Developing a two-stage approach of super efficiency slack-based measure in the presence of non-discretionary factors and mixed integer-valued data envelopment analysis. (1st August 2018)

• Record Type: Journal Article
• Authors: Taleb, Mushtaq; Ramli, Razamin; Khalid, Ruzelan
• Is Part Of: Expert systems with applications. Volume 103(2018)
• Page Start: 14
• Page End: 24
• Publication Date: 2018-08-01
• Subjects: Data envelopment analysis -- Integer-valued data -- Non-discretionary factors -- Slack-based measure -- Super efficiency; Expert systems (Computer science) -- Periodicals; Systèmes experts (Informatique) -- Périodiques; Electronic journals; 006.33
• DOI: 10.1016/j.eswa.2018.02.037
• Languages: English
• ISSNs: 0957-4174

Abstract

Highlights: Non-discretionary factors and mixed integer-valued DEA are integrated together. A two-stage approach of non-radial super efficiency is proposed. The projection of an efficient decision making unit is strongly-Pareto efficient. The applicability of the approach is examined using an empirical application. Abstract: An alternatve approach of super efficiency slack-based measure data envelopment analysis has been proposed to make the projection of an efficient decision making unit strongly-Pareto efficient. The approach however did not examine the simultaneous effect of non-discretionary factors and integer requirements on efficiency measures. To obtain more accurate efficiency measures, this paper proposes a two-stage approach of super efficiency slack-based measure in non-discretionary factors and mixed integer requirements. Both new factors and requirements were first integrated into the existing approach. The optimal solution of the proposed approach was then obtained by transforming its fractional form to a linear form. Thus, the scalar measures of the proposed approach can now deal directly with discretionary mixed integer input saving-output surplus and discretionary mixed integer input excess-output shortfall. The practicability of the proposed approach was tested using empirical data of Malaysian community colleges.