As there are two constraints in the design of an optimal system via data envelopment analysis (OSDviaDEA) models, a maximum of two responses are determined for prioritizing optimal budgeting allocations. While for the organization administrators, determining the budget in an optimal way for each individual making unit (DMU) is considered an important issue. Likewise, determining the optimal budget of the entirety of an organization, the wasted budget and /or budget deficit are decisively important issues to the managers. Thus, due to the fact that the OSD DEA models can merely decide on two optimal conditions for the organizational DMUs, they do not have the necessary efficiency in this regard. The present research paper sets out to introduce an extended OSD DEA to resolve some of the shortcomings of the former models. Moreover, the effects of adding a new DMU in prioritizing optimal budgeting of the units through extended OSD DEA are explored. And in continuation, drawing upon the sensitivity analysis procedure on LP problem, a novel method is presented which helps to prevent solving the problem for a second time. The final part is dedicated to providing numerical examples for explaining the proposed method.
