model_nonradial {deaR}

Non-radial DEA model.

Description

Non-radial DEA model allows for non-proportional reductions in each input or augmentations in each output.

Usage

model_nonradial(datadea,
                dmu_eval = NULL,
                dmu_ref = NULL,
                orientation = c("io", "oo"),
                rts = c("crs", "vrs", "nirs", "ndrs", "grs"),
                L = 1,
                U = 1,
                maxslack = TRUE,
                weight_slack = 1,
                compute_target = TRUE,
                returnlp = FALSE,
                ...)

Arguments

datadea

A deadata object, including n DMUs, m inputs and s outputs.

dmu_eval

A numeric vector containing which DMUs have to be evaluated. If NULL (default), all DMUs are considered.

dmu_ref

A numeric vector containing which DMUs are the evaluation reference set. If NULL (default), all DMUs are considered.

orientation

A string, equal to "io" (input-oriented) or "oo" (output-oriented).

rts

A string, determining the type of returns to scale, equal to "crs" (constant), "vrs" (variable), "nirs" (non-increasing), "ndrs" (non-decreasing) or "grs" (generalized).

L

Lower bound for the generalized returns to scale (grs).

U

Upper bound for the generalized returns to scale (grs).

maxslack

Logical. If it is TRUE, it computes the max slack solution.

weight_slack

If input-oriented, it is a value, vector of length s, or matrix s x ne (where ne is the length of dmu_eval) with the weights of the output slacks for the max slack solution. If output-oriented, it is a value, vector of length m, or matrix m x ne with the weights of the input slacks for the max slack solution.

compute_target

Logical. If it is TRUE, it computes targets of the max slack solution.

returnlp

Logical. If it is TRUE, it returns the linear problems (objective function and constraints) of stage 1.

...

Ignored, for compatibility issues.

Author(s)

Vicente Coll-Serrano ([e-mail]). Quantitative Methods for Measuring Culture (MC2). Applied Economics.

Vicente Bolós ([e-mail]). Department of Business Mathematics

Rafael Benítez ([e-mail]). Department of Business Mathematics

University of Valencia (Spain)

References

Banker, R.D.; Morey, R.C. (1986). "Efficiency Analysis for Exogenously Fixed Inputs and Outputs", Operations Research, 34, 80-97. doi:10.1287/opre.34.4.513

Färe, R.; Lovell, C.K. (1978). "Measuring the Technical Efficiency of Production", Journal of Economic Theory, 19(1), 150-162. doi:10.1016/0022-0531(78)90060-1

Wu, J.; Tsai, H.; Zhou, Z. (2011). "Improving Efficiency in International Tourist Hotels in Taipei Using a Non-Radial DEA Model", International Journal of Contemporary Hospitatlity Management, 23(1), 66-83. doi:10.1108/09596111111101670

Zhu, J. (1996). “Data Envelopment Analysis with Preference Structure”, The Journal of the Operational Research Society, 47(1), 136. doi:10.2307/2584258

See Also

model_deaps, model_profit, model_sbmeff

Examples

# Replication of results in Wu, Tsai and Zhou (2011)
data("Hotels")
data_hotels <- make_deadata(Hotels, 
                            inputs = 2:5, 
                            outputs = 6:8)
result <- model_nonradial(data_hotels, 
                          orientation = "oo", 
                          rts = "vrs")
efficiencies(result)