Ranking dmus by ideal points with interval data in dea. Data envelopment analysis dea is a method in operations research, mainly in business engineering and economics, to measure productive efficiency in a decisionmaking unit dmu, such as business entities 5 7. Interval efficiency assessment using data envelopment. The contextdependent dea is introduced to measure the relative attractiveness of a particular dmu when compared to others. Data envelopment analysis with estimated output data. Radial models require inputs and outputs measured on the ratio scale. If we look at the efficient population units 1, 2, 11, 12, a null length in bcies can be observed, so this method detects the. In this paper, we investigate dea with interval inputoutput data.
In original data envelopment analysis dea models, inputs and outputs are measured by exact values on a ratio scale. The use of dea data envelopment analysis methodology to. Dea purpose is to compare a certain number of dmus performing similar tasks and that distinguish themselves in the number of used inputs and produced outputs. Data envelopment analysis network models with interval data ipedr. It is a performance measurement technique which, as we shall see, can be used for evaluating the relative efficiency of decisionmaking units dmus in organisations. Crossefficiency evaluation is one of the main aspects of research in the field of dea that has been applied in various fields. Data envelopment analysis, also known as dea, is a nonparametric method for performing frontier analysis. That is, the classifiers first use the concept of quantiles to generate a desired number of exactdata sets from a trainingdata set comprising interval data. Efficiency score from data envelopment analysis can predict. Data envelopment analysis network models with interval data. Exploring output quality targets in the provision of perinatal care in england using data envelopment analysis, european journal of operational research, elsevier, vol. Data envelopment analysis data envelopment analysis dea was developed by charnes et al.
Data envelopment analysis dea is becoming an increasingly popular management tool. Data envelopment analysis dea is an important method of efficiency evaluation. Classifying inputs and outputs in interval data envelopment. Data envelopment analysis dea is a nonparametric method for relative efficiency evaluation of decision making units described by multiple inputs and multiple outputs. In the traditional crossefficiency evaluation model, the variable data of decisionmaking units is exact. Introduction data envelopment analysis dea, as a very useful management and decision tool, has found surprising development in theory and methodology and extensive applications in the range ofthe whole world since it was. Threestage data envelopment analysis as a tool for nurse. The expected values of the bcies are better, a smaller or identical upper bound and a bigger or identical lower bound being observed in all cases. Pimdea has enhanced functionality features reflecting the cumulative feedback from our users since the 1980s. The conventional data envelopment analysis dea measures the relative efficiencies of a set of decision making units dmus with exact values of inputs and outputs. Data envelope analysis dea is an approach to estimating the relative e ciency of decisionmaking units dmus. The deaos package is designed to be extremely userfriendly. Data envelopment analysis with imprecise data sciencedirect.
Click on the link on the left to get more details about installing the software and to find links to the the installation program. The application of the proposed dea models is shown with a real dataset. The performances of decisionmaking units dmus can be evaluated from two different. Interval efficiency assessment using data envelopment analysis. Data envelopment analysis dea, the most representative method for e. The main aim of this study is to assess leader performance in nursing care using a competencybased pa. Groups such as the productivity analysis research network parn and others have supported dea and other. Abstract data envelopment analysis dea is a linear programming based technique for measuring the relative performance of organisational units where the presence of multiple inputs and outputs makes comparisons difficult. Normalization of multiple efficiency intervals by interval. Pdf analysis of interval data envelopment efficiency model. Dea crossefficiency evaluation and ranking method based on. We propose a customized data envelopment analysis dea method for. Page 140 continued a data envelopment analysis example. The objective of this paper is to address a typical efficiency analysis problem, in which interval inputsoutputs are considered.
Qualitative and quantitative data envelopment analysis. Kao, interval efficiency measures in data envelopment analysis with imprecise data, european journal of operational research, 174 2006 10871099. Proceedings of the 12 th international conference of dea, april 2014, kuala lumpur, malaysia, isbn. Index termsdata envelopment analysis, efficiency, interval data, twostage model.
Data envelopment analysis dea is a set of mathematical programming based models which evaluate the relative efficiencies of decision making units dmus, with multiple inputs and outputs. Dea online software deaos is an appropriate package for obtaining dea results easily and quickly. Data envelopment analysis dea is a method in operations research, mainly in business engineering and economics, to measure productive efficiency in a decisionmaking unit dmu, such as business. We develop in this paper an alternative approach for dealing with imprecise data in dea. Contextdependent data envelopment analysis with interval data. Data envelopment analysis dea is a linear programming methodology to measure the efficiency of multiple decisionmaking units dmus when the production process presents a structure of multiple inputs and outputs.
