A general Approach to find Non-Zero Multiplier Weights in DEA
Subject Areas : International Journal of Data Envelopment AnalysisF. Moradi 1 , S. Shahghobadi 2
1 - Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.
2 - Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
Keywords: Cross-efficiency. , Data Envelopment Analysis, Maximal element,
Abstract :
Data Envelopment Analysis (DEA) models can be stated as two mutually dual linear programs referred to as the envelopment and multiplier models. The multiplier models are stated in terms of variable input and output weights (multipliers). Zero multiplier weight for an input or output causes efficient problems in multiplier model. This paper concentrates on a previously proposed DEA model developed by Wang and Chin (2010) and later improved by Wang et al. (2011) to find non-zero multi-plier weights. We will show that these models reveal shortcoming for certain classes of DMUs. In addition, we propose a general developed model to find a maximal element for a multiplier DEA model.
[1] Thanassoulis, E., Portela, M.C. & Despic, O. (2008). Data envelopment analysis: the mathematical programming approach to efficiency analysis. The measurement of productive e ciency and productivity growth, 251-420.
[2] Podinovski, V.V. (2016). Optimal weights in DEA models with weight restrictions. European Journal of Operational Research, 254(3), 916-924.
[3] Cooper, W.W., Seiford, L.M. & Tone, K. (2007). Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver Software. Second editions. Springer, ISBN, 387452818, 490.