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Combinatorial model and algorithm involving OD distribution and stochastic user equilibrium assignment

ZHOU Xi zhao (Management School, Shanghai Maritime University, Shanghai 200135, China)  
Because the randomness of transportation information has not been considered in present practical transportation planning ,the accuracy or efficiency of transportation planning is depreciated.In order to overcome this drawback,the combinatorial model simulaneously involving OD distribution of trips in a transportation network and stochastic user equilibrium assignment(SUEA) of trips to routes in each OD pairs was developped on the basis of analysis on random ness in choices of route and destination for a given mode. It was proved that the solution of the combinatorial model was unique and it satisfied Wardropian principle of SUEA and requirement of OD distribution by introducing Langrangian function.Finally,the algorithm of model was given by using the direction hunting method.
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