There has been a sharp raise in application of cyclic adsorption processes in last decades. This increase has been mainly due to economic and purity advantages of these processes. One class of cyclic process is pressure swing adsorption(PSA), with high selectivity, high throughput, and high efficiency. Consequently more and more PSA systems are in operation in gas separation processes of chemical industry. In PSA processes, adsorbent selectively adsorbs the adsorbate molecules from a gas mixture and then desorbs that part by pressure reduction. These processes are in constant development and by addition of new steps,their performance are in raise. One of such steps, is the pressure equalization step which improves the unit’s efficiency. A small scale application of pressure swing adsorption is employed to provide oxygen enriched air for the crew of an aircraft. This kind of system is preffered over bottled oxygen because it is safer and it does not place a limitation on flight time. In this study after modelling and simulation of a pressure swing adsorption system and validating the results, skarstrom cycle and skarstrom cycle with pressure equalization step, for production of high purity oxygen, were analyzed and the influence of different parameters on process performance were studied. Then the aircraft oxygen production system was analyzed, and by adding new boundary conditions specific to this process, model was validated. By the application of dimensionless parameters, the influence of these parameters was also studied. By the application of successive quadratic programming, which is one of the best tools for solving numerical optimization problems, the dimensionless parameters were optimized . This resulted in a way to optimize a unique small scale oxygen generation system with specific boundary conditions which is ready to design and fabrication.