This problem only arises in pairs events obviously, but it can be dealt with much the same way as in the Mitchell movement. The extra pair can be treated as an extra table so that all the E W pairs will have one bye round at that table.
Where this extra table makes the numbers even this method is not particularly good as one E-W pair would be required to sit out twice; if the movement is curtailed early, then some pairs will not have sat out. The rover pair is the best solution to this problem.
