Negative features of hyperbolic and directional distance models for technologies with undesirable outputs
Margaréta Halická () and
Mária Trnovská ()
Additional contact information
Margaréta Halická: Comenius University in Bratislava
Mária Trnovská: Comenius University in Bratislava
Central European Journal of Operations Research, 2018, vol. 26, issue 4, 887-907
Abstract In data envelopment analysis for environmental performance measurement the undesirable outputs are taken into account. Ones of the standard approaches for dealing with the undesirable outputs are the hyperbolic and the directional distance measures. They both allow a simultaneous expansion of desirable outputs and a contraction of undesirable outputs by means of a single parameter. To meet environmental requirements, a technology with no disposability of undesirable outputs is often considered and the outputs are assumed to be only weakly disposable. We show that the combination of this type of technology with the hyperbolic measure, (or with its linearization, which is a special type of the directional distance model) may lead to a misleading efficiency score of the unit under evaluation. We derive the dual of the hyperbolic model under the environmental technology and describe some of its properties. Then, we use the hyperbolic and directional distance dual models for developing a second-phase method. This enables to detect the misleading scores of the decision making units. We illustrate the results on a real world data set.
Keywords: Data envelopment analysis; Hyperbolic measure model; Directional measure model; Undesirable outputs; Semidefinite programing (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s10100-018-0567-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:cejnor:v:26:y:2018:i:4:d:10.1007_s10100-018-0567-2
Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10100
Access Statistics for this article
Central European Journal of Operations Research is currently edited by Ulrike Leopold-Wildburger
More articles in Central European Journal of Operations Research from Springer, Slovak Society for Operations Research, Hungarian Operational Research Society, Czech Society for Operations Research, Österr. Gesellschaft für Operations Research (ÖGOR), Slovenian Society Informatika - Section for Operational Research, Croatian Operational Research Society
Bibliographic data for series maintained by Sonal Shukla ().