1999 Volume 40 Issue 2 Pages 117-122
We have developed a new theory for correcting track irregularities by applying their restored waveforms and carried out experimental levelling and lining work. In this theory, the optimum shifting/lifting values are obtained as solutions for a typical quadratic programming problem. Restrictions on shifting rails are formulated as constraint conditions of the optimization problem. Furthermore, in the case of levelling work, a designed cross level can be realized. From experimental work on ballasted and slab track, the effectiveness of this theory has been confirmed. In the range of long wavelengths up to 50 m, the amplitude of track irregularity has decreased.