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STATA JOURNAL 2010年第2期10卷 267-280页

作者： Ji, Yong-bae Lee, Choonjoo Korea Natl Def Univ Def Sci & Technol Dept Seoul South Korea

In this article, we introduce a user-written data envelopment analysis command for Stata. data envelopment analysis is a linear programming method for assessing the efficiency and productivity of units called decision-making units. Over the last decades, data envelopment analysis has gained considerable attention as a managerial tool for measuring performance of organizations, and it has been used widely for assessing the efficiency of public and private sectors such as banks, airlines, hospitals, universities, defense firms, and manufacturers. The dea command in Stata will allow users to conduct the standard optimization procedure and extended managerial analysis. The dea command developed in this article selects the chosen variables from a Stata data file and constructs a linear programming model based on the selected dea options. Examples are given to illustrate how one could use the code to measure the efficiency of decision-making units.

关键词： st0193 dea data envelopment analysis linear programming nonparametric efficiency decision-making units

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data envelopment analysis of two-stage processes: an alternative (non-conventional) approach

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INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH 2025年第1期32卷 384-405页

作者： Despotis, Dimitris K. Sotiros, Dimitris Koronakos, Gregory Univ Piraeus Dept Informat 80 Karaoli & Dimitriou Piraeus 18534 Greece Wroclaw Univ Sci & Technol Dept Operat Res & Business Intelligence Wroclaw Poland

Network data envelopment analysis (NDEA) is an extension of standard DEA that models the efficiency assessment of decision-making units (DMUs) by considering their internal structure. While in standard DEA, the DMU is regarded as a single process, in NDEA, the DMU is viewed as a network of interconnected sub-processes (stages, divisions), where the flow of the intermediate products (measures) is essential in the efficiency assessment. In the prevalent conventional methodological approach to NDEA, the sub-processes are assumed as distinct entities with distinct inputs and outputs. Thus, each sub-process has its own production possibility set (PPS), which can be derived axiomatically from a set of assumptions using the minimum extrapolation principle. The PPS of the overall system is defined as the composition of the individual PPSs. The conventional approach comprises all the methods, in which the system and the divisional efficiencies are computed jointly in a single mathematical program. A fundamental property connecting the system with the divisional efficiencies is that a system is overall efficient if and only if its divisions are all efficient. In NDEA, regardless of the method used, there are cases where none of the observed DMUs is rendered overall efficient as corroborated by real-world case studies. This is the main issue we discuss in this paper and the motivation to propose an alternative, non-conventional, approach to address it in the frame of two-stage processes. We consider the two-stage process as a system that can be viewed from two perspectives depending on the role of the intermediate measures: the system as producer and as consumer of the intermediates. As our approach is based on standard DEA, it satisfies the basic desirable properties. The fundamental NDEA property, that the overall system is efficient if and only if both perspectives are efficient, is met. The efficient frontier of the system is explicitly defined by the overall efficient obs

关键词： data envelopment analysis network data envelopment analysis two-stage processes projections automotive manufacturers' assessment

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data envelopment analysis based performance evaluation of hospitals - Implementation of novel picture fuzzy BCC model

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EXPERT SYSTEMS WITH APPLICATIONS 2025年 263卷

作者： Mahmoodirad, Ali Pamucar, Dragan Niroomand, Sadegh Simic, Vladimir Islamic Azad Univ Dept Math Babol Branch Babol Iran Univ Belgrade Fac Org Sci Dept Operat Res & Stat Belgrade Serbia Yuan Ze Univ Dept Ind Engn & Management Taoyuan City 320315 Taiwan Shiraz Univ Technol Firouzabad Higher Educ Ctr Dept Ind Engn Shiraz Iran Univ Belgrade Fac Transport & Traff Engn Vojvode Stepe 305 Belgrade 11010 Serbia Korea Univ Coll Informat Dept Comp Sci & Engn Seoul 02841 South Korea

