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Glossary
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DEA = Data Envelopment Analysis
I = Input
-
O = Output
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- Diversification
and Return to Scale
- CRS
= Constant Returns to Scale
- VRS
= Variable Returns to Scale
- NIRS
= Non Increasing Returns to Scale
- NDRS
= Non Decreasing Returns to Scale
- IRS
= Increasing Returns to Scale
- DRS
= Decreasing Returns to Scale
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Disposability
- S
= Strong disposability in input & output
- W
= Weak disposability in input & output
- SW
= Strong disposability in input & Weak disposability
in output
- WS
= Weak disposability in input & Strong disposability
in output
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Notations
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P(x,y) = Production Possibility Set(PPS) (Input-Output correspondence)
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I(y) = Input requirement set (the collection of all input vector
x that yield at least output vector y)
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O(x) = Output predicable set (All output vector y that can be produced
using a given input vector x)
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M = The number of inputs m = 1,2,...,M ; m = Indices of input
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N = The number of outputs n = 1,2,...,N ; n = Indices of output
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J = The number of observed units j=1,2,...,J ; j = Indices of unit
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xjm = Amount of input m of unit j
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yjn = Amount of output n of unit j
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x = (x1,...,xM) = General vector of input
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y = (y1,...,yN) = General vector of output
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xj = (xj1,...,xjM) = Vector of inputs of unit j
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yj = (yj1,...,yjN) = Vector of outputs of unit j
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