Day-to-Day Network Traffic Flow Evolution Based On Bi-objective

Day to day traffic flow evolution model can simulate travelers' route adjustment behavior,explain the implementation mechanism from microscopic travel behavior to macroscopic flow evolution.Considering that travel time and monetary cost are the two most important route choice decision criteria of travelers.The thesis studies that day-to-day route flow evolution based on bi-objective.Firstly,formulating the relative-proportional-based Bi-objective Route Adjustment Process(re BRAP)based on the linear combination of travel time and monetary cost via value of time.reBRAP has concise mathematical structure and intuitive behavior rule,reBRAP can avoid the over-adjustment and weak robust problems,besides,reBRAP is a bi-criteria rational behavior adjustment process.The stationary link flow patterns of reBRAP,the stationary route flow patterns of reBRAP and bi-criteria user equilibria,which implies a judgement method whether a network traffic flow pattern has reached bi-criteria user equilibrium or not.The continuous day-to-day version of reBRAP is Lyapunov stable.Numerical network is adopted to test the stability of the discrete day-to-day version of reBRAP and analyze that travelers' reluctance parameter and value of time affect the evolution characteristics of route flow.Secondly,designing the bi-objective optimization problem of congestion and emissions under revenue-neutral tradable credit charges and rewards scheme without initial credit allocations(RTI)scheme and studying the route flow evolution of reBRAP model under RTI scheme.RTI scheme can support bi-objective Pareto system optimal traffic flow patterns into user equilibrium states,which provides a solving method for solving RTI scheme.Furthermore,formulating reBRAP model based on RTI(RreBRAP)to model the evolution process of route flow and the number of credit under RTI scheme.Simulation result demonstrates: travelers' reluctance parameter affect the evolution characteristics of route flow and the number of credit.Thirdly,under travel time and monetary cost are independent objectives,establishing the bi-objective rational behavior adjustment process(BRBAP)model,which is a general framework for simulating bi-objective rational travelers' day-to-day route adjustment process.Subsequently,studying the topologies of the set of the stationary flow patterns of BRBAP,i.e.,Boundedness,Convexity,Connectness,and analyzing the relationship between stationary flow patterns of BRBAP and Bi-objective user equilibria.Stationary flow patterns of BRBAP are BUE states,and not vice versa.Furthermore,under appropriate conditions,BUE states are stationary flow patterns of BRBAP.Lastly,formulating Bi-objective relative Proportional-Switch route Adjustment Process(BPSAP)model,verifying that BPSAP belongs to BRBAP,proving that stationary flow patterns of BPSAP are equivalent to BUE states,adopting numerical network to test the discrete day-to-day version of BPSAP.Simulation result demonstrates: road network disturbance will affect the final flow state of route adjustment;moreover,if the final state is stationary,the stationary flow pattern reaches bi-objective user equilibrium state.