Speed distribution model, expectation speed of the system and aggregation behaviour for traffic congestion

Abstract

AbstractThis research presents a distribution model using queuing theory for traffic congestion that can be used to analyse the concrete dynamics of the expectation speed of a system, which consists of two paths, and finds that the expectation speed is a quadratic function for increment (quantities of optimistic drivers) per unit time without assuming the full rationality of choice behaviour; focusing on the conclusions of certain practical significance, a potential function and a jump Markov chain can be used to describe how the degree of uncertain parameters affects drivers' aggregated behaviour.