The paper selects the economy,rapidity and convenience as evaluation index,sets up a generalized cost function and decides the model parameters by using maximum likelihood method.

In this paper, the concepts of equity objective and generalized cost function on analysis of urban traffic network are introduced; a generalized user equilibrium(GUE) assignment model and a generalized system optimization(GSO) assignment model under environmental are established.

At last the generalized avail function is put forward to evaluate the transfer of urban rail transit hub.

Urban road- side parking planning model based on minimum generalized cost;

Multi-user highway network equilibrium model based on generalized cost

Multi-modal UE assignment model based on the generalized cost

The duality property of several kinds of generalized functions;

This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.

First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.

The theoretical proof is based on the theory of Schwartz generalized functions.

Utilizing perturbation method, stochastic equations are changed to be a series of deterministic equations, In the meantime stochastic boundary conditions become deterministic boundary conditions considering characters of generalized functions.

On the basis of the classical valuation method of generalized functions, the set value of a generalized function has been defined by the equivalent value mode and the uniform convergence method.