an optimal budgeting model for dynamicnetwork systems design via data envelopmentanalysis

For an optimal system design (osd), data envelopment analysis (dea) treats companies as black boxes disregarding their internal processes. including the effects of these processes into companies, internal mechanisms promote optimal budgeting allocation. the internal processes can be defined as series and parallel networks or a combination of them. in the literature, dea is utilized as a way for osd in order to determine the optimal budget for companys activities in a system of series network production; but it is not yet provided a method for the optimal budgeting of dynamic systems. to fill this gap, a new model is presented in this paper to evaluate a company’s optimal budgeting having dynamic network system and allocates the optimal budget to each of the internal processes of the decision making units (dmus), based on the efficiency of internal processes.the advantages of this model (which can be regarded as the first accomplishment) are expounded through the research body. within the framework of the dynamic network systems, the optimal budgeting, the budget deficit and the budget congestion along with superior features of the proposed model are also investigated for dynamic systems. we have also used some theorems to theoretically examine the feasibility of the model. two study cases on which the suggested model is implemented are further presented. in one application, the osd network of a business entity with 5 dmus is addressed; while in the other, a business venture with 24 dmus is analyzed.