Non-zero Slacks in Data Envelopment Analysis

The paper studies the non-zero slacks in data envelopment analysis. A procedure is developed for the treatment of non-zero slacks. DEA projections can be done just in one step.

基于DEA-Malmquist方法的新疆与全国小麦主产区生产效率动态比较研究

基于2004—2021年我国十大小麦主产区和新疆小麦的成本收益数据,运用数据包络分析模型(DEA)和全要素生产率指数(Malmquist)、从地域横向和时间纵向上分析了新疆小麦全要素生产率的现状及存在的问题。研究结果发现:(1)规模效率、综合技术效率和纯技术效率在两个阶段上显著,新疆小麦生产效率主要受技术水平制约。(2)新疆小麦全要素生产率在整体上处于增长趋势,技术进步是影响全要素生产率的主要因素。(3)新疆小麦生产在纯技术效率和技术进步方面均优于主产区平均水平,规模效率则还有较大进步空间。由此进一步优化生产规模并促进技术水平的提升对于新疆小麦生产效率的增长具有重要作用。

陆军合成作战单元DEA-Malmquist指数模型战斗效率评估

陆军合成作战单元是遂行体系作战行动的最小战术单位,能否有效地对其战斗效率进行评价分析是作战问题研究亟需解决的问题。着力于数据包络分析(data envelopment analysis,DEA)和生产效率指数(Malmquist)在作战单元战斗效率评估方面的运用,构建了作战单元的数据包络分析生产效率指数(DEA-Malmquist)评估模型,并利用Malmquist指数评估的动态、简洁的优势,针对不同作战单元在若干个作战阶段的输入输出数据,进行静态的效率评估和动态的指数变化分析。其分析评估过程、方法和结论,能够为合成作战单元的构建和运用,Malmquist的军事运用等提供有益的参考和借鉴。