復元波形を用いた鉄道線路の狂いの補修の数理と最適化  [in Japanese] Mathematical Analysis and Optimization for Repairing Railway Track Irregularities Using Restored Waveforms  [in Japanese]

A new method of repairing railway track irregularities is described. A waveform of track irregularity restored partially at the specified region of wavelength from the socalled 3-point chord measurement data is used in the repair work. A new method is successfully applied to the repair work of a track irregularity in longitudinal level in which only a lifting operation can be allowed.Then by introducing a criterion of evaluating a smoothness of track geometry the repairing problem is formulated to the well-known quadratic programming problem in optimization theory.