On the existence of efficient solutions to vector optimization problem of traffic flow on network

Abstract

We studied traffic flow models in vector-valued optimization statement where the flow is controlled at the nodes of network. We considered the case when an objective mapping possesses a weakened property of upper semicontinuity and made no assumptions on the interior of the ordering cone. The sufficient conditions for the existence of efficient controls of the traffic problems are derived. The existence of efficient solutions of vector optimization problem for traffic flow on network are also proved.

Keywords

• транспортний потік па мережі
• гідродинамічна модель
• векторна оптимізація па мережі
• існування ефективних розв’язків