A Coarse-To-Fine Approach to the Railway Rolling Stock Rotation Problem
Please always quote using this URN: urn:nbn:de:0297-zib-51009
- We propose a new coarse-to-fine approach to solve certain linear programs by column generation. The problems that we address contain layers corresponding to different levels of detail, i.e., coarse layers as well as fine layers. These layers are utilized to design efficient pricing rules. In a nutshell, the method shifts the pricing of a fine linear program to a coarse counterpart. In this way, major decisions are taken in the coarse layer, while minor details are tackled within the fine layer. We elucidate our methodology by an application to a complex railway rolling stock rotation problem. We provide comprehensive computational results that demonstrate the benefit of this new technique for the solution of large scale problems.
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| Author: | Ralf BorndörferORCiD, Markus Reuther, Thomas Schlechte |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | coarse-to-fine approach; column generation; multi-layer approach; rolling stock rotation problem |
| MSC-Classification: | 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING |
| CCS-Classification: | G. Mathematics of Computing |
| Date of first Publication: | 2014/09/07 |
| Series (Serial Number): | ZIB-