Efficiency in the Worst Production Situation Using Data Envelopment Analysis

Data envelopment analysis (DEA) measures relative efficiency among the decision making units (DMU) without considering noise in data.The least efficient DMU indicates that it is in the worst situation. In this paper, we measure efficiency of individual DMU whenever it losses the maximum output, an...

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Main Authors: Hossain, Md. Kamrul, Kamil, Anton Abdulbasah, Mustafa, Adli, Baten, Md. Azizul
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Subjects:
Online Access:http://eprints.usm.my/38928/1/Efficiency_in_the_Worst_Production_Situation_Using_Data_Envelopment_Analysis.pdf
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author Hossain, Md. Kamrul
Kamil, Anton Abdulbasah
Mustafa, Adli
Baten, Md. Azizul
author_facet Hossain, Md. Kamrul
Kamil, Anton Abdulbasah
Mustafa, Adli
Baten, Md. Azizul
author_sort Hossain, Md. Kamrul
collection USM
description Data envelopment analysis (DEA) measures relative efficiency among the decision making units (DMU) without considering noise in data.The least efficient DMU indicates that it is in the worst situation. In this paper, we measure efficiency of individual DMU whenever it losses the maximum output, and the efficiency of other DMUs is measured in the observed situation. This efficiency is the minimum efficiency of a DMU.The concept of stochastic data envelopment analysis (SDEA) is a DEA method which considers the noise in data which is proposed in this study.Using bounded Pareto distribution, we estimate theDEA efficiency fromefficiency interval. Small value of shape parameter can estimate the efficiencymore accurately using the Pareto distribution. Rank correlations were estimated between observed efficiencies and minimum efficiency as well as between observed and estimated efficiency. The correlations are indicating the effectiveness of this SDEA model.
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spelling usm.eprints-389282018-02-14T06:36:40Z http://eprints.usm.my/38928/ Efficiency in the Worst Production Situation Using Data Envelopment Analysis Hossain, Md. Kamrul Kamil, Anton Abdulbasah Mustafa, Adli Baten, Md. Azizul LC5800-5808 Distance education. QA1-939 Mathematics Data envelopment analysis (DEA) measures relative efficiency among the decision making units (DMU) without considering noise in data.The least efficient DMU indicates that it is in the worst situation. In this paper, we measure efficiency of individual DMU whenever it losses the maximum output, and the efficiency of other DMUs is measured in the observed situation. This efficiency is the minimum efficiency of a DMU.The concept of stochastic data envelopment analysis (SDEA) is a DEA method which considers the noise in data which is proposed in this study.Using bounded Pareto distribution, we estimate theDEA efficiency fromefficiency interval. Small value of shape parameter can estimate the efficiencymore accurately using the Pareto distribution. Rank correlations were estimated between observed efficiencies and minimum efficiency as well as between observed and estimated efficiency. The correlations are indicating the effectiveness of this SDEA model. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://eprints.usm.my/38928/1/Efficiency_in_the_Worst_Production_Situation_Using_Data_Envelopment_Analysis.pdf Hossain, Md. Kamrul and Kamil, Anton Abdulbasah and Mustafa, Adli and Baten, Md. Azizul (2013) Efficiency in the Worst Production Situation Using Data Envelopment Analysis. Advances in Decision Sciences, 2013 (354509). pp. 1-9. ISSN 2090-3359 http://dx.doi.org/10.1155/2013/354509
spellingShingle LC5800-5808 Distance education.
QA1-939 Mathematics
Hossain, Md. Kamrul
Kamil, Anton Abdulbasah
Mustafa, Adli
Baten, Md. Azizul
Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title_full Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title_fullStr Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title_full_unstemmed Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title_short Efficiency in the Worst Production Situation Using Data Envelopment Analysis
title_sort efficiency in the worst production situation using data envelopment analysis
topic LC5800-5808 Distance education.
QA1-939 Mathematics
url http://eprints.usm.my/38928/1/Efficiency_in_the_Worst_Production_Situation_Using_Data_Envelopment_Analysis.pdf
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