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Marta Skala-Szymanska, Slawomir Cellmer, Jacek Rapinski
Use of Nelder-Mead simplex method to arc fitting for railway track realignment
| Conference Information: |
9th International Conference “Environmental Engineering”, 22–23 May 2014, Vilnius, LITHUANIA |
| Source: |
ICEE-2014 - International Conference on Environmental
Engineering |
| Book Series: |
International Conference on Environmental Engineering
(ICEE) Selected papers |
| ISSN: |
eISSN 2029-7092 online |
| ISBN: |
eISBN 978-609-457-640-9 |
| ISBN: |
ISBN 978-609-457-690-4 CD |
| Year: |
2014 |
| Publisher: |
Vilnius Gediminas Technical University Press Technika |
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Abstract
The development of technology implies the elaboration of new calculation methods.
Such methods should be precise and efficient. The article presents a new method
of railway track realignment. The example considered in the article consists
of a circular arc that is tangent to two straight lines. Authors show subsequent
stages of realization of tasks of railway track realignment. Each formula
is described in this paper. The novelty of this solution is use of the
Nelder-Mead simplex method for fitting section of railway track geometry
into set of measure points. The functional model of optimization problem
was derived and discussed in details. The method of optimization problem
was presented in the form of detailed algorithm. The example of use of
proposed algorithm was presented and analysed.
Keywords: optimize; Nelder-Mead simplex method; railway track realignment.
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