Abstract-Transportation is one the most important pillars of economic growth and development. However, due to geographical and economical conditions, flexibility of road transportation and presence of sufficient infrastructures, the road transportation is one of critical importance in Australia. Vehicles are one part of road transportation and hence, evaluating the capacity of road transportation system or vehicles is very crucial in transportation programming. In the current research, a model is presented for determining the demand to different types of vehicles in various states of Australia. Since a multi-criterion capacity evaluating program has been considered, the idealistic programming method is used in modeling. Due to the nature of the problem, zero and one variables are introduced to the model which, in turn, caused to transform the model to a non-linear complex rational number programming problem. As solving such types of problems is difficult, especially for large values, an innovative method, regarding the structure of the problem, is presented to transform the non-linear problem to a linear one. Moreover, this study is performed for various conditions such as increase of container transportation.