Using stochastic methods and as extension of a prior work over evolution in rail geometric form, the article purpose is to contribute to complete the theoretical planning of the curves rectification problem in a way that would allow to take account of all real circumstances with any degree of complexy, including measuring errors and the modifications of rail geometry, from data collection to the moment of doing its rectification so foregoing patterns are generalized being particular cases of the stochastic program that we are considering.
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