On the Interpretation of Value Efficiency

Halme et al., Management Science, 45, 103–115 (1999) have proposed Value Efficiency Analysis as an approach to incorporate preference information in Data Envelopment Analysis (DEA). Generally, a value function includes only ordinal information and thus a value efficiency score does not provide information on the value difference. The score only describes the improvements in the input/output values that are needed in order to make the Decision-Making Unit (DMU) as preferred as the Most Preferred Solution (MPS). This Paper discusses two sets of additional assumptions that enable us to give the efficiency score a value difference interpretation.     

The Use of Data Envelopment Analysis with Probabilistic Assurance Regions for Measuring Hospital Efficiency

This paper uses Data Envelopment Analysis (DEA) for an estimation of the cost efficiency of 70 Danish hospitals. The analysis relates to a cost function based on 483 outputs in combination with a set of probabilistic assurance regions defined by the cost distributions for each output. It is demonstrated that the probabilistic assurance region approach allows for (i) a frontier estimation in the full output space, i.e., no fixed aggregation is required, and (ii) a controlling of the variation in heterogeneity of the output clusters, in casu Diagnosis Related Groups. The likelihood of the estimated efficiency score for a given hospital can be measured based on the sensitivity of the score w.r.t. the probability levels used in the specification of confidence intervals for the probabilistic assurance regions.     

On the Origins of Data Envelopment Analysis

The concept Data Envelopment Analysis (DEA) was introduced in the journal literature by the highly influential 1978 paper of Charnes, Cooper, and Rhodes. In the subsequent literature the development of research leading up to this paper tended to be forgotten. However, studying this diffusion of ideas may give valuable insights into research issues still unexplored and insight in the research process itself. A natural starting point is Farrell's seminal 1957 paper on concepts of efficiency and their computation. The richness of ideas presented in Farrell is demonstrated by the fact that the developments in the following two decades were based on aspects and ideas there. The origins of the main developments are identified, and the connections to Charnes, Cooper, and Rhodes are explored.     

Multiple Objective Approach as an Alternative to Radial Projection in DEA

Radial projection is a standard technique applied in data envelopment analysis (DEA) to calculate efficiency scores for input and/or output variables. In this paper, we have studied the appropriateness of radial projection for target setting. We have created a situation where the decision making units (DMUs) are free to choose their own target values on the efficient frontier and then compared the results to those of radial projection. In practice, target values are primarily used for future goal attainment; hence, not only preferences but also, and on the whole, change in time frame, affect the choice of target values. Based on that, we conducted an empirical experiment with an aim to study how the DMUs choose their most preferred target values on the efficient frontier. The subjects, who all were students of the Helsinki School of Economics, were given the freedom to explore their personalized efficient frontiers by using a multiple objective linear programming (MOLP) approach. To study various and relevant scenarios, the personalized efficient frontiers for all students were constructed in such a way that the current position of each student in relation to the frontier made him/her inefficient, efficient, or super-efficient. The results show that the use of radial projection for target setting is too restrictive.     

Productive Efficiency of the Swine Industry in Hawaii: Stochastic Frontier vs. Data Envelopment Analysis

Improving productive efficiency is an increasingly important determinant of the future of the swine industry in Hawaii. This paper examines the productive efficiency of a sample of swine producers in Hawaii by estimating a stochastic frontier production function and the constant returns to scale (CRS) and variable returns to scale (VRS) output-oriented DEA models. The technical efficiency estimates obtained from the two frontier techniques are compared. The scale properties are also examined under the two approaches. The industry's potential for increasing production through improved efficiency is also discussed.     

On the Role of Weight Restrictions in Data Envelopment Analysis

This paper examines the role that weight restrictions play in Data Envelopment Analysis (DEA). It is argued that the decision to include a factor (input or output) in a DEA model represents an implicit judgement that the factor has a non-trivial weight. It therefore seems perverse to allow DEA to assign a trivial weight to that factor in assessing the efficiency of a unit. There is therefore a strong case for imposing restrictions on factor weights. However, many existing methods of weight restriction are in practice unwieldy. This paper proposes an alternative approach we term contingent weight restriction which is both practical and intellectually consistent with the DEA philosophy. The paper explores the implications of alternative methods of weight restriction using simulated data from a well known production process.     

Measuring Cost Efficiency in European Banking: A Comparison of Frontier Techniques

This paper investigates the consistency of efficiency frontier methods on European banking samples. We measure the cost efficiency of banks from five European countries (France, Germany, Italy, Spain, Switzerland) with three approaches: stochastic frontier approach, distribution-free approach, and data envelopment analysis. We compare means, correlation coefficients, two public policy issues, and the correlation with standard measures of performance. In general, we conclude in favor of the lack of robustness between approaches, even if there are some similarities in particular between parametric approaches. We do, however, observe some correlation between all frontier approaches and standard measures of performance.     

Production frontier estimation to measure efficiency: A critical evaluation in light of data envelopment analysis

The ranking and measurement of efficiency of decision-making units by two methods—data envelopment analysis and frontier production function—may not always lead to identical results. In this framework we attempt here a critical evaluation of the frontier production function theory in terms of theoretical and empirical implications. It is shown that under certain conditions the two approaches to effciency measurement may lead to identical results.     

