SDEA: Super-Efficiency DEA

In MultiplierDEA: Multiplier Data Envelopment Analysis and Cross Efficiency

Super-Efficiency DEA

Description

SDEA model to calculate the efficieny for each DMUs.

Usage

SDEA(x=x, y=y, orientation = "input", rts = "crs", Cook = FALSE)

Arguments

x	Inputs or resources used by each decision making unit.
y	Outputs or resources used by each decision making unit.
orientation	Orientation of the DEA model - primary emphasis on input-reduction input or output-augmentation output. Note the default is input orientation.
rts	Returns to scale for the application, or industry studied. Note the default rts is crs. vrs Variable returns to scale. crs Constant returns to scale.
Cook	Used with variable returns to scale to address infeasibility in efficiency. Note the default is FALSE. Use TRUE when using vrs rts.

Value

Input	Input Values (x) passed to the model.
Output	Output Values (y) passed to the model.
Orientation	Orientation of the model.
RTS	Returns to scale of the model.
Efficiency	Efficiency of each DMU in the model.
Theta	Used to calculate efficiency if the model is infeasiable. Note: Available only when Cook is set to TRUE.
Beta	Used to calculate efficiency if the model is infeasiable.Note: Available only when Cook is set to TRUE.
Lambda	Lambdas per DMU in the model.
StatusData	Returns the status of the LP model.

References

W.D. Cook, L. Liang, Y. Zha and J.Zhu (2009) A Modified Super-Efficiency DEA Model for Infeasibility, The Journal of the Operational Research Society Vol. 60, No. 2 (Feb., 2009), pp. 276-281.

Examples

x <-data.frame(matrix(c(12, 26, 16, 60 ),ncol=1))
rownames(x) <- c('a','b','c','d')
y <- data.frame(matrix(c(6, 8, 9, 15 ),ncol=1))
rownames(y) <- c('a','b','c','d')


result <- SDEA(x=x, y=y, orientation = "input", rts = "crs", Cook = FALSE)
# Examine the efficiency score for DMUs
print(result$Efficiency)

MultiplierDEA documentation built on Sept. 2, 2022, 1:06 a.m.