Stochastic network user equilibrium and system evolution with dependence on reference point

Abstract

This paper investigated travelers' reference-dependent route choices and network equilibrium with bounded rationality.A decision-making rule for travelers' route choices was presented on the basis of cumulative prospect theory(CPT).The paper established the equivalence of the CPT-based user equilibrium model and a variational inequality formulation.The model is expected to describe the traffic flow pattern in realistic transportation network.An algorithm was proposed to solve the model.We constructed a numerical example to illustrate the algorithm as well as the model.This research further established a CPT-based dynamic system which incorporated travelers' learning and renewal procedure and dynamic route choices.The proposed system is expected to capture the day-to-day dynamic traffic flows.Another numerical example was constructed to show how the dynamic system evolved to the user equilibrium state.

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