A　systematic　procedure　is　proposed　for　the　design　of　a　pressure-swing　distillation　(PSD)　process　for　a　ternary　mixture.　This　procedure　involves　thermodynamic　insight,　global　optimization,　and　heat　integration.　The　aim　of　thermodynamic　insight　is　to　analyze　the　process　feasibility　and　find　all　of　the　possible　separation　sequences　via　residue　curve　maps　and　the　distillation　boundaries.　The　global　optimization　for　a　total　of　16　variables　in　three　columns　is　conducted　by　multiobjective　genetic　algorithm　(MOGA)　with　economy　and　environmental　impact　as　objectives.　In　heat　integration,　a　four-step　heat　integration　MOGA　method　was　first　proposed　to　optimize　the　heat-integrated　PSD　process　and　the　optimally　integrated　heat　duty　was　achieved.　The　separation　of　a　methanol/tetrahydrofuran/water　ternary　mixture　is　employed　to　elucidate　the　effectiveness　of　the　proposed　procedure.　An　energy-saving　heat-integrated　PSD　process　is　obtained,　and　the　total　annual　cost　and　CO2　emissions　are　reduced　by　22.5　and　30.4%　compared　with　the　conventional　PSD　process.