A self-inflating tire assembly comprising a tire having a tire cavity, first and second sidewalls extending respectively from first and second tire bead regions to a tire tread region and further comprising: (i) a first air tube defining an air passageway, the first air tube being composed of a flexible material operative to allow a portion of the air tube segment near a tire footprint to close the passageway, the first air tube having an inlet and an outlet; a second air tube defining an air passageway, the second air tube being composed of a flexible material operative to allow a portion of the air tube segment near a tire footprint to close the passageway, the second air tube having an inlet and an outlet; wherein the inlet of the first air tube is in fluid communication with the inlet of the second air tube; and wherein the outlet of the first air tube and the second air tube is in fluid communication with the tire cavity; or (ii) a first air passageway integrally formed in the tire, the first air passageway being operative to allow a portion of the first air passageway near a tire footprint to open and close, the first air passageway having an inlet and an outlet; a second air passageway integrally formed in the tire, the second air passageway being operative to allow a portion of the second air passageway near a tire footprint to open and close, the second air passageway having an inlet and an outlet; wherein the inlet of the first air passageway is in fluid communication with the inlet of the second air passageway; and wherein the outlet of the first air passageway and the second air passageway is in fluid communication with the tire cavity; wherein the inlet of the first air tube or the first air passageway is connected to the inlet of the second air tube or the second air tube passageway by an inlet device; wherein the inlet device is a T shaped body having a first port connected to the inlet end (41 a) of the first air tube or the first air passageway and a second port connected to an inlet end of the second air tube or the second air passageway, wherein the first port and the second port are joined together by a passageway, wherein the T shaped body further comprises a third port in fluid communication with the outside air and wherein the third port is joined to the passageway; characterized in that a one way valve is positioned in the third port between the passageway and the outside air inlet. (i) a first air tube defining an air passageway, the first air tube being composed of a flexible material operative to allow a portion of the air tube segment near a tire footprint to close the passageway, the first air tube having an inlet and an outlet; a second air tube defining an air passageway, the second air tube being composed of a flexible material operative to allow a portion of the air tube segment near a tire footprint to close the passageway, the second air tube having an inlet and an outlet; wherein the inlet of the first air tube is in fluid communication with the inlet of the second air tube; and wherein the outlet of the first air tube and the second air tube is in fluid communication with the tire cavity; or a second air tube defining an air passageway, the second air tube being composed of a flexible material operative to allow a portion of the air tube segment near a tire footprint to close the passageway, the second air tube having an inlet and an outlet; wherein the inlet of the first air tube is in fluid communication with the inlet of the second air tube; and wherein the outlet of the first air tube and the second air tube is in fluid communication with the tire cavity; or (ii) a first air passageway integrally formed in the tire, the first air passageway being operative to allow a portion of the first air passageway near a tire footprint to open and close, the first air passageway having an inlet and an outlet; a second air passageway integrally formed in the tire, the second air passageway being operative to allow a portion of the second air passageway near a tire footprint to open and close, the second air passageway having an inlet and an outlet; wherein the inlet of the first air passageway is in fluid communication with the inlet of the second air passageway; and wherein the outlet of the first air passageway and the second air passageway is in fluid communication with the tire cavity; a second air passageway integrally formed in the tire, the second air passageway being operative to allow a portion of the second air passageway near a tire footprint to open and close, the second air passageway having an inlet and an outlet; wherein the inlet of the first air passageway is in fluid communication with the inlet of the second air passageway; and wherein the outlet of the first air passageway and the second air passageway is in fluid communication with the tire cavity;