Data envelopment analysis (DEA) is non-parametric linear programming (LP) based technique for estimating the relative efficiency of different decision making units (DMUs) assessing the homogeneous type of multiple-inputs and multiple-outputs. The procedure does not require a priori knowledge of weights, while the main concern of this non-parametric technique is to estimate the optimal weights o...

In this short paper, we recall the use of squared slacks used to transform inequality constraints into equalities and several reasons why their introduction may be harmful in many algorithmic frameworks routinely used in nonlinear programming. Numerical examples performed with the sequential quadratic programming method illustrate those reasons. Our results are reproducible with state-of-the-ar...

The advent of data envelopment analysis (DEA) enabled the measurement of efficiency to be extended to the case of multiple outputs. Prior to DEA we had the parametric approach based on multiple regression. We highlight some difficulties associated with these two approaches and present a hybrid which overcomes them whilst maintaining the respective advantages of each. This hybrid models the effi...

This paper deals with the assignment of a type of task to each member of a multi-function staff (each worker is able to perform a given subset of types of tasks, possibly with a priority index associated to each element of the subset). The resulting number of workers for each type of task must be not less than a given lower bound and as close as possible to another given value. The objectives a...

As one of the basic industries in manufacturing industry, modeling and evaluation resource utilization efficiency machining process is premise energy conservation consumption reduction industry. Mechanical processing using resources to change shape performance blank form workpiece generate emissions. However, current research on resources, whether focusing or emissions, cannot provide a compreh...

In this paper, a new three-stage virtual frontier SBM-DEA (Slacks-Based Measure of Efficiency in Data Envelopment Analysis) model is proposed to evaluate the sustainable efficiency construction industry. The relevant industry data 30 Chinese PARs (provincial administrative regions) from 2011 2016 are brought into calculate each region and verify rationality model. order solve problem that value...

The coupling coordination between industrial water use (IWU) and green development (IGD) systems is crucial for achieving sustainable goals. This paper measures the degree IWU IGD systems, spatial–temporal evolution characteristics of are discussed. Here, system assessed by adopting a dynamic slacks-based measure model, system’s performance evaluated using an entropy-weighted TOPSIS model. resu...

Esta pesquisa deteve-se a análise das eficiências dos Ecopontos da cidade de Fortaleza, no estado do Ceará através modelo DEA (Data Envelopment Analisys) utilizando o método SBR (Slacks-Based Measure) orientado output (produtos) com escalas variáveis (SBM- O- V). As DMUs (Decision Making Unit) são vinte e cinco Ecopontos, onde existem dois programas coleta incentivada, programa “Recicla Fortale...

Based on the framework of the directional distance function, we conduct a systematic analysis on the measurement of super-efficiency in order to achieve two main objectives. Our primary purpose is developing two generalized directional measures of super-efficiency that completely resolve the crucial infeasibility issue, commonly arisen in the traditional super-efficiency measures. The secondary...