Stochastic user equilibrium assignment model of multimodal composite urban transportation network with elastic demand
Qipeng Yan
Abstract
Qipeng Yan
Abstract
To solve the traffic distribution model was limited to some traffic mode inside and lack of consideration influence between traffic mode choice and traffic distribution,this paper described the multimodal composite urban transportation network.Network covered the buses and cars two subsystem.Total travel quantity was met demand elasticity.And according to two subsystem utility function to a stochastic user equilibrium assignment.The traffic flow split of subsystem route also satisfied stochastic user equilibrium assignment,so that it presented the model of two levels and three stochastic user equilibrium assignment of multimodal composite urban transportation network with elastic demand,it proved the equivalent and uniqueness of model.It provided an iterative algorithm based on diagonalization and MSA for the solution of this model.Finally it gave a simple numeral example.The calculation results are: bus travel quantity is 814.1 people/hour,20.36% of the total amount travel 3997.8 people/hours,the car travel is 79.64%.Results indicates that the model in the calculation of the amount of link network flow rate distribution in the foundation also can draw the proportion of the mode of transportation structure.
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To solve the traffic distribution model was limited to some traffic mode inside and lack of consideration influence between traffic mode choice and traffic distribution,this paper described the multimodal composite urban transportation network.Network covered the buses and cars two subsystem.Total travel quantity was met demand elasticity.And according to two subsystem utility function to a stochastic user equilibrium assignment.The traffic flow split of subsystem route also satisfied stochastic user equilibrium assignment,so that it presented the model of two levels and three stochastic user equilibrium assignment of multimodal composite urban transportation network with elastic demand,it proved the equivalent and uniqueness of model.It provided an iterative algorithm based on diagonalization and MSA for the solution of this model.Finally it gave a simple numeral example.The calculation results are: bus travel quantity is 814.1 people/hour,20.36% of the total amount travel 3997.8 people/hours,the car travel is 79.64%.Results indicates that the model in the calculation of the amount of link network flow rate distribution in the foundation also can draw the proportion of the mode of transportation structure.
Key concepts: Computer science, Flow network, Price elasticity of demand, Uniqueness, Mode (computer interface), Traffic flow (computer networking), Mathematical optimization, Simulation