A complementary formulation for traffic equilibrium problem with a new nonadditive route cost

Abstract

Improving transportation system is essential for all people in each city since transport plays a very important role. Using mathematical programming approach transport problem is an effective way to improve transportation system. In this paper, the traffic equilibrium problem (TEP) with a general nonadditive route cost function is studied. We formulate the route cost function for each route as a disutility function, which can evaluate route cost function flexibly and analyze the route toll conveniently. Furthermore, we present the TEP with a nonlinear complementary problem (NCP) formulation. The monotonicity and the existence with the NCP formulation are also given under relative assumptions.