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A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia |
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| Affiliation: | 1. Business Systems and Analytics Department, Distinguished Chair of Business Analytics, La Salle University, Philadelphia, PA 19141, USA;2. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany;3. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;4. School of Economics and Management, Free University of Bolzano, Bolzano, Italy;5. Instituto Complutense de Estudios Internacionales, Universidad Complutense de Madrid, Pozuelo, Spain;6. Department of Mathematics, University of Mazandaran, Babolsar, Iran;7. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran;1. Institute of Management Control and Business Accounting, Technische Universität Braunschweig, Germany;2. Institute of Management Control and Business Accounting, Technische Universität Braunschweig, Germany;3. Aston Business School, Aston University, Birmingham B4 7ET, UK;4. Fox School of Business and Management, Temple University, Philadelphia, USA |
| 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. |
| Keywords: | Data envelopment analysis Undesirable inputs and outputs Uncontrollable variables Multi objective linear programming Interactive process Target unit |
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