One　of　the　core　features　of　Intelligent　Edge　Computing　(IEC)　is　real-time　decision　making,　therefore　low　delay　is　more　important　for　IC　design　under　IEC　architecture.　And　in　very　large　scale　integration　routing,　wirelength　is　one　of　the　most　important　indexes　affecting　the　final　delay　of　the　IC　design.　Therefore,　this　paper　introduces　the　X-routing　with　more　potential　for　wirelength　optimization　and　the　Steiner　Minimum　Tree　(SMT),　which　is　the　best　routing　model　in　multi-terminal　nets.　Then,　based　on　Particle　Swarm　Optimization　(PSO)　technique　which　has　the　strong　global　optimization　ability　in　Soft　Computing,　an　effective　Two-Stage　X-routing　Steiner　minimum　tree　construction　algorithm　is　proposed.　The　proposed　algorithm　is　divided　into　two　stages:　social　learning　discrete　PSO　searching　and　wirelength　reduction.　In　the　first　stage,　two　excellent　strategies　are　proposed　to　maintain　a　good　balance　between　exploration　and　exploitation　capabilities　of　the　PSO　technique:　(1)　Chaotic　decreasing　inertia　weight　combined　with　mutation　operator　is　set　to　enhance　the　exploration　capability.　(2)　A　new　social　learning　approach　combined　with　crossover　operator　is　designed　to　ensure　the　diverse　evolution　of　the　swarm　while　maintaining　the　exploitation　capability.　In　the　second　stage,　a　strategy　based　on　local　topology　optimization　is　proposed　to　further　reduce　the　length　of　X-routing　Steiner　tree.　Experiments　show　that　the　proposed　algorithm　can　achieve　the　best　wirelength　optimization　and　has　a　strong　stability,　especially　for　large-scale　SMT　problem,　so　as　to　better　satisfy　the　demand　of　low　delay　of　IC　design　under　IEC　architecture.　(c)　2021　Elsevier　B.V.　All　rights　reserved.