PODINOVSKI, V.V. and BOUZDINE-CHAMEEVA, T., 2014. Consistent weight restrictions in data envelopment analysis. European Journal of Operational Research, 244 (1), pp.201–209
It has recently been shown that the incorporation of weight restrictions in models of data
envelopment analysis (DEA) may induce free or unlimited production of output vectors in
the underlying production technology, which is expressly disallowed by standard production
assumptions. This effect may either result in an infeasible multiplier model with weight
restrictions or remain undetected by normal efficiency computations. The latter is potentially
troubling because even if the efficiency scores appear unproblematic, they may still
be assessed in an erroneous model of production technology. Two approaches to testing
the existence of free and unlimited production have recently been developed: computational
and analytical. While the latter is more straightforward than the former, its application is
limited only to unlinked weight restrictions. In this paper we develop several new analytical
conditions for a larger class of unlinked and linked weight restrictions.
This paper was accepted for publication in the journal European Journal of Operational Research and the definitive published version is available at http://dx.doi.org/10.1016/j.ejor.2015.01.037.