Table 1. BCC models Input-oriented...

Table 1.

BCC models

Input-oriented (BCC_I)	Output-oriented (BCC_O)
$m i n_{\emptyset, λ, s^{+}, s^{-}}$	$m a x_{\emptyset, λ, s^{+}, s^{-}}$
$z_{0} = \emptyset - ε \cdot \vec{1} s^{+} - ε \cdot \vec{1} s^{-}$	$z_{0} = \emptyset + ε \cdot \vec{1} s^{+} + ε \cdot \vec{1} s^{-}$
Subject to: $\emptyset X_{0} - X λ - s^{-} = 0$	Subject to: $\emptyset Y_{0} - Y λ + s^{+} = 0$
$Y λ - s^{+} = Y_{0}$	$X λ + s^{-} = X_{0}$
$\vec{1} λ = 1$	$\vec{1} λ = 1$
$λ, s^{+}, s^{-} \geq 0$	$λ, s^{+}, s^{-} \geq 0$

Source(s): Authors’ own creation based on Charnes et al. (2013)

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