Nonlinear arash model in DEA

Abstract: This study illustrates the nonlinear Arash Model (AM) in Data Envelopment Analysis (DEA) to distinguish between technical efficient DMUs and arrange both technical efficient and inefficient DMUs at the same time. It demonstrates how the proposed model it is able to eliminate the computational complexity of using most super-efficiency with selecting the variety of weights and scale. The nonlinear AM optimizes the efficiency score of linear AM, too. Some related propositions to the proposed model are proved which are also examined with a numerical example. The results clearly depict the differences between nonlinear and linear Arash Model and introduce the nonlinear AM as a valuable model in DEA. Keywords: Arash method, data envelopment analysis, efficiency, technical efficiency INTRODUCTION In the last three decades Data Envelopment Analysis (DEA) which is a nonparametric method in operations research has rapidly applied in many branches of sciences to measure the efficiency of firms or Decision Making Units (DMUs). DEA estimates the performance evaluation of homogenous DMUs with multiple inputs and multiple outputs. It was proposed by Charnes .