Data envelopment analysis dea is a method that has often been used for performance appraisals based on a large number of inputs and outputs. Ranking dmus by using interval dea cross efficiency matrix. The econometric frontier approach dea data envelopment analysis allows the use of multiple inputsoutputs without imposing any functional form on data or making assumptions of inefficiency. Liu, stochastic data envelopment analysis in measuring the efficiency of taiwan commercial banks, european journal of operational research, 196 2009. Sensitivity analysis in data envelopment analysis for interval data to cite this article. The quest for greater efficiency is never ending as managers are always under pressure to improve the performance of their organisations. Farzipoor saendeveloping a new data envelopment analysis methodology for supplier selection in the presence of both undesirable outputs and imprecise data the international journal of advanced manufacturing technology, 51 912 2010, pp. Several studies have been conducted in order to prioritize e cient units, and some useful models, such as crosse ciency matrix cem, have been presented. This paper firstly discusses the main weakness of the existing model in dealing with imprecise data, that different dmus decision making units are rated under different production frontier, which makes the efficiency comparisons concise and meaningless. Recent developments in data envelopment analysis and its applications. Hybrid cluster and data envelopment analysis with interval. The proposed dea method determines the interval efficiency scores of the.
Analysis of interval data envelopment efficiency model. How data envelopment analysis works frontier analyst. Deafrontier free version data envelopment analysis. Data envelopment analysis, network models, interval data, efficiency. Consequently, the nonlinear stochastic dea model was applied to solve the maximum output scale by using computer software such as. To select the best technologies in the presence of cardinal data, ordinal data.
Pdf a data envelopment analysis model with interval data and. A data envelopment analysis example introduction to. The conventional data envelopment analysis dea measures the relative. How data envelopment analysis works frontier analyst is designed to help you measure and improve the performance of your organisation. The main aim of this paper is to analyse the nonparametric technique used in many studies of the hospitality sector. Questions about it have cropped up recently in the sci. Second we formulate the efficiency test problems as mixed integer programming problems.
This papaer considers the problem of interval scale data in the most widely used models of data envelopment analysis dea, the ccr, and the bcc models. Ranking technology suppliers in data envelopment analysis core. Interval inefficiency assessment using data envelopment analysis hosseinmonfared departement of mathemeatics, islamic azad university, germibranch, germi, iran corresponding author email. Cross efficiency method is an extension of data envelopment analysis dea, and has been widely used for ranking performance of decision making units dmus. Dynamic information is frequently unable to reflect the whole characteristic. Cooper and rhodes 1978, efficiency is defined as a ratio of weighted sum of outputs to a weighted sum of inputs. Dea has been used for both production and cost data. Pdf sensitivity analysis in data envelopment analysis for. Utilizing the selected variables, such as unit cost and output, dea software searches for the points with the lowest. Khalilidamghani k, tavana m and hajisaami e 2015 a data envelopment analysis model with interval data and undesirable output for combined cycle power plant performance assessment, expert systems with applications. Efficiency and productivity measurement of rural township. Data envelopment analysis dea is a linear programming application that compares a number of service units of the same typesuch as banks, hospitals, restaurants, and schoolsbased on their inputs resources and outputs. Interval inefficiency assessment using data envelopment analysis. In realworld situation, because of incomplete or nonobtainable information, the data input and.
Dealing with interval scale data in data envelopment analysis. Download selected publications of professor ali emrouznejad. Data envelopment analysis with imprecise data semantic scholar. Pdf sensitivity analysis in data envelopment analysis. Pimdea is the latest up to date dea software from academics with decades experience in teaching, researching and applying dea. Setting and participants a total of 48 sample ths were selected from the xiaogan prefecture in hubei province from 2008 to 2014. An original dea model is to evaluate each dmu optimistically, but the interval dea. Interval efficiency assessment using data envelopment analysis article in fuzzy sets and systems 1533. This paper studies how to conduct efficiency assessment using data envelopment analysis dea in interval andor fuzzy inputoutput environments. We prove that 14 among 25 problems can be reduced to linear programming problems and that the other 11 efficiencies can be. Data envelopment analysis dea, occasionally called frontier analysis, was first put forward by charnes, cooper and rhodes in 1978. Management science, 45 1999 597607 recently addressed the problem of imprecise data in dea, in its general form. Xlstat is a powerful yet flexible excel data analysis addon that allows users to analyze, customize and share results within microsoft excel.
A new pair ofinterval dea models is constructed on the basis ofinterval arithmetic, which differs from the existing dea models handling interval data in that the former is a linear ccr. To eliminate the nonuniqueness of cross efficiency scores, the aggressive and benevolent strategies have been proposed as secondary goals to determine the unique cross efficiency score. Data envelopment analysis schweitzer fachinformationen. First we show various extensions of efficiency and that 25 of them are essential. A data envelopment analysis model with interval data and. Twostage data envelopment analysis model with interval inputs. Data envelopment analysis and performance measurement. Hatamimarbini 2014 the state of the art in fuzzy data envelopment analysis, in performance measurement with fuzzy data envelopment analysis published in studies in fuzziness and soft computing 309. A data envelopment analysis model with interval data and undesirable output for combined cycle power plant performance assessment. Data envelopment analysis dea is a nonparametric method in operations research and.
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