Making Index for the intercity transportation network based on the modeling and preparation of mathematical method

The necessary condition but not the enough one in order to enhance productivity and optimizing the operation of the transportation network lines is to give a proper index to any of these routes. The common lines of the distinct routes, therefore, would give more complexity and importance to the matter. So, through modeling and using the mathematical method based on the preparation of software we have tried to solve the problem. First, the routes of the journeys between all origins and destinations on the network concerning they sometimes had no specific and constant moving plan were identified. The number of journey demands between them were processed by this software in which for any route and number of journeys a quantitative figure between zero and one with the name of index was calculated. The more the index is closer to the number one, the more valuable the activity of the route will be. In this way the capacity of the routes must be regarded as independent variables. It is notable that by using this mathematical method it would be possible to predict the critical situations; that is, with an omission of one or more routes from the network we can calculate the traffic load imposed on the other routes as well as their respective index variations. The evaluations of the said indices are the basic tools for the safety and traffic management as well as the analysis of the system capacity and transportation planning.