 A unified approach to non-radial graph models in data envelopment analysis: common features, geometry, and dualityMargaréta Halická and Maria Trnovska European Journal of Operational Research, 2021, vol. 289, issue 2, 611-627 Abstract: In data envelopment analysis (DEA), non-radial graph models represent an important class characterized by the independent treatment of each input and output factor in the efficiency measurement. The extensive literature on this topic often analyses individual models in isolation, so much so that the same model may be known under different names due to alternative formulations of different authors. In this paper, a unified analysis of non-radial graph models is offered, viewing each of them via two equivalent schemes: the slack-variables scheme and the Russell-type scheme. Under these schemes, the properties common to the whole class are specified and justified. Along with the two envelopment form schemes, a general dual (multiplier) form is presented. Primal-dual relationships between the envelopment and multiplier non-radial models are analyzed in order to reveal new useful properties and insights. Keywords: Data envelopment analysis; Non-radial models; Weighted additive model; Russell measure model; Slacks-based model (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:289:y:2021:i:2:p:611-627 DOI: 10.1016/j.ejor.2020.07.019 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.