model_fdh: Free disposal hull (FDH) model.
In deaR: Conventional and Fuzzy Data Envelopment Analysis

model_fdh

R Documentation

Free disposal hull (FDH) model.

Description

FDH model allows the free disposability to construct the production possibility set. The central feature of the FDH model is the lack of convexity for its production possibility set (Thrall, 1999).

Usage

model_fdh(datadea,
          fdh_modelname = c("basic"),
          ...)

Arguments

`datadea`	A `deadata` object, including DMUs, inputs and outputs.
`fdh_modelname`	A string containing the name of the model to apply FDH. For now, only "basic" is available.
`...`	`dmu_eval`, `dmu_ref`, `orientation` and other model parameters. Parameters like `rts`, `max_slack` and `returnlp` are ignored.

Author(s)

Vicente Coll-Serrano (vicente.coll@uv.es). Quantitative Methods for Measuring Culture (MC2). Applied Economics.

Vicente Bolós (vicente.bolos@uv.es). Department of Business Mathematics

Rafael Benítez (rafael.suarez@uv.es). Department of Business Mathematics

University of Valencia (Spain)

References

Cherchye, L.; Kuosmanen, T.; Post, T. (2000). "What Is the Economic Meaning of FDH? A Reply to Thrall". Journal of Productivity Analysis, 13(3), 263–267.

Deprins, D.; Simar, L. and Tulkens, H. (1984). Measuring Labor-Efficiency in Post Offices. In M. Marchand, P. Pestieau and H. Tulkens (eds.), The Performance of Public Entreprises: Concepts and Measurement. Amsterdam: North-Holland.

Sanei, M.; Mamizadeh Chatghayeb, S. (2013). “Free Disposal Hull Models in Supply Chain Management”, International Journal of Mathematical Modelling and Computations, 3(3), 125-129.

Thrall, R. M. (1999). "What Is the Economic Meaning of FDH?", Journal of Productivity Analysis, 11(3), 243–50.

Examples

# Example 1. FDH input-oriented.
# Replication of results in Sanei and Mamizadeh Chatghayeb (2013)
data("Supply_Chain")
data_fdh1 <- make_deadata(Supply_Chain, 
                          inputs = 2:4, 
                          outputs = 5:6)
result <- model_fdh(data_fdh1) # by default orientation = "io"
efficiencies(result)

# Example 2. FDH output-oriented.
# Replication of results in Sanei and Mamizadeh Chatghayeb (2013)
data("Supply_Chain")
data_fdh2 <- make_deadata(Supply_Chain, 
                          inputs = 5:6, 
                          outputs = 7:8)
result2 <- model_fdh(data_fdh2, 
                    orientation = "oo")
efficiencies(result2)

deaR documentation built on May 2, 2023, 5:13 p.m.