Competitive evaluation based on integer-valued DEA model with different constraint sets

To discuss the integer-valued DEA (data envelopment analysis) model, different nations' values different medals in different ways and the targets for the inefficient nations should be integer-valued in evaluating the performance of participating nations in the competition. It makes some adjustment to the model which considers different constraint sets to make the efficiency score of each nation lie between zero and unity. And it proposes the radial-based integer-valued DEA model (the RDI model) to obtain the integer-valued targets for the inefficient nations. Based on these, it presents an integer-valued DEA model with different constraint sets (the RDID model) to evaluate the participating nations at the competition. In addition, comparisons are made among the RDID model, the integer-valued DEA model with the same constraint set (the RDIS model) and the BCC model. The results demonstrated the feasibility and justice of the RDID model. Based on the above findings, it is concluded that the model can also be used to evaluate some similar problems in an instructive way. © 2017 Institute of Thermomechanics CAS, v.v.i.