Title: A stochastic data envelopment analysis model using a common set of weights and the ideal point concept
Authors: Madjid Tavana; Sajad Kazemi; Reza Kiani Mavi
Addresses: Business Systems and Analytics Department, La Salle University, Philadelphia, PA 19141, USA; Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany ' Department of Industrial Management, Faculty of Management and Accounting, Islamic Azad University – Qazvin Branch, Qazvin, Iran ' Department of Industrial Management, Faculty of Management and Accounting, Islamic Azad University – Qazvin Branch, Qazvin, Iran
Abstract: The efficiency scores of the decision making units (DMUs) in conventional data envelopment analysis (DEA) are between zero and one and generally several DMUs result in having efficiency scores of one. These models generally only rank the inefficient DMUs and not the efficient ones. In addition, conventional DEA models assume that inputs and outputs are measured precisely on a ratio scale. However, the observed values of the input and output data in real-life problems are often imprecise. In this paper, we propose a common set of weights (CSW) model for ranking the DMUs with the stochastic data and the ideal point concept. The proposed method minimises the distance between the evaluated DMUs and the ideal DMU. We also present a numerical example to demonstrate the applicability of the proposed model and exhibit the efficacy of the procedures.
Keywords: data envelopment analysis; DEA; stochastic modelling; common set of weights; CSWs; ideal point; decision making units; DMUs; DMU efficiency; DMU ranking.
International Journal of Applied Management Science, 2015 Vol.7 No.2, pp.81 - 92
Received: 08 May 2021
Accepted: 12 May 2021
Published online: 06 May 2015 *