Avoiding infeasibility in DEA models with weight restrictions

The flexibility of weights assigned to inputs and outputs is a key aspect of DEA modeling. However, excessive weight variability and implausible weight values have led to the development of DEA models that incorporate weight restrictions, reflecting expert judgment. This in turn has created problems...

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Bibliographic Details
Published in:European journal of operational research 2007-09, Vol.181 (2), p.956-966
Main Authors: Estellita Lins, M.P., Moreira da Silva, A.C., Lovell, C.A.K.
Format: Article
Language:English
Subjects:
Applied sciences
Data envelopment analysis
DEA
Exact sciences and technology
Feasibility
Infeasibility
Linear programming
Operational research. Management science
Studies
Weight
Weight restrictions
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Summary:The flexibility of weights assigned to inputs and outputs is a key aspect of DEA modeling. However, excessive weight variability and implausible weight values have led to the development of DEA models that incorporate weight restrictions, reflecting expert judgment. This in turn has created problems of infeasibility of the corresponding linear programs. We provide an existence theorem that establishes feasibility conditions for DEA multiplier programs with weight restrictions. We then propose a linear model that tests for feasibility and a nonlinear model that provides minimally acceptable adjustments to the original restrictions that render the program feasible. The analysis can be applied to restrictions on weight ratios, or to restrictions on virtual inputs or outputs.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2006.05.041