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 ofmultiple 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 supportin...

This paper calculates returns to scale and productivity growth (allowing for nonconstant returns to scale) in UK manufacturing establishments in the electronics and food industries. Our results show that foreign establishments tend to have lower returns to scale than their domestic counterparts. We also examine the effect of the acquisition of a domestic establishment by a foreign owner on retu...

This paper discusses the determination of returns to scale (RTS) in data envelopment analysis (DEA). Three basic RTS methods and their modi®cations are reviewed and the equivalence between these di€erent RTS methods is presented. The e€ect of multiple optimal DEA solutions on the RTS estimation is studied. It is shown that possible alternate optimal solutions only a€ect the estimation of RTS on...

Nowadays, the assessment of environmental performance has received considerable attention by environmental strategy advocators and decision makers. In recent years, increased emission of CO2 into the air, water pollution, and global warming are universal problems all over the world. Therefore, development of firms with less CO2 emission is an important issue of attention in every area of produc...

Sensitivity of the returns to scale (RTS) classifications in data envelopment analysis is studied by means of linear programming problems. The stability region for an observation preserving its current RTS classification (constant, increasing or decreasing returns to scale) can be easily investigated by the optimal values to a set of particular DEA-type formulations. Necessary and sufficient co...

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 ...

-Increasing returns to scale (RTS) is frequently postulated as affecting productivity in surface coal mining. However, it is not clear whether increased capital intensity or increased output is the relevant phenomenon. A ray-homothetic production function that incorporates the capital-labor mix and fixed site geology into the scale elasticity is presented and estimated with a micro (mine level)...

The purpose of the current paper is to clarify the misunderstanding in using the constant returns to scale (CRS) model in data envelopment analysis (DEA) to estimate returns to scale (RTS) classi®cation. By illustrating the following two di€erent assumptions: (a) all decision making units (DMUs) are assumed to be compared to a CRS frontier in the CCR model, i.e., all DMUs are assumed to be capa...

in this article, we will estimate efficiency amountof decision-making unit by offering the continuous piecewise polynomialextrapolation and interpolation by ccr model input-oriented on the assumptionthat it is constant returns to scale in different times. and finally, we willestimate efficiency amount of decision-making unit indifferent times byoffering an example.