sbm.vrs {nonparaeff}

Linear Programming for the Slacks-based Model under the VRS

Description

Solve Slacks-based Model under the VRS (Tone, 2001)

Usage

sbm.vrs(base= NULL, frontier = NULL, noutput = 1)

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 construct 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).

Details

The SBM under the VRS assumption is calculated. See Tone (2001).

Value

A data frame with (1+J1+M+N), which shows efficiency scores, optimal weights, and optiaml input and output slacks.

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).

Tone, K. (2001). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130(3):498-509.

See Also

sbm.tone

Examples

tab7.6.dat <- data.frame(y = c(1, 1, 1, 1, 1, 1),
                              x1 = c(1, 3, 6, 2, 5, 9),
                              x2 = c(4, 1, 1, 8, 5, 2))
(re <- sbm.vrs(tab7.6.dat, noutput = 1))