dm.dea: Distance measure using DEA

In DJL: Distance Measure Based Judgment and Learning

Distance measure using DEA

Description

Implements Charnes & Cooper's data envelopment analysis (radial & oriented measure).

Usage

dm.dea(xdata, ydata, rts="crs", orientation,
       se=FALSE, sg="ssm", date=NULL, ncv=NULL, env=NULL, cv="convex", o=NULL)

Arguments

xdata	Input(s) vector (n by m)
ydata	Output(s) vector (n by s)
rts	Returns to scale assumption "crs" Constant RTS (default) "vrs" Variable RTS "irs" Increasing RTS "drs" Decreasing RTS
orientation	Orientation of the measurement "i" Input-orientation "o" Output-orientation
se	Implements Andersen & Petersen's super-efficiency model if TRUE
sg	Employs second-stage optimization "ssm" Slack-sum maximization (default) "max" Date-sum maximization (only if date is defined) "min" Date-sum minimization (only if date is defined)
date	Production date (n by 1)
ncv	Non-controllable variable index(binary) for internal NDF (1 by (m+s))
env	Environment index for external NDF (n by 1)
cv	Convexity assumption "convex" Convexity holds (default) "fdh" Free disposal hull (this will override rts)
o	DMU index to calc. NULL(default) will calc for all

Value

$eff	Efficiency score
$lambda	Intensity vector
$xslack	Input slack
$yslack	Output slack
$vx	Input (dual) weight
$uy	Output (dual) weight
$w	Free (dual) variable

Author(s)

Dong-Joon Lim, PhD

References

Charnes, Abraham, William W. Cooper, and Edwardo Rhodes. "Measuring the efficiency of decision making units." European journal of operational research 2.6 (1978): 429~444.

Charnes, Abraham, William W. Cooper, and Edwardo Rhodes. "Evaluating program and managerial efficiency: an application of data envelopment analysis to program follow through." Management science 27.6 (1981): 668~697.

Banker, Rajiv D., and Richard C. Morey. "Efficiency analysis for exogenously fixed inputs and outputs." Operations Research 34.4 (1986): 513~521.

Ruggiero, John. "On the measurement of technical efficiency in the public sector." European Journal of Operational Research 90.3 (1996): 553~565.

Fried, Harold O., CA Knox Lovell, and Shelton S. Schmidt, eds. The measurement of productive efficiency and productivity growth. Oxford University Press, 2008.

See Also

dm.ddf Distance measure using DDF
dm.dea Distance measure using DEA
dm.hdf Distance measure using HDF
dm.sbm Distance measure using SBM
dm.sf Distance measure using SF

Examples

# Reproduce Table 3.9 (p.348) in Fried, H.O. et al.(2008)
  # ready
  X <- data.frame(x1 = c(8, 6,   3,   10, 6,   8,   8, 4),
                  x2 = c(8, 4.6, 1.9, 9,  3.6, 3.6, 9, 1.9))
  Y <- data.frame(y1 = c(8, 5,   2,   9,  4.5, 4.5, 7, 2))
  C <- data.frame(x1 = 0, x2 = 1, y1 = 0)

  # go
  data.frame(ALL_CRS = dm.dea(X, Y, "crs", "i")$eff,
             ALL_VRS = dm.dea(X, Y, "vrs", "i")$eff,
             NDF_CRS = dm.dea(X, Y, "crs", "i", ncv = C)$eff,
             NDF_VRS = dm.dea(X, Y, "vrs", "i", ncv = C)$eff,
             row.names = LETTERS[1 : 8])

DJL documentation built on March 31, 2023, 9:05 p.m.