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Zero weights and non-zero slacks: Different solutions to the same problem

2006Journal article Restricted access
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dc.contributor.authorPortela, Maria
dc.contributor.authorThanassoulis, Emmanuel
dc.date.accessioned2011-01-06T17:00:56Z
dc.date.available2011-01-06T17:00:56Z
dc.date.issued2006
dc.description.abstractThis paper re-assesses three independently developed approaches that are aimed at solving the problem of zero-weights or non-zero slacks in Data Envelopment Analysis (DEA). The methods are weights restricted, non-radial and extended facet DEA models. Weights restricted DEA models are dual to envelopment DEA models with restrictions on the dual variables (DEA weights) aimed at avoiding zero values for those weights; nonradial DEA models are envelopment models which avoid non-zero slacks in the input-output constraints. Finally, extended facet DEA models recognize that only projections on facets of full dimension correspond to well defined rates of substitution/transformation between all inputs/outputs which in turn correspond to non-zero weights in the multiplier version of the DEA model.We demonstrate how these methods are equivalent, not only in their aim but also in the solutions they yield. In addition, we show that the aforementioned methods modify the production frontier by extending existing facets or creating unobserved facets. Further we propose a new approach that uses weight restrictions to extend existing facets. This approach has some advantages in computational terms, because extended facet models normally make use of mixed integer programming models, which are computationally demanding.por
dc.identifier.citationPORTELA, Maria; THANASSOULIS, Emmanuel - Zero weights and non-zero slacks: Different solutions to the same problem. Annals of Operations Research. ISSN 0254-5330. Vol. 145 (2006), p. 129–147por
dc.identifier.doi10.1007/s10479-006-0029-4
dc.identifier.urihttp://hdl.handle.net/10400.14/3919
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringer Verlagpor
dc.subjectData Envelopment Analysis (DEA)por
dc.subjectWeight restrictionspor
dc.subjectNon-radial modelspor
dc.subjectEfficient facets analysispor
dc.titleZero weights and non-zero slacks: Different solutions to the same problempor
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor

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