Board of Reviewers
1. Environmental Protection
2. Water Engineering
3. Sustainable Urban Development
4. Roads and Railways
5. Technologies of Geodesy and Cadastre
6. Energy for Buildings
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eISSN 2029-7092 online
eISBN 978-609-457-640-9
ISBN 978-609-457-690-4 CD
Technologies of Geodesy and Cadastre

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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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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