A dynamic multi-stage data envelopment analysis model with application to energy consumption in the cotton industry |
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| Affiliation: | 1. Department of Industrial Engineering South-Tehran Branch, Islamic Azad University, Tehran, Iran;2. Business Systems and Analytics Department, Distinguished Chair of Business Analytics, La Salle University, Philadelphia, PA 19141, USA;3. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany;4. Departamento de Economía Aplicada II and Instituto Complutense de Estudios Internacionales Universidad Complutense de Madrid Campus de Somosaguas, 28223 Pozuelo, SPAIN;1. Business Systems and Analytics Department, La Salle University, Philadelphia, PA 19141, United States;2. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany;3. Department of Mathematics and Statistics, York University, Toronto M3J 1P3, Canada;4. Polo Tecnologico IISS G. Galilei, Via Cadorna 14, 39100 Bolzano, Italy;5. Departamento de Economía Aplicada II Universidad Complutense de Madrid Campus de Somosaguas, 28223 Pozuelo, Spain;6. Département de Management, Systèmes et Stratégie École Supérieure de Commerce et de Management, 11 rue de l''Ancienne Comédie, 86001 Poitiers, France;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 and Statistics, York University, Toronto M3J 1P3, Canada;4. Polo Tecnologico IISS G. Galilei, Via Cadorna 14, 39100 Bolzano, Italy\n;5. School of Economics and Management, Free University of Bolzano, 39100 Bolzano, Italy;6. Instituto Complutense de Estudios Internacionales, Universidad Complutense de Madrid, Campus de Somosaguas, 28223 Pozuelo, Spain |
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| Abstract: | Data envelopment analysis (DEA) is a non-parametric method for evaluating the relative efficiency of homogenous decision making units (DMUs) with multiple inputs and outputs. In this paper, we present a dynamic multi-stage DEA (DMS-DEA) approach to evaluate the efficiency of cotton production energy consumption. In the proposed model, the farms which consume resources (i.e., fertilizers, seeds, and pesticides) to produce cotton are assumed to be the DMUs. Inputs not consumed during a planning period are carried over to the next period in the planning horizon. Initially, a DMS-DEA model is used to determine the overall efficiency of the DMUs with dynamic inputs. Next, the efficiency score of each DMU is calculated for each time period in the planning horizon. We demonstrate the applicability of the proposed method and exhibit the efficacy of the procedures and algorithms with a real-life case study of energy consumption in the cotton industry. |
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