A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia

Data envelopment analysis (DEA) is generally used to evaluate past performance and multi objective linear programming (MOLP) is often used to plan for future performance goals. In this study, we establish an equivalence relationship between MOLP problems and combined-oriented DEA models using a dire...

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Published in:Socio-economic planning sciences Vol. 61; pp. 70 - 89
Main Authors: Tavana, Madjid, Ebrahimnejad, Ali, Santos-Arteaga, Francisco J., Mansourzadeh, Seyed Mehdi, Matin, Reza Kazemi
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.03.2018
Elsevier Science Ltd
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ISSN:0038-0121, 1873-6041
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Abstract Data envelopment analysis (DEA) is generally used to evaluate past performance and multi objective linear programming (MOLP) is often used to plan for future performance goals. In this study, we establish an equivalence relationship between MOLP problems and combined-oriented DEA models using a direction distance function designed to account for desirable and undesirable inputs and outputs together with uncontrollable variables. This equivalence model can be effectively used to support interactive processes and performance measures designed to establish future performance goals while taking into account the preferences of decision makers (DMs). In particular, it allows DMs to consider different efficiency improvement strategies when subject to budgetary restrictions. The applicability of the proposed method and the efficacy of the procedures and algorithms are demonstrated using a case study where the performance of high schools in the City of Philadelphia is evaluated. •We define an equivalence relationship between MOLP and combined-oriented DEA models.•A direction distance function accounts for desirable, undesirable and uncontrollable factors.•Our model supports performance measures while taking into account the preferences of DMs.•DMs can modify the efficiency improvement strategies when subject to budgetary restrictions.•We use the model to evaluate the performance of high schools in the City of Philadelphia.
AbstractList Data envelopment analysis (DEA) is generally used to evaluate past performance and multi objective linear programming (MOLP) is often used to plan for future performance goals. In this study, we establish an equivalence relationship between MOLP problems and combined-oriented DEA models using a direction distance function designed to account for desirable and undesirable inputs and outputs together with uncontrollable variables. This equivalence model can be effectively used to support interactive processes and performance measures designed to establish future performance goals while taking into account the preferences of decision makers (DMs). In particular, it allows DMs to consider different efficiency improvement strategies when subject to budgetary restrictions. The applicability of the proposed method and the efficacy of the procedures and algorithms are demonstrated using a case study where the performance of high schools in the City of Philadelphia is evaluated. •We define an equivalence relationship between MOLP and combined-oriented DEA models.•A direction distance function accounts for desirable, undesirable and uncontrollable factors.•Our model supports performance measures while taking into account the preferences of DMs.•DMs can modify the efficiency improvement strategies when subject to budgetary restrictions.•We use the model to evaluate the performance of high schools in the City of Philadelphia.
Data envelopment analysis (DEA) is generally used to evaluate past performance and multi objective linear programming (MOLP) is often used to plan for future performance goals. In this study, we establish an equivalence relationship between MOLP problems and combined-oriented DEA models using a direction distance function designed to account for desirable and undesirable inputs and outputs together with uncontrollable variables. This equivalence model can be effectively used to support interactive processes and performance measures designed to establish future performance goals while taking into account the preferences of decision makers (DMs). In particular, it allows DMs to consider different efficiency improvement strategies when subject to budgetary restrictions. The applicability of the proposed method and the efficacy of the procedures and algorithms are demonstrated using a case study where the performance of high schools in the City of Philadelphia is evaluated.
Author Ebrahimnejad, Ali
Santos-Arteaga, Francisco J.
Matin, Reza Kazemi
Mansourzadeh, Seyed Mehdi
Tavana, Madjid
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  surname: Tavana
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  givenname: Ali
  surname: Ebrahimnejad
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  givenname: Francisco J.
  surname: Santos-Arteaga
  fullname: Santos-Arteaga, Francisco J.
  email: fsantosarteaga@unibz.it
  organization: School of Economics and Management, Free University of Bolzano, Bolzano, Italy
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  givenname: Seyed Mehdi
  surname: Mansourzadeh
  fullname: Mansourzadeh, Seyed Mehdi
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  organization: Department of Mathematics, University of Mazandaran, Babolsar, Iran
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  givenname: Reza Kazemi
  surname: Matin
  fullname: Matin, Reza Kazemi
  email: rkmatin@kiau.ac.ir
  organization: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
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Snippet Data envelopment analysis (DEA) is generally used to evaluate past performance and multi objective linear programming (MOLP) is often used to plan for future...
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SubjectTerms Academic achievement
Case studies
Closure
Correlation analysis
Data analysis
Data envelopment analysis
Decision makers
Decision making
Efficacy
Interactive process
Linear programming
Multi objective linear programming
Past performance
Performance evaluation
Preferences
Public schools
Secondary schools
Studies
Target unit
Uncontrollable variables
Undesirable inputs and outputs
Title A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia
URI https://dx.doi.org/10.1016/j.seps.2016.09.003
https://www.proquest.com/docview/2012060189
Volume 61
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