Table 3 Ratio efficiency measures Total...

Table 3

Ratio efficiency measures

	Total efficiency of D under CRS	Pure efficiency of D under VRS	Scale efficiency of D
Input-oriented DEA model	$ρ_{C R S - I} = \frac{\bar{O D_{C R S - I}}}{\bar{O D}}$	$ρ_{V R S - I} = \frac{\bar{O D_{V R S - I}}}{\bar{O D}}$	$ρ_{s c a l e - I} = \frac{\bar{O D_{C R S - I}}}{\bar{O D_{V R S - I}}}$
Output-oriented DEA model	$ρ_{C R S - O} = \frac{\bar{I D}}{\bar{I D_{C R S - O}}}$	$ρ_{V R S - O} = \frac{\bar{I D}}{\bar{I D_{V R S - O}}}$	$ρ_{s c a l e - O} = \frac{\bar{I D_{C R S - O}}}{\bar{I D_{V R S - O}}}$

	Total efficiency of D under CRS	Pure efficiency of D under VRS	Scale efficiency of D
Input-oriented DEA model	$ρ_{C R S - I} = \frac{\bar{O D_{C R S - I}}}{\bar{O D}}$	$ρ_{V R S - I} = \frac{\bar{O D_{V R S - I}}}{\bar{O D}}$	$ρ_{s c a l e - I} = \frac{\bar{O D_{C R S - I}}}{\bar{O D_{V R S - I}}}$
Output-oriented DEA model	$ρ_{C R S - O} = \frac{\bar{I D}}{\bar{I D_{C R S - O}}}$	$ρ_{V R S - O} = \frac{\bar{I D}}{\bar{I D_{V R S - O}}}$	$ρ_{s c a l e - O} = \frac{\bar{I D_{C R S - O}}}{\bar{I D_{V R S - O}}}$