the basic models of data envelopment analysis (dea) are designed in such a way that the values of input and output indicators should be identified and known in them. in other words, these models are not used to consider inaccurate, interval, fuzzy, judgment data. in this paper, the aim is to not only review the past researches about the efficiency of the units by interval data and represent the...

Abstract United States certified organic and conventional dairy farms are compared on the basis of economic, financial, technological measures using data from 2016 USDA Agricultural Resource Management Survey. A stochastic production frontier model an input distance function framework is estimated for U.S. to examine technical efficiency returns scale (RTS) both systems by multiple size categor...

This chapter discusses returns to scale (RTS) in data envelopment analysis (DEA). The BCC and CCR models are treated in input oriented forms while the multiplicative model is treated in output oriented form. (This distinction is not pertinent for the additive model which simultaneously maximizes outputs and minimizes inputs in the sense of a vector optimization.) Quantitative estimates in the f...

Our aim in this work is to determine returns to scale (RTS) under weights restrictions in data envelopment analysis (DEA). At first, we review Tone,s method (2001) proposed in this field, then by using a slack-based model, we introduce a new method that enables us to reach our aim. The advantage of the method proposed in this article over Tone,s method is that for determining returns to scale, ...

Data envelopment analysis (DEA) provides an optimization methodology for deriving an efficiency score for each member of a set of peer decision-making units. Under the original DEA model it was assumed that there is constant returns to scale (CRS). This idea was later extended to the more general case that allowed for variable returns to scale (VRS). In both of these structures, it is assumed t...

Data envelopment analysis (DEA) is a non-parametric approach for performance analysis of decision making units (DMUs) which uses a set of inputs to produce a set of outputs without the need to consider internal operations of each unit. In recent years, there have been various studies dealt with two-stage production systems, i.e. systems which consume some inputs in their first stage to produce ...

Background and Objectives: The goal of current study is to evaluate the performance of hospitals and their departments. This manuscript aimed at estimation of the most productive scale size (MPSS), returns to scale (RTS), and benchmarking for inefficient hospitals and their departments. Methods: The radial and non-radial data envelopment analysis (DEA) ap...

Sueyoshi and Sekitani in 2007 presented a paper that explores the measurement of Returns to Scale under a possible occurrence of multiple solution in a reference set and a supporting hyperplane. The occurrence of multiple solutions is classified into Type I and Type II. Type I is an occurrence of multiple solutions in a reference set. Type II is an occurrence of multiple solutions on a supporti...

For more than twenty years, the cost structure of transport industries in general, and the airline industry in particular, has been analyzed through the calculation of two indices: returns to density (RTD) and returns to scale (RTS), which were originally proposed by Caves et al. (1984). During this period, there have been many observations, amendments, caveats and corrections about their calcu...