Dynamic Equilibrium Traffic Assignment Problem and its Steady State-Costate Solution Algorithm
动态平衡运量配流问题及其稳态伴随解算法

The modelling and solving of dynamic epuilibrium traffic assignment problem isa theoretical basis to develop the intelligent Vehicle Highway Systems (IVHS). Inthis paper, a continuous time optimal control model for the multi-starting point andsingle-destination network, is formulated and its optimality conditions are proved tobe equivalent to the dynamic user equilibrium principle. To avoid solving the complicated two-point boundary-value problem, a steady state-costate solution algorithmis proposed that generates an approximate solution to the network optimal controlproblem. This algorithm could make the full use of the advantages of the trafficand computer network structure, and would be computationally efficient for largenetworks. The test results on an example network is reported to demonstrate theperformance of this algorithm.