Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach

Performance evaluation using interactive methods and extended ratio-based approaches can be very important for some organizations. Free disposal hull models can be created if there is no concern for convexity, and using non-radial DEA models can simultaneously create more logical and practical situa...

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Main Authors: Mehdi Abbasi, Mohammad Reza Mozaffari, Peter F. Wanke, Mohamad Amin Kaviani
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/22/10626
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author Mehdi Abbasi
Mohammad Reza Mozaffari
Peter F. Wanke
Mohamad Amin Kaviani
author_facet Mehdi Abbasi
Mohammad Reza Mozaffari
Peter F. Wanke
Mohamad Amin Kaviani
author_sort Mehdi Abbasi
collection DOAJ
description Performance evaluation using interactive methods and extended ratio-based approaches can be very important for some organizations. Free disposal hull models can be created if there is no concern for convexity, and using non-radial DEA models can simultaneously create more logical and practical situations for finding DMU targets. In this paper, a new hybrid technique based on the additive slack based method and enhanced Russel measure in variable return to scale technology has been proposed. The proposed technique can find decision making unit targets in non-radial free disposal hull models using the step method. Furthermore, the extended ratio-based approach in the proposed technique has been applied to find DMU targets of related non-radial free disposal hull models without solving any mathematical programming models. Finally, targets of Fars province pharmaceutical distributing companies were found by applying the proposed hybrid technique.
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spelling doaj.art-1e3dddbebfd345e0824cc3295c2c07382023-11-22T22:16:33ZengMDPI AGApplied Sciences2076-34172021-11-0111221062610.3390/app112210626Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based ApproachMehdi Abbasi0Mohammad Reza Mozaffari1Peter F. Wanke2Mohamad Amin Kaviani3Department of Industrial Engineering, Shiraz Branch, Islamic Azad University, Shiraz, IranDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, IranBusiness Analytics and Economics Research Unit, COPPEAD Graduate Business School, Federal University of Rio de Janeiro, Rua Paschoal Lemme, 355, Rio de Janeiro 21941-901, BrazilDepartment of Management and Technology, Université du Québec à Montréal, Montreal, QC H0H H9X, CanadaPerformance evaluation using interactive methods and extended ratio-based approaches can be very important for some organizations. Free disposal hull models can be created if there is no concern for convexity, and using non-radial DEA models can simultaneously create more logical and practical situations for finding DMU targets. In this paper, a new hybrid technique based on the additive slack based method and enhanced Russel measure in variable return to scale technology has been proposed. The proposed technique can find decision making unit targets in non-radial free disposal hull models using the step method. Furthermore, the extended ratio-based approach in the proposed technique has been applied to find DMU targets of related non-radial free disposal hull models without solving any mathematical programming models. Finally, targets of Fars province pharmaceutical distributing companies were found by applying the proposed hybrid technique.https://www.mdpi.com/2076-3417/11/22/10626data envelopment analysis (DEA)additive slack based methodnon-radial free disposal hull (FDH)step method (STEM)ratio-based approach (RBA)
spellingShingle Mehdi Abbasi
Mohammad Reza Mozaffari
Peter F. Wanke
Mohamad Amin Kaviani
Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
Applied Sciences
data envelopment analysis (DEA)
additive slack based method
non-radial free disposal hull (FDH)
step method (STEM)
ratio-based approach (RBA)
title Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
title_full Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
title_fullStr Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
title_full_unstemmed Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
title_short Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach
title_sort finding targets in non radial fdh models a hybrid technique based on stem and extended ratio based approach
topic data envelopment analysis (DEA)
additive slack based method
non-radial free disposal hull (FDH)
step method (STEM)
ratio-based approach (RBA)
url https://www.mdpi.com/2076-3417/11/22/10626
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