resource allocation model based on saving energy using dea models

In many daily problems, it may be possible that all of the decision making units (dmu) are in organizations with a centralized decision maker (cdm), who supervises all the units. some researchers presented resource allocation models as a multiple-objective linear programming (molp), so that paying more attention to energy saving and environmental pollution reduction. in order to allocate resources reasonably, researchers consider the input reduction, desirable output reduction and undesirable output reduction. their models consider boundaries for desirable and undesirable outputs changes, which are selected by dm. in this paper we express the problems of their model and modify the model by goal programming in such a way that it becomes feasible.