effdea.b.f {nonparaeff}

Linear Programming for the Data Envelopment Analysis

Description

Solve input(output)-oriented DEA under the CRS (VRS) with convexhull. Do not use when the total number of inputs and outputs are greater than eight. If used, it may take more than hundreds day to get results.

Usage

effdea.b.f(base = NULL, frontier = NULL, noutput = 1,
                       orientation=1, rts = 1, convhull = TRUE)

Arguments

base

A data set for DMUs to be evaluated. A data frame with J1*(M+N) dimention, where J1 is the number of DMUs, M for the number of inputs, and N for the number of outputs.

frontier

A data set for DMUs to be used in constructing a production possibility set (PPS). A data frame with J2*(M+N) dimention, where J2 is the number of DMUs, M for the number of inputs, and N for the number of outputs.

noutput

The number of outputs (N).

orientation

Orientation of measurement. 1 for the input-oriented measure, and 2 for the output-oriented measure.

rts

Returns to scale. 1 for the CRS assumption, and 2 for the VRS assumption.

convhull

Logical. If this is TRUE, very efficient calculation of efficiency score is used. However, when the total number of inputs and outputs is larger than eight, it is very slow for this option. In cases when the total number of inputs and outputs is larger than eight, use FALSE for this argument.

Details

This function uses the convhull function in geometry package. After finding convex hull of frontier by using the convhull function. points on the convex hull are used in constructing the second production possibility set (PPS). Then efficiency scores in base are calculated based on the second PPS.

Value

A data frame with J1*1 dimension, which shows efficiency scores.

Author(s)

Dong-hyun Oh, [e-mail]

References

Cooper, W., Seiford, L. and Tone, K. (2007). Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software (2nd ed.). Springer Verlag, New York.

Lee, J. and Oh, D. (forthcoming). Efficiency Analysis: Data Envelopment Analysis. Press (in Korean)

See Also

dual.dea

Examples

## input-oriented DEA under the CRS assumption (1 input and 1 output)
tab3.1.dat <- data.frame(y = c(1, 2, 4, 6, 7, 9, 9), 
                         x = c(3, 2, 6, 4, 8, 8, 10))
(re <- effdea.b.f(base = tab3.1.dat, noutput = 1, orientation = 1, rts =
1, convhull = TRUE))