Tra c Mo deling and Variational Inequalities using
GAMS
y z
Steven P Dirkse Michael C Ferris
April
Abstract
We describ e how several tra c assignment and design problems
can b e formulated within the GAMS mo deling language using newly
developed mo deling and interface to ols The fundamental problem is
user equilibrium where multiple drivers comp ete nonco op eratively for
the resources of the tra c network A description of how these mo dels
can b e written as complementarity problems variational inequalities
mathematical programs with equilibrium constraints or sto chastic lin
ear programs is given At least one general purp ose solution technique
for each mo del format is brie y outlined Some observations relating
to particular mo del solutions are drawn