Weight restrictions in Data Envelopment Analysis: A comprehensive Genetic Algorithm based approach for incorporating value judgments

2015 ◽  
Vol 42 (3) ◽  
pp. 1503-1512 ◽  
Author(s):  
Vipul Jain ◽  
Amit Kumar ◽  
Sameer Kumar ◽  
Charu Chandra
Author(s):  
Pilar Alberca ◽  
Jorge Santos

The aim of this study is to analyze the operational efficiency of tourism firms usingweights-restricted Data Envelopment Analysis (DEA) in a mathematical optimizationframework. The use of weight restrictions has been applied in several studies onefficiency and performance evaluation, in order to account for the decision maker’sinformation. In this study, a non-standard approach to operational efficiency evaluationis applied, in an attempt to overcome certain limitations in tourism analysis; namely, thefact that the analyst may choose to consider only a few rather than all of the inputvariables. One of the main findings of this study is that total weight flexibility can leadto non-rational weights due to the fact that certain inputs are effectively ignored.Furthermore, total weight flexibility can result in too many units being assessed as efficient, reducing the discriminatory power of the model. This problem can be solvedby applying weight restrictions. A first practical implication is that the weighted DEAmodel yields better efficiency estimations. Moreover, since a high number of efficientunits could be considered an unrealistic result, the findings of this study demonstratethat the choice of weighted or restricted DEA model produces more accurate efficiencyresults.


2013 ◽  
Vol 61 (2) ◽  
pp. 426-437 ◽  
Author(s):  
Victor V. Podinovski ◽  
Tatiana Bouzdine-Chameeva

Author(s):  
Adel Hatami-Marbini ◽  
Saber Saati ◽  
Madjid Tavana

Data envelopment analysis (DEA) is a methodology for measuring the relative efficiencies of a set of decision making units (DMUs) that use multiple inputs to produce multiple outputs. In the conventional DEA, all the data assume the form of specific numerical values. However, the observed values of the input and output data in real-life problems are sometimes imprecise or vague. Previous methods have not considered the preferences of the decision makers (DMs) in the evaluation process. This paper proposes an interactive evaluation process for measuring the relative efficiencies of a set of DMUs in fuzzy DEA with consideration of the DMs’ preferences. The authors construct a linear programming (LP) model with fuzzy parameters and calculate the fuzzy efficiency of the DMUs for different a levels. Then, the DM identifies his or her most preferred fuzzy goal for each DMU under consideration. A modified Yager index is used to develop a ranking order of the DMUs. This study allows the DMs to use their preferences or value judgments when evaluating the performance of the DMUs.


Author(s):  
Reza Farzipoor Saen

The use of Data Envelopment Analysis (DEA) in many fields is based on total flexibility of the weights. However, the problem of allowing total flexibility of the weights is that the values of the weights obtained by solving the unrestricted DEA program are often in contradiction to prior views or additional available information. Also, many applications of DEA assume complete discretionary of decision making criteria. However, they do not assume the conditions that some factors are nondiscretionary. To select the most efficient third-party reverse logistics (3PL) provider in the conditions that both weight restrictions and nondiscretionary factors are present, a methodology is introduced. A numerical example demonstrates the application of the proposed method.


2020 ◽  
Vol 37 (05) ◽  
pp. 2050019
Author(s):  
Qing Wang ◽  
Keke Wei ◽  
Yang Zhang ◽  
Xuan Wang

Considering both self-evaluation and peer evaluation, the traditional data envelopment analysis (DEA) cross-efficiency method has been widely used to evaluate efficiency scores. However, it has several defects such as excessive weight flexibility, unstable evaluation, and aggregation irrationality. This paper proposes a novel comprehensive DEA cross-efficiency method where two novel weight restriction methods are used to enhance the stability and feasibility of evaluation. Then, final efficiency scores were calculated through the geometric mean aggregation method. Finally, an empirical example is used to demonstrate that the proposed methods are more reasonable and scientific.


Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 563 ◽  
Author(s):  
Milena Popović ◽  
Gordana Savić ◽  
Marija Kuzmanović ◽  
Milan Martić

This paper proposes an approach that combines data envelopment analysis (DEA) with the analytic hierarchy process (AHP) and conjoint analysis, as multi-criteria decision-making methods to evaluate teachers’ performance in higher education. This process of evaluation is complex as it involves consideration of both objective and subjective efficiency assessments. The efficiency evaluation in the presence of multiple different criteria is done by DEA and results heavily depend on their selection, values, and the weights assigned to them. Objective efficiency evaluation is data-driven, while the subjective efficiency relies on values of subjective criteria usually captured throughout the survey. The conjoint analysis helps with the selection and determining the relative importance of such criteria, based on stakeholder preferences, obtained as an evaluation of experimentally designed hypothetical profiles. An efficient experimental design can be either symmetric or asymmetric depending on the structure of criteria covered by the study. Obtained importance might be a guideline for selecting adequate input and output criteria in the DEA model when assessing teachers’ subjective efficiency. Another reason to use conjoint preferences is to set a basis for weight restrictions in DEA and consequently to increase its discrimination power. Finally, the overall teacher’s efficiency is an AHP aggregation of subjective and objective teaching and research efficiency scores. Given the growing competition in the field of education, a higher level of responsibility and commitment is expected, and it is therefore helpful to identify weaknesses so that they can be addressed. Therefore, the evaluation of teachers’ efficiency at the University of Belgrade, Faculty of Organizational Sciences illustrates the usage of the proposed approach. As results, relatively efficient and inefficient teachers were identified, the reasons and aspects of their inefficiency were discovered, and rankings were made.


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