The Multiplier Model with Stochastic Data

Data Envelopment Analysis (DEA) is a technique based on mathematical programming for evaluating the efficiency of homogeneous Decision Making Units (DMUs). In this technique inefficient DMUs are projected on to the frontier which is constructed by the best performers. In this paper, the concept of chance constrained programming approaches is used to develop the multiplier model in stochastic data envelopment analysis, and its deterministic equivalent which is a nonlinear program is derived. Moreover, it is shown that the deterministic equivalent of the stochastic multiplier model can be converted to a quadratic program. The concept discussed throughout this paper is illustrated using the aforementioned example.

کلیدواژه ها:

Data envelopment analysis ، Normal distribution ، Quadratic programming ، Relative efficiency