Apparatus for managing bandwidth for a plurality of connections each having a respective connection token, the apparatus having corresponding methods and computer-readable media, comprises a memory to store the connection tokens, the memory comprising a ready connection queue, a pending increase connection queue, and an increase connection queue; and a controller to move connection tokens in the ready connection queue to the pending increase connection queue when bandwidth for the respective connections should be increased; wherein the controller moves connection tokens in the pending increase connection queue to the increase connection queue, and increases bandwidth for the respective connections, when a number of the connection tokens in the increase connection queue is less than a predetermined maximum number; and wherein the controller moves connection tokens in the increase connection queue to the ready connection queue when bandwidth for the respective connections should be decreased.