线性规划在假设开发法中的应用研究

本文尝试运用运筹学中线性规划理论的数学模型,结合SWOT分析决策房地产开发最高最佳使用方式,为开发商或土地估价师提供一条可供参考的技术路线。     

Efficiency analysis of social protection expenditure in the Italian Regions

The attention and demand for greater social protection is increasing among the populations of all European countries. It is difficult to identify which of the structures and infrastructures, sectors and regional budgets are inefficient and/or negligent in respect of providing more social protection. In the political sphere the problem is examined from a qualitative point of view, because it is essential to have a valid decisional support system that provides useful information for structural and economic intervention programs devised to improve social protection. Regional spending on social protection is a fundamental component of individual well-being. This work is precisely aimed at assessing individual well-being in terms of technical expenses efficiency in the Italian Regions. Stochastic frontier analysis and a nonparametric deterministic model structure are the tools used to investigate the social protection determinants in the paper.     

Testing Independence in Models of Productive Efficiency

Bootstrap methods for inference in nonparametric models of productive efficiency can be simplified, reducing computational burden, when the independence condition implicitly assumed in Simar and Wilson (1998) holds. This paper surveys nonparametric tests of independence that might be useful in this context.     

关于DEA有效性理论的一点探索

给出经典的基于输入和输出的DEA模型,把基于DEA模型相结合的相对效率模型引入评价证券相对有效性,以风险作为输入,期望收益率作为输出,便可以用DEA模型评价每只证券相对有效性。     

Sensitivity and stability of efficiency classifications in Data Envelopment Analysis

A new technique for assessing the sensitivity and stability of efficiency classifications in Data Envelopment Analysis (DEA) is presented. Here developed for the ratio (CCR) model, this technique extends easily to other DEA variants. An organization's input-outut vector serves as the center for a cell within which the organization's classification remains unchanged under perturbations of the data. For the l ₁, l and generalized l norms, the radius of the maximal cell can be computed using linear programming formulations. This radius can be interpreted as a measure of the classification's stability, especially with respect to errors in the data.Abraham Charnes passed away December 19, 1992.     

A Mathematical Programming Approach for Measuring Technical Efficiency in a Fuzzy Environment

A three stage approach is proposed to measure technical efficiency in a fuzzy environment. This approach uses the traditional data envelopment analysis framework and then merges concepts developed in fuzzy parametric programming (Carlsson and Korhonen, 1986). In the first stage, vague input and output variables are expressed in terms of their risk-free and impossible bounds and a membership function. This membership function represents the degree to which a production scenario is plausible. In the second stage, conventional efficiency measurement models (Banker, Charnes and Cooper, 1984; Deprins, Simar and Tulkens, 1984) are re-formulated in terms of the risk-free and impossible bounds and the membership function for each of the fuzzy input and output variables. In the third stage, technical efficiency scores are computed for different values of the membership function so as to identify uniquely sensitive decision making units. The approach is illustrated in the context of a preprint and packaging manufacturing line which inserts commercial pamphlets into newspapers.     

On the calculation of the scale elasticity in DEA models

An issue in the multiple-output case within the literature on piecewise linear frontier production functions has been how to determine the nature of the scale properties. It is shown that knowledge of scale efficiency does not permit calculation of scale elasticity or vice versa. For inefficient units there is a relationship between input-saving and output-increasing efficiency measures through the average value of the scale elasticity between the two different reference points on the frontier. A direct approach to determine the scale properties is to calculate the scale elasticity from the dual problem to the calculation of Farrell efficiency measures.     

Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities

The purpose of this paper is to measure productive efficiencies when a firm employs quasi-fixed inputs that cannot be instantaneously adjusted to their optimal levels. To this end, data envelopment analysis (DEA) is extended to a dynamic framework so that investment behavior can be modelled with the efficient production frontier. Based on the work of Nemoto and Goto (1999), we show how the efficiencies of quasi-fixed inputs and their adjustment processes are evaluated. An application to Japanese electric utilities over the 1981–1995 period delivers empirically plausible results and proves the usefulness of the procedure.     

基于MEA和Luenberger生产率指数的中国商业银行效率及生产率模式评估

引入多方向效率分析模型(MEA)模型对我国16家上市商业银行2011—2018年各指标的效率进行了评估,结果显示国有银行效率低下的主要原因是净利息利润、存款和劳动力的效率较低。为进一步研究中国商业银行生产率的构成情况,引入基于方向性距离函数的Luenberger生产率指数及其分解结果,来评价中国商业银行各指标的生产率,得到中国商业银行生产率的变化主要归功于净利息利润和净非利息利润生产率的变化。     

基于DEA的电子商务上市公司技术效率评价

文章收集了国内外16家电子商务上市公司年报数据并进行整理,运用DEA的CCR和BCC模型来计算这些企业的技术效率,并且运用差额变量分析给相对无效率的公司提供改进的意见。数据结果显示:整体情况均为相对有效,且经营状况都比较稳定,说明电子商务企业正经历着一个稳步发展的阶段。     

刍议价值工程的价值挖潜

价值工程为工程建设与生产发展、组织经营管理等提供了降低成本提高经济效益的思想方法和管理技术。但过去人们对其的认识和应用存在一定的局限性,束缚了价值工程的作用。价值工程的价值还应该挖潜,本文从拓展它的应用领域、重视它的评价作用、注重它的功能创新三个方面进行了探讨。     

Nonparametric Efficiency Analysis under Price Uncertainty: A First-Order Stochastic Dominance Approach

This paper extends the nonparametric approach to efficiency analysis to deal with uncertainty of input-output prices. We generalize the notion of economic efficiency to derive necessary and sufficient first-order stochastic dominance (FSD) efficiency conditions. Interestingly, the FSD conditions include as limiting cases the traditional conditions for economic efficiency and technical efficiency. Furthermore, we propose empirical tests for these FSD conditions, which require minimal assumptions concerning the preferences of the decision-maker and the statistical distribution of the prices. From operational point of view, the FSD conditions can be tested empirically using standard mathematical programming techniques. An empirical application to the Dutch electricity distribution sector illustrates the approach.