Bilevel programming model for the reliability of public transportation system

By introducing the pseudograph model and the reliability index matrix of public transportation system, a bilevel programming model for the reliability of public transportation system is established, in which the objective function of the upper level model is to minimize the total investment and make the network to be system optimization at the same time and the lower level model is a standard network equilibrium model satisfying WORDROP's first equilibrium rule. The solution algorithm for this model is also discussed in this paper.