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Continuous models combining slacks-based measures of efficiency and super-efficiency

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Continuous models combining slacks-based measures of efficiency and super-efficiency

dc.contributor.author	Bolós Lacave, Vicente
dc.contributor.author	Benítez Suárez, Rafael
dc.contributor.author	Coll Serrano, Vicente
dc.date.accessioned	2023-06-15T08:11:31Z
dc.date.available	2023-06-16T04:45:06Z
dc.date.issued	2023	es_ES
dc.identifier.citation	Bolós, V. J., Benítez, R., & Coll-Serrano, V. (2023). Continuous models combining slacks-based measures of efficiency and super-efficiency. Central European Journal of Operations Research, 31 (2), 363-391.	es_ES
dc.identifier.uri	https://hdl.handle.net/10550/87916
dc.description.abstract	In the framework of data envelopment analysis (DEA), Tone (Eur J Oper Res 130(3):498–509, 2001) introduced the slacks-based measure (SBM) of efficiency, which is a nonradial model that incorporates all the slacks of the evaluated decision-making units (DMUs) into their efficiency scores, unlike classical radial efficiency models. Next, Tone (Eur J Oper Res 143(1):32–41, 2002) developed the SBM super-efficiency model in order to differentiate and rank efficient DMUs, whose SBM efficiency scores are always 1. However, as pointed out by Chen (Eur J Oper Res 226(2):258–267, 2013), some interpretation problems arise when the so-called super-efficiency projections are weakly efficient, leading to an overestimation of the SBM super-efficiency score. Moreover, this overestimation is closely related to discontinuity issues when implementing SBM super-efficiency in conjunction with SBM efficiency. Chen (Eur J Oper Res 226(2):258–267, 2013) and Chen et al. (Ann Oper Res 278(1):101–121, 2019) treated these problems, but they did not arrive to a fully satisfactory solution. In this paper, we review these papers and propose a new complementary score, called composite SBM, that actually fixes the discontinuity problems by counteracting the overestimation of the SBM super-efficiency score. Moreover, we extend the composite SBM model to different orientations and variable returns to scale, and propose additive versions. Finally, we give examples and state some open problems.	es_ES
dc.language.iso	en	es_ES
dc.publisher	Springer	es_ES
dc.subject	data envelopment analysis	es_ES
dc.subject	super-efficiency	es_ES
dc.subject	super-inefficiency	es_ES
dc.subject	nonlinear programming	es_ES
dc.title	Continuous models combining slacks-based measures of efficiency and super-efficiency	es_ES
dc.type	journal article	es_ES
dc.subject.unesco	UNESCO::CIENCIAS TECNOLÓGICAS	es_ES
dc.identifier.doi	10.1007/s10100-022-00813-5	es_ES
dc.accrualmethod	CI	es_ES
dc.embargo.terms	0 days	es_ES
dc.type.hasVersion	VoR	es_ES
dc.rights.accessRights	open access	es_ES