Analysis of Micro–Macro Transformations of Railway Networks

Marco Blanco () and Thomas Schlechte ()
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Marco Blanco: Zuse Institute Berlin
Thomas Schlechte: Zuse Institute Berlin

A chapter in Operations Research Proceedings 2013, 2014, pp 37-42 from Springer

Abstract: Abstract A common technique in the solution of large or complex optimization problems is the use of micro–macro transformations. In this paper, we carry out a theoretical analysis of such transformations for the track allocation problem in railway networks. We prove that the cumulative rounding technique of Schlechte et al. satisfies two of three natural optimality criteria and that this performance cannot be improved. We also show that under extreme circumstances, this technique can perform inconveniently by underestimating the global optimal value.

Keywords: Railway Network; Cumulative Rounding; Rounding Scheme; Microscopic Solution; Minimum Time Horizon (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-07001-8_6

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DOI: 10.1007/978-3-319-07001-8_6

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