The present invention is directed to an intensified process cycle that utilizes the adsorption beds present to a substantially greater degree allowing the processing of significantly more gas and/or the generation of significantly more product. The elimination of purge steps, reduction in equalization step times, and introduction of overlapping feed and equalization steps which normally cause a degradation in performance for equilibrium-based cycles, frees extra step for other actions to be taken, such as additional equalization steps, etc.