DEA: Multiplier Model¶

The dual linear programming problems to the envelopment models are called multiplier models. See the following Table:

Multiplier Models

(Source: Zhu, J., 2009. Multiplier and slack-based models. In Quantitative Models for Performance Evaluation and Benchmarking. Springer, Boston, MA.)

Example: DEA dual models [.ipynb]¶

# import packages
from pystoned import DEA
from pystoned import dataset as dataset
from pystoned.constant import RTS_VRS, OPT_LOCAL, ORIENT_IO

# import the data provided with Tim Coelli’s Frontier 4.1
data = dataset.load_Tim_Coelli_frontier()

# define and solve the DEA multiplier model
model = DEA.DUAL(data.y, data.x, rts=RTS_VRS, orient=ORIENT_IO, yref=None, xref=None)
model.optimize(OPT_LOCAL)

# display the multiplier y
model.display_mu()

# display the multiplier x
model.display_nu()

# print the technical efficiency
print(model.get_efficiency())