A Hybrid Integer Data Envelopment Analysis Based on an Alternative Approach of Super Slack Based Measure for Measuring Super Efficiency and Inefficiency of Decision Making Units

Taleb, Mushtaq; Ramli, Razamin; Khalid, Ruzelan

doi:10.17654/ms100010147

Cited by 8 publications

(5 citation statements)

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“…To simultaneously deal with the input and output slacks, a nonradial SBM model was proposed by Tone (2001). Since the model allows input decrement and output increment at different rates, it can effectively discriminate among inefficient and efficient DMUs (Du et al, 2010;Hussain et al, 2016;Taleb et al, 2018). The model, however, cannot discriminate and rank efficient DMUs (Chen, 2013).…”

Section: IImentioning

confidence: 99%

Environmental efficiency under weak disposability: an improved super efficiency data envelopment analysis model with application for assessment of port operations considering NetZero

Taleb

Khalid

Emrouznejad

et al. 2022

Environ Dev Sustain

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Due to ports have rapidly been expanding, air pollution resulted from port operations has expansion and become a persistent concern for environmentalist and policy makers. The objective of this paper is to measure the environmental efficiency of ports in Korea. The main characteristic of the environmental efficiency assessment problem is that undesirable output of carbon dioxide (CO2) emissions and exogenous fixed input of the terminal area of ports should concurrently be considered. By analysing the impacts of the exogenous fixed input and undesirable outputs on decision making units (DMUs) performance, a super efficiency slacks-based measure in data envelopment analysis (SE-SBM-DEA) approach is proposed. The proposed approach consists of two models are slacks-based measure (SBM) model and super efficiency SBM (SE-SBM) model. The models effectively discriminate between efficient and inefficient ports, and rank their efficiencies. To restrict any decreases or increases in the fixed input levels, the slacks of fixed inputs are removed from the target functions and their relevant constraints of the proposed approach. In addition, the undesirable outputs are formulated according to the weak disposability assumption, so that they can only be reduced with the reduction of certain desirable outputs. Hence, its slack should also be removed from the SBM and SE-SBM models. As a result, the scalar measures of the models only deal with the discretionary inputs and desirable outputs of a DMU being evaluated. We examine the applicability of the proposed approach, using real data, for 19 ports in Korea.

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Section: IImentioning

confidence: 99%

Environmental efficiency under weak disposability: an improved super efficiency data envelopment analysis model with application for assessment of port operations considering NetZero

Taleb

Khalid

Emrouznejad

et al. 2022

Environ Dev Sustain

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“…Since the super efficiency radial model which proposed by Andersen and Petersen (1993) suffered from the infeasibility issue under the technology of variable return to scale (VRS), Tone (2002) proposed a super efficiency slack-based measure (SE-SBM) model. The model has several salient features which are: (i) the model deals with input and output slacks simultaneously, (ii) it achieves the feasibility under the two technologies of constant return to scale (CRS) and variable return to scale (VRS) because it determines the maximum increasing in inputs (input saving) and maximum decreasing in outputs (output surplus), (iii) its objective function is invariant, and (iv) its scalar measure simultaneously deals with input excess/output shortfall (Du et al, 2010;Duzakın & Duzakın, 2007;Hussain et al, 2016;Taleb et al, 2018). All these features have made the model is more appropriate in evaluating the efficiency of an organization seeking both input reduction and output augmentation.…”

Section: Literature Reviewmentioning

confidence: 99%

“…To discriminate between fully efficient DMUs, Tone (2002) constructed a super efficiency slack-based measure (SE-SBM) model by excluding the efficient DMUo from its efficient frontier of the SBM model. The model measures the non-radial distance between an excluded efficient DMU and the efficient frontier formed by the remaining efficient DMUs; thus, it deals with slacks of input and output simultaneously (Hussain et al, 2016). This feature of Tone's (2002) model made it more appropriate in dealing with real life applications.…”

Section: Introductionmentioning

confidence: 99%

Efficiency of banks in Malaysia: A super efficiency approach

Kasim

Ramli

Baten

et al. 2019

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The stability of the economic system of a country very much depends on its banking industry. Data Envelopment Analysis (DEA) has been applied widely for measuring efficiency of banks. Limited studies, however, have employed the radial and non-radial DEA models to evaluate efficiency of banks without considering the ranking of the fully efficient banks since those banks have the same efficiency score. Considering the weakness of the radial and non-radial DEA, this paper aims to calculate the banks efficiency of nine commercial banks in Malaysia from 2004 to 2013 by adopting the two-stage of super efficiency slack-based measure (SE-SBM) model. This model can discriminate between the efficient banks and recalculate their efficiency scores. Then, the selected banks were able to be ranked according to their final efficiency scores. Moreover, comparative analyses of the efficiency of the banks and the year-wise efficiency of the selected banks were also conducted. The methodology consists of two stages. In the first stage the SBM model is run to classify efficient and inefficient banks. In the second stage the super efficiency model is run to rank the efficient banks obtained from the first stage by calculating their super efficiency scores. Our empirical results show that: (1) the efficiency status of the banks fluctuated over the examined period, the high number of the efficient banks is achieved in the years 2006 and 2008, while the year 2012 has the lowest number of the efficient banks. (2) the ranking of the banks fluctuated in the studied period. (3) most of the banks are inefficient in terms of their average efficiency scores. This paper has two limitations. First, the paper did not integrate undesirable output, despite it deals with non-interest income. Second, performance evaluation of Malaysian commercial banks was only compared among the Malaysian banks.

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“…The inputs and outputs used in this paper were classified into three inputs and three outputs. The inputs are: 1) the number of postgraduate enrollment (x 1 ), 2) the number of undergraduate enrollment (x 2 ) (Katharaki & Katharakis, 2010;Kuah & Wong, 2011), and 3) the number of academic staff (x 3 ) (Hussain, Ramli, & Khalid, 2016;Taleb, Ramli, & Khalid, 2018). The three outputs are: 1) the number of graduated postgraduate students (y 1 ) (Daraio, Bonaccorsi, & Simar, 2015), 2) the number of graduated undergraduate students (y 2 ) (Daraio et al, 2015), and 3) the number of graduates who furthered their studies (y 3 ) (Cordero-Ferrera, Pedraja-Chaparro, & Salinas-Jim enez, 2008; Taleb et al, 2018).…”

Section: Datasetmentioning

confidence: 99%

Estimating the return to scale of an integer-valued data envelopment analysis model: efficiency assessment of a higher education institution

Taleb

Khalid

Ramli

2019

Arab Journal of Basic and Applied Sciences

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The integer radial data envelopment analysis (IDEA) approach has been introduced by numerous efficiency studies to accurately measure various real life applications where some of their inputs and/or outputs are restricted to integer values. However, all these studies have not addressed the nature of return to scale (RTS) in terms of an output integer-valued DEA model. This paper thus discusses the RTS for an output oriented integer-valued DEA model to identify its regions (increasing, decreasing, and constant). These regions are identified by classifying the efficiency scores resulting from the output-oriented integer-valued DEA model under constant return to scale (CRS) and variable return to scale (VRS) as well as the intensity factors' values corresponding to the model under CRS. As an illustration purpose, the output oriented integer-valued DEA model under the two technologies was applied to the empirical data of public universities in Malaysia. The results showed that only half (50%) and slightly over half (55%) of the universities were efficient under CRS and VRS, respectively. In spite of this fact, some of the inefficient universities have a room for efficiency improvement by decreasing their inputs and increasing their outputs. In addition, the calculated scale efficiency and regions of the RTS showed that 50% of the universities were operating in the region of CRS, and each 25% of them were operating in increasing and decreasing RTS.

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A Hybrid Integer Data Envelopment Analysis Based on an Alternative Approach of Super Slack Based Measure for Measuring Super Efficiency and Inefficiency of Decision Making Units

Cited by 8 publications

References 0 publications

Environmental efficiency under weak disposability: an improved super efficiency data envelopment analysis model with application for assessment of port operations considering NetZero

Environmental efficiency under weak disposability: an improved super efficiency data envelopment analysis model with application for assessment of port operations considering NetZero

Efficiency of banks in Malaysia: A super efficiency approach

Estimating the return to scale of an integer-valued data envelopment analysis model: efficiency assessment of a higher education institution

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