Formulation of simultaneous car and public transport network equilibrium in the form of mixed complementarity problem in the context of bi-level programming

This paper presents a new formulation of simultaneous network equilibrium for car and for public transport in the form of single Mixed Complementarity Problem. This formulation makes it possible to implement network equilibrium without use of special transport packages as well as to incorporate it into the bi-level programming framework, with the help of which one may evaluate welfare benefits of large number of infrastructure project combinations during reasonable amounts of time and allocate network investments in the most efficient way. The paper also traces relationship between functional form of social welfare measure and ordering of infrastructure project combinations using Oslo/Akershus case-studio.