dm.hdf: Distance measure using HDF

In DJL: Distance Measure Based Judgment and Learning

Distance measure using HDF

Description

Implements Fare's hyperbolic distance function (semi-radial & non-oriented measure).

Usage

dm.hdf(xdata, ydata, rts="crs", 
       wd=NULL, se=FALSE, sg="ssm", date=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
wd	Weak disposability vector indicating (an) undesirable output(s) (1 by s)
se	Implements super-efficiency model alike Anderson & Peterson's 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)
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
$mu	Secondary intensity vector for weak disposability under VRS
$xslack	Input slack
$yslack	Output slack
$iteration	The number of iteration to obtain the hyperbolic efficiency score

Author(s)

Dong-Joon Lim, PhD

References

Fare, R., Shawna Grosskopf, and CA Knox Lovell. The Measurement of Efficiency of Production. Boston: Kulwer-Nijhoff (1985).

Fare, Rolf, et al. "Estimating the hyperbolic distance function: A directional distance function approach." European Journal of Operational Research 254.1 (2016): 312~319.

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 2 in Fare et al.(2016)
  # ready
  x <- data.frame(x1 = c(2, 4, 9, 6.5, 10, 6, 9))
  y <- data.frame(y1 = c(3, 7, 10, 8.5, 4, 2, 8))

  # go
  sf  <- dm.sf (x, y, "vrs")$eff
  hdf <- dm.hdf(x, y, "vrs")$eff
  matrix(t(cbind(sf, hdf)), 2, 7, 
         dimnames = list(c("SF", "HDF"), 
                         paste0("DMU_", c(letters[1:4], "o", "p", "q")))) 

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