The　dynamic　route　choice　problem　is　to　determine　the　best　route　choices　at　each　time.　Many　route-based　optimal　control　models　for　the　route　choice　problem　which　were　presented　are　not　appropriate　for　large　scale　transportation　networks.　A　variational　inequality　formulation　for　the　route　choice　problems　is　presented　and　the　algorithm　of　solution　is　provided.　The　model　extends　previous　variational　inequality　model　for　the　route　choice　problem　to　the　case　where　risk　is　considered.　The　experimental　result　shows　that　the　algorithm　can　find　the　best　dynamic　pricing　schemes.　The　algorithm　runs　fast　and　can　not　be　influenced　by　the　different　distribution　of　risks,　it　could　solve　many　large　scale　dynamic　route　choice　problems.　©　2011　IEEE.