THE EXISTENCE OF EQUILIBRIUM FLOWTS IN MULTI-OBJECTIVE TRAFFIC NETWORK PROBLEMS

Abstract

The purpose of this paper is to study the existence of solutions for multi-objective traffic network equilibrium problems with elastic demands. By using methods related to scalarization techniques, we analyze the problem and give a existence result for weak effective and effective equilibrium flows. The obtained result is established based on assumptions of closedness and generalized quasimonotonicity, without using assumptions related to convexity or generalized convexity. Furthermore, the assumptions in this result are quite simple and easy to check. Some examples are also provided to illustrate and to show the advantages of this result when applied to specific situations.