In the real-world performance evaluation problems by data envelopment analysis (DEA), dealing with deterministic type data may not be such effective as the real performance of a decision making unit may fluctuate in a period of time. This issue can be an important cause for using fuzzy DEA models for a fair performance evaluation. In this study for the first time a BCC DEA model with picture fuzzy type data is introduced. The picture fuzzy sets and numbers provide more advantage than the classical fuzzy numbers for decision makers to reflect the uncertain nature of a parameter. To tackle the introduced picture fuzzy BCC model, a credibility measure of the possibility theory is used. This is the first time that the possibility theory is extended to a picture fuzzy environment. Therefore, the proposed relations and formula are novel in this study. In addition, as a contribution, the proposed picture fuzzy BCC model and its solution procedure are applied to performance evaluation of a set of hospitals as a real case study. As computational study on the case study, first, according to the managers, the hospitals are evaluated and analyzed. Furthermore, a detailed sensitivity analysis with several experiments is performed to study the impact of the confidence level values of the proposed picture fuzzy credibility measure on the efficiency of the hospitals. According to the ANOVA test results, the considered experiments have significance value of zero which shows the high difference among the obtained results. In addition, a comparative study with the BCC models of the literature is done and the advantages of the proposed BCC model of this study are known. Finally, a detailed managerial insights are presented.

关键词： Performance evaluation data envelopment analysis Picture fuzzy sets and numbers Possibility theory Health care

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data envelopment analysis and accounting measures

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ANNALS OF OPERATIONS RESEARCH 2025年 1-24页

作者： Cui, Claire Harrison, Julie Ng, Frederick Rouse, Paul Auckland Univ Technol Auckland New Zealand Univ Auckland Auckland New Zealand

This paper surveys the growing stream of DEA research that uses only accounting measures, which we term "FinDEA". Our analysis of 280 FinDEA studies from 1990 to 2023, identified 322 models using a diversity of firm performance constructs and accounting measures. The breadth of firm performance, nature and variety of accounting measures, and approaches used in this research stream introduce new challenges beyond those faced in conventional DEA research. We develop a hierarchical framework of FinDEA illustrating how various models focus on a range of hierarchical organisational aspects, leading to diverse interpretations of performance and differing selections of accounting measures. This diversity, however, is often unacknowledged by accounting researchers, where reliance on prior literature or direct adoption of FinDEA models is common. The hierarchical framework provides a continuum of firm performance constructs used in FinDEA research and highlights considerations and suggestions for future researchers and readers around model design and evaluation.

关键词： data envelopment analysis Accounting measures Firm performance

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Fixed-sum data envelopment analysis efficiency evaluation with network parallel structure under decentralized and centralized scenarios

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EXPERT SYSTEMS WITH APPLICATIONS 2025年 265卷

作者： An, Qingxian Chen, Shuyue Wang, Ping Hefei Univ Technol Sch Econ Hefei 230601 Anhui Peoples R China Cent South Univ Sch Business Changsha 410083 Hunan Peoples R China Hefei Univ Technol Sch Management Hefei 230009 Anhui Peoples R China

Network data envelopment analysis (DEA) approach can evaluate decision-making units (DMUs) with network structure. However, in the real world, the total amount of some inputs/outputs is fixed, which is called fixed-sum inputs/outputs. Few studies focus on fixed-sum DEA (FSDEA) evaluation issues with considering the internal network structure of DMUs. Existing studies on fixed-sum research mainly discuss series structures, parallel structures are often neglected although they are common in reality. In this study, we propose a novel fixed-sum DEA efficiency evaluation model for parallel structures, based on generalized equilibrium efficient frontier DEA. Furthermore, depending on whether there's a centralized decision maker, we propose models in decentralized scenario and centralized scenario to construct the efficient frontier. Then, efficiency evaluation models in two scenarios are proposed based on the established efficient frontier respectively. Finally, we demonstrate the practical application of the proposed models by evaluating the industrial performance of three major industries in each province in China for the year 2020. Through this application, we aim to compare the efficiency differences between provinces and provide insights for improving their industrial performances.

