The novel, dual evaporator type three-bed adsorption chiller was proposed for the enhancement of the performance of adsorption chillers. The chiller is equipped with two evaporators, three adsorbent beds, and a condenser. The evaporators work at different pressure levels, which enhances the working range of the adsorbate concentration. It was predicted that the specific cooling capacity and the coefficient of performance of the dual evaporator type three-bed adsorption chiller enhanced by 50% and by 70%, respectively, compared with the conventional, two-bed single-stage adsorption chiller at the same operating conditions. The aim of the study was to further increase the specific cooling capacity of the dual evaporator type three-bed adsorption chiller by the optimization of the operating conditions. It is known that the cooling capacity of adsorption chillers can be maximized by the optimal cycle time. In the study, the particle swarm optimization was applied to the simulation of the dual evaporator type three-bed adsorption chiller and the optimal cycle time of the chiller was found. The results showed that the performance improvement by the optimization was significant in the case of driving heat source temperature under 75°C.