Pressure swing adsorption system comprising two or more vessels, each having a feed end, a product end, and adsorbent material adapted to adsorb one or more components from a multi-component feed gas mixture; piping adapted to (1) introduce the feed gas mixture into the feed ends, withdraw a product gas from the product ends, and withdraw a waste gas from the feed ends of the vessels, and (2) place the product ends of any pair of vessels in flow communication; a feed pipe adapted to supply the feed gas mixture to the system; a product pipe adapted to withdraw the product gas from the system; and a waste gas pipe adapted to withdraw the waste gas from the system. An indexed rotatable multi-port valve is adapted to place the product end of each vessel in sequential flow communication with the product end of each of the other vessels.