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 CO 2 emissions are reduced by 22.5 and 30.4% compared with the conventional PSD process.