Budget-excess User Equilibrium Model Under Uncertain Supply and Uncertain Demand

In order to reflect travelers' risk aversive route choice behaviors in a more accurate and complete manner in a stochastic road network,a traffic assignment model that simultaneously considers reliability and unreliability of supply and demand was proposed,which was also named as budget-excess user equilibrium model.Analytical expression of budget-excess travel time in the case of traffic capacity followed Gamma distribution and link capacity followed uniform distribution was derived on the basis of it,the equilibrium model formulated as an equivalent variational inequality problem was founded.A small test network was provided to compare the properties of user equilibrium model,reliability-based user equilibrium model and budget-excess user equilibrium model.The results show that the proposed model is valid and feasible,whose equilibrium flow pattern is different from user equilibrium model and reliability-based user equilibrium model.With the increase in the demand level,reliability level and degradation degree of link capacity,the budget-excess travel time will accordingly become greater.