Integrated-Equilibrium Routing of Traffic Flows with Congestion

The routing of traffic flows is an important mechanism to alleviate traffic congestion. However, it faces a dilemma. For the traffic manager, it is desirable to achieve system optimum, which may discriminate against some users, and yet the user wishes to use the shortest route to maximize his/her utility, which may result in inferior system performance. Based on the conflict between the "system" and the "users", the game theory is used to study the traffic routing problem in this paper. After shortage of the traditional routing model had been analyzed, a new concept called satisfactory degree is introduced. An integrated-equilibrium model based on double-objective optimization and corresponding algorithm are respectively proposed. At last, an example is conducted to illustrate that traffic flows are guided more efficiently and rationally using the integrated-equilibrium model.