Document Type : Original Article


Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.


Classic Data Envelopment Analysis methods ignore the internal interactions and consider the systems as a ‘black box’. Most of the network analysis models are nonlinear and it is feasible that these point may cause a considerable amount of modification to occur in the efficiency results. Amidst which, models, such as, the Wang Model, takes the intermediate variables into account, but in order to prevent intricacies in resolving models, it has an inconclusive approach, between two outlooks, of the black box and the network. Hence, in this paper, we consider a three-stage network with additional, desirable and undesirable inputs and outputs and the three abovementioned approaches are analyzed by contemplating on the optimistic and pessimistic views. The goals of this paper are to put together the results of the three mentioned approaches in order to attain the final conclusions. We generalize and use of Wang’s approach for the three levels, with additional inputs and outputs, as well as a heuristic solution to solve the network’s view. Finally, this paper considers a genuine world example, in the form of a dynamic network, for model application and analyzes it from three perspectives.


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