Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurement of returns to scale with weight restrictions: How to deal
  with the occurrence of multiple supporting hyperplanes?   While measuring returns to scale in data envelopment analysis (DEA), the
occurrence of multiple supporting hyperplanes has been perceived as a crucial
issue. To deal effectively with this in weigh restrictions (WR) framework, we
first precisely identify the two potential sources of its origin in the
non-radial DEA setting. If the firm under evaluation P is WR-efficient, the
non-full-dimensionality of its corresponding P-face-a face of minimum dimension
that contains P-is the unique source of origin (problem Type I). Otherwise, the
occurrence of multiple WR-projections or, correspondingly, multiple P-faces
becomes the other additional source of origin (problem Type II). To the best of
our knowledge, while problem Type I has been correctly addressed in the
literature, the simultaneous occurrences of problems Types I and II have not
effectively been coped with. Motivated by this, we first show that problem Type
II can be circumvented by using a P-face containing all the P-faces. Based on
this finding, we then devise a two-stage linear programming based procedure by
extending a recently developed methodology by [Mehdiloozad, M., Mirdehghan, S.
M., Sahoo, B. K., & Roshdi, I. (2015). On the identification of the global
reference set in data envelopment analysis. European Journal of Operational
Research, 245, 779-788]. Our proposed method inherits all the advantages of the
recently developed method and is computationally efficient. The practical
applicability of our proposed method is demonstrated through a real-world data
set of 80 Iranian secondary schools.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin