Ordered　Escape　Routing　(OER)　problem,　which　is　an　NP-hard　problem,　is　critical　in　PCB　design.　Primary　methods　based　on　integer　linear　programming　(ILP)　or　heuristic　algorithms　work　well　on　small-scale　PCBs　with　fewer　pins.　However,　when　dealing　with　large-scale　instances,　the　performance　of　ILP　strategies　suffers　dramatically　as　the　number　of　variables　increases　due　to　time-consuming　preprocessing.　As　for　heuristic　algorithms,　ripping-up　and　rerouting　is　adopted　to　increase　resource　utilization,　which　frequently　causes　time　violation.　In　this　paper,　we　propose　an　efficient　ILP-based　routing　engine　for　dense　PCB　to　simultaneously　minimize　wiring　length　and　runtime,　considering　the　specific　routing　constraints.　By　weighting　the　length,　we　first　model　the　OER　problem　as　a　special　network　flow　problem.　Then　we　separate　the　non-crossing　constraint　from　typical　ILP　modeling　to　reduce　the　number　of　integral　variables　greatly.　In　addition,　considering　the　congestion　of　routing　resources,　the　ILP　method　is　proposed　to　detect　congestion.　Finally,　unlike　the　traditional　schemes　that　deal　with　negotiated　congestion,　our　approach　works　by　reducing　the　local　area　capacity　and　then　allowing　the　global　automatic　optimization　of　congestion.　Compared　with　the　state-of-the-art　work,　experimental　results　show　that　our　algorithm　can　solve　cases　in　larger　scale　in　high　routing　quality　of　less　length　and　reduce　routing　time　by　76%.　©　2023　Copyright　held　by　the　owner/author(s).