关键词： data envelopment analysis Parallel structure Fixed-sum inputs Decentralized and centralized scenarios

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Efficiency assessment of taxi operations using data envelopment analysis

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EUROPEAN TRANSPORT RESEARCH REVIEW 2025年第1期17卷 1-15页

作者： Loureiro, A. L. D. Oliveira, Renata Migueis, V. L. Costa, Alvaro Ferreira, Michel Univ Porto Fac Engn INESC TEC Rua Dr Roberto Frias P-4200465 Porto Portugal Univ Estado Do Para NUPAD CCNT Belem Brazil INESC TEC Rua Dr Roberto Frias P-4200465 Porto Portugal Univ Porto Res Ctr Terr Transports & Environm CITTA Fac Engn Rua Dr Roberto Frias P-4200465 Porto Portugal Univ Porto Dept Ciencia Comp Inst Telecomunicacoes Fac Ciencias P-4169007 Porto Portugal

IntroductionThe economic development, well-being of the population, and environmental protection are all strongly linked to a sustainable transportation network. In this sense, in order to ensure a high level of sustainability, it is crucial to have a comprehensive understanding of this sector. As an integrated element of these transportation systems, the efficiency assessment of taxis' operations is essential in setting managerial strategies for leveraging the sustainability of taxi *** study employs a two-stage bootstrap data envelopment analysis approach to assess the efficiency of taxis' operations, with a focus on minimizing service time and distance traveled. Additionally, this study innovates on investigating the impact of distinct contextual factors on efficiency scores attained to uncover the determinants of taxi operations' efficiency. The methodology is validated using real data collected from onboard devices of a fleet operating in a Portuguese city over a one-year *** results obtained show that taxis of the fleet can significantly reduce service time and distance traveled, without affecting output levels. Moreover, the decisive role of the stands where taxis queue on the efficiency of their operation is also *** findings can support practitioners in reaching a more suitable and efficient allocation of resources, leading to a more sustainable transportation combined with improved business results. Furthermore, this study contributes to the current literature by suggesting recommendations to assist managers and public administrators in defining improvement actions for the taxi sector.

关键词： Efficiency analysis Efficiency determinants data envelopment analysis Boostrap Taxi industry

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Exploring technical efficiency in the European forest sector: A two-stage chance-constrained data envelopment analysis

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FOREST POLICY AND ECONOMICS 2025年 170卷

作者： Amirteimoori, Alireza Allahviranloo, Tofigh Zadmirzaei, Majid Istinye Univ Res Ctr Prod & Performance Anal Istanbul Turkiye Univ Basilicata Sch Agr Forestry Food & Environm Sci SAFE Viale Ateneo Lucano 10 I-85100 Potenza Italy

This study analyses the technical efficiency of the forestry sector in Europe which comprises 40 countries. The novelty of this study is the stochasticity of the data and the existence of contextual variables in the two-stage production process of the forest sector. We first developed a two-stage chance-constrained data envelopment analysis model in which the forestry and exploitation stages occur at country-specific levels within the European forest production sector. It was found that the forest management stage is generally more efficient than the exploitation stage and total production at the country-specific level. Contextual variables have a significant impact on efficiency scores, which means that efficiency calculations in the subsequent stage need to be adjusted to take these influences into account. By mitigating these contextual effects, the study improved technical efficiency scores, highlighting top performers like the Russian Federation (DMU31 in North zone), Switzerland (DMU37 in Central-West zone), and Iceland (DMU16 in North zone) with TE scores of 1.0322, 1.0209, and 1.0198 respectively, while also identifying areas for enhancement in countries such as Turkey (DMU38 in SouthEast zone), Slovakia (DMU33 in Central-East zone), and Romania (DMU30 in Central-East zone) which fall into the lowest three ranks based on their performance with TE scores of 0.5583, 0.5058, and 0.4482 respectively. An important conclusion is that these findings are crucial for policymakers and stakeholders in Europe when developing strategies to improve efficiency and sustainability in the forest sector.

关键词： data envelopment analysis Contextual factors Two-stage processes Stochastic data Technical efficiency

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Partner selection for supply chain collaboration: New data envelopment analysis models

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OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE 2025年 132卷

作者： Liu, Lili Ang, Sheng Yang, Feng Zhang, Xiaoqi Univ Sci & Technol China Sch Management 96 JinZhai Rd Hefei 230026 Anhui Peoples R China Hefei Univ Technol Sch Management 193 TunxiRd Hefei 230009 Anhui Peoples R China Hefei Univ Technol Intelligent Interconnected Syst Lab Anhui Prov 193 TunxiRd Hefei 230009 Anhui Peoples R China Anhui Polytech Univ Sch Econ & Management 8 Beijing Middle Rd Wuhu 241000 Anhui Peoples R China

Partner selection is crucial for ensuring successful supply chain collaboration. This study focuses on selecting the best partner for a predefined two-stage supply chain using data envelopment analysis to assess the performance of collaborative systems. We distinguish between two levels of supply chain collaboration: chain-to-chain and stage-to-stage collaboration. The former involves partner selection within the same supply chain across two stages, while the latter allows for selected partners from different supply chains across two stages. We incorporate the technology learning effect and introduce three degrees of collaboration (minor, major, and medium) for both chain and stage collaboration levels. Solutions are provided for each collaboration level and degree, with comparative analysis indicating that major collaboration in stage-to-stage level yields superior performance. A numerical example and a real-world case study are presented to illustrate our models and findings, demonstrating that our approach offers superior benefits and more flexible options compared to existing methods. Thus, the proposed approach not only contributes to advancing theoretical understanding but also provides practical implications for optimizing collaborative relationships within complex multi-stage supply chain environments.

关键词： Partner selection Supply chain collaboration Resource reallocation Technology learning data envelopment analysis

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Financial crisis impact on the efficiency evaluation of university research achievements transformation: a study based on fixed and interactive network data envelopment analysis methods

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FRONTIERS IN PHYSICS 2025年 13卷

作者： Ma, Yuping Xu, Mingqian Anhui Sanxiang Technol Consulting Co Ltd Hefei Peoples R China Anhui Jianzhu Univ Sch Econ & Management Hefei Peoples R China Hefei Univ Technol Sch Econ Hefei Peoples R China

In the context of the financial crisis, this paper introduces an innovative approach to data envelopment analysis (DEA) that is grounded in collaborative theory, aiming to assess the impact of financial factors, particularly fiscal allocations, on the efficiency of transforming research achievements into practical applications within Chinese universities. Based on this methodological framework, the paper constructs an interactive network framework that integrates government, industry, and academic institutions, conceptualizing research activities as a multi-agent, multi-stage complex system. Through an empirical analysis of 79 Chinese universities, we investigate the role of government fiscal grants as a key input factor in influencing the efficiency of research achievement transformation within this system. The findings reveal that strategic allocation of fiscal grants significantly enhances the efficiency of research application, while substantial variations in the efficiency of research achievement transformation exist across different universities. This study further elucidates the intrinsic link between fiscal allocations and the commercialization efficiency of research achievements, providing policymakers with critical insights into the effective distribution of financial resources to facilitate the transformation of research achievements into practical applications. This research not only enriches the application of complex systems theory in higher education but also offers a novel perspective on the role of financial support policies in the commercialization of scientific and technological achievements.

关键词： financial crisis university performance evaluation data envelopment analysis synergy theory complex systems

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Likelihood-ratio test for technological differences in two-stage data envelopment analysis for panel data

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2025年第2期321卷 644-663页

作者： Du, Kai Zelenyuk, Valentin Univ Wollongong Sch Business Wollongong NSW 2522 Australia Univ Queensland Ctr Efficiency & Prod Anal Sch Econ Brisbane QLD 4072 Australia

This study explores the question of adapting a likelihood-ratio test in the two-stage data envelopment analysis (DEA) framework, where DEA estimates are regressed against external factors. We focus on the hypotheses of testing the technological difference across time periods (or groups) and propose two bootstrapping procedures. Our Monte Carlo (MC) simulation shows that the proposed test has a substantially better-estimated size for the case of smoothing the 'spurious ones', rather than removing them. MC simulation also confirms the curse of dimensionality when the input and output variables increase in the production model. Finally, the proposed test is demonstrated in an empirical illustration.

关键词： data envelopment analysis Likelihood ratio test Bootstrap Technological difference

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