Determining an equitable allocation of new input and output using data envelopment analysis

In this paper, we consider the problem of demanding fixed aggregated output from producers for an equitable allocating of new input. In many applications, there is often a fixed input and output which are imposed on all decision making units. In such situations, the choice of an allocation pattern often seems to be rather subjective. This paper, presents a method for obtaining an equitable allocation and demand of these new input and output which is based on two principals: invariance and Pareto-minimality.