DJL (version 3.9)

dm.dynamic.bc: Dynamic DEA in the presence of intertemporal Budget Constraints

Description

Employs the Farrell measure on carry-over budget as well as input or output

Usage

dm.dynamic.bc(xdata, ydata, zdata, bdata, rts="crs", orientation="i", wv=NULL)

Value

$eff.s

System Efficiency

$eff.t

Period Efficiency

$lambda

Intensity vectors

$xslack

Input slack

$yslack

Output slack

$zslack

Budget(spent) slack

$aslack

Budget(available) slack

Arguments

xdata

Input array (n by m by t)

ydata

Output array (n by s by t)

zdata

Budget(spent) array (n by b by t)

bdata

Budget(secured) array (n by b)

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 (default)
"o" Output-orientation

wv

Weight vector for scalarization (1 by m or s)

Author

Dong-Joon Lim, PhD

References

Lim, D.-J., M.-S., Kim, & K.-W., Lee. (2020). "A revised dynamic DEA model with budget constraints." International Transactions in Operational Research (In press).

See Also

dm.dea Distance measure using DEA

Examples

# Load data
  df.io <- array(c(2, 4, 8, 4, 1, 2, 2, 2, 3, 6, 12, 6,
                   5, 4, 3, 8, 1, 1, 1, 1, 5, 4,  3, 8),
                 c(4, 3, 2), 
                 dimnames = list(LETTERS[1:4], c("X", "Y", "z"), c("t1", "t2")))
  df.Z.0 <- array(c(9, 12, 18, 24), c(4, 1), dimnames = list(LETTERS[1:4], c("Z^0")))

# Run
  dm.dynamic.bc(df.io[,1,], df.io[,2,], df.io[,3,], df.Z.0)