Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach

The problem of determining an optimal benchmark to inefficient decision-making units (DMUs) is an important issue in the field of performance analysis. Previous methods for determining the projection points of inefficient DMUs have only focused on one objective and other features have been ignored....

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Main Authors: Seyedeh Fatemeh Bagheri, Alireza Amirteimoori, Sohrab Kordrostami, Mansour Soufi
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2022/9198737
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author Seyedeh Fatemeh Bagheri
Alireza Amirteimoori
Sohrab Kordrostami
Mansour Soufi
author_facet Seyedeh Fatemeh Bagheri
Alireza Amirteimoori
Sohrab Kordrostami
Mansour Soufi
author_sort Seyedeh Fatemeh Bagheri
collection DOAJ
description The problem of determining an optimal benchmark to inefficient decision-making units (DMUs) is an important issue in the field of performance analysis. Previous methods for determining the projection points of inefficient DMUs have only focused on one objective and other features have been ignored. This paper attempts to determine the best projection point for each DMU when the inputs and outputs data are in stochastic form and presents an alternative definition for the best projection by considering three main aspects: technical efficient, minimal cost, and maximal revenue as much as possible. Considering the important role of the electricity industry in the economic growth of each country, a practical example has been implemented on 16 regional electricity companies in Iran in 9 consecutive periods. The efficiency score along with the projection points of the three technical models (BCC model of Banker et al. (1984)), cost, and stochastic revenue are compared with the projection point obtained from the model presented in this article, which simultaneously meets these three objectives, showing the improvement of companies’ performance.
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institution OA Journals
issn 1099-0526
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publishDate 2022-01-01
publisher Wiley
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series Complexity
spelling doaj-art-667fdefadc2748d28396fb0df3100e5b2025-08-20T02:23:44ZengWileyComplexity1099-05262022-01-01202210.1155/2022/9198737Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis ApproachSeyedeh Fatemeh Bagheri0Alireza Amirteimoori1Sohrab Kordrostami2Mansour Soufi3Department of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsDepartment of Industrial ManagementThe problem of determining an optimal benchmark to inefficient decision-making units (DMUs) is an important issue in the field of performance analysis. Previous methods for determining the projection points of inefficient DMUs have only focused on one objective and other features have been ignored. This paper attempts to determine the best projection point for each DMU when the inputs and outputs data are in stochastic form and presents an alternative definition for the best projection by considering three main aspects: technical efficient, minimal cost, and maximal revenue as much as possible. Considering the important role of the electricity industry in the economic growth of each country, a practical example has been implemented on 16 regional electricity companies in Iran in 9 consecutive periods. The efficiency score along with the projection points of the three technical models (BCC model of Banker et al. (1984)), cost, and stochastic revenue are compared with the projection point obtained from the model presented in this article, which simultaneously meets these three objectives, showing the improvement of companies’ performance.http://dx.doi.org/10.1155/2022/9198737
spellingShingle Seyedeh Fatemeh Bagheri
Alireza Amirteimoori
Sohrab Kordrostami
Mansour Soufi
Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
Complexity
title Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
title_full Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
title_fullStr Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
title_full_unstemmed Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
title_short Performance Analysis in Production Systems with Uncertain Data: A Stochastic Data Envelopment Analysis Approach
title_sort performance analysis in production systems with uncertain data a stochastic data envelopment analysis approach
url http://dx.doi.org/10.1155/2022/9198737
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AT alirezaamirteimoori performanceanalysisinproductionsystemswithuncertaindataastochasticdataenvelopmentanalysisapproach
AT sohrabkordrostami performanceanalysisinproductionsystemswithuncertaindataastochasticdataenvelopmentanalysisapproach
AT mansoursoufi performanceanalysisinproductionsystemswithuncertaindataastochasticdataenvelopmentanalysisapproach