A New Goal programming approach for cross efficiency evaluation

Cross efficiency evaluation was developed as an extension of DEA. But the traditional DEA models usually have alternative optimal solutions and, as a result, cross efficiency scores may not be unique. It is recommended that without changing the DEA efficiency scores, the secondary goal should be introduced for optimization of the inputs/outputs weights.  Several reports evaluated the performance ranking of DMUs by optimizing the rank position. These reports used ILP models for computation appropriate weights in cross efficiency evaluation. However, the LP models are easier and more applicable than ILP models. The present work proposes a goal programming model (LP model) that could be used as a secondary goal to choose suitable weights in cross efficiency evaluation. Also, the Numerical examples are provided to illustrate the approach.