A Method of Founding the Multi - objective Dynamic Programming Model of Railway Building by Stages

In this paper, the question of new railway's building by stages is discussed. First, it gives the method of founding the multi - objective dynamic programming model of railway building by stages for a two -stage railway. Then, on the basis of the model for a two- stage railway, the model for a railway of more than two stages is set up. Next the three objectives, the conversion transport quantity, time limit for a stage and investment cost, is investigated further. The multi - objective dynamic programming model of railway building by stages can solve the decision question of investment by stages and operation by stages of a new railway dynamically. The scientific order of the new railway's different stages can be obtained by the model. Last, the validity of the method is tested and verified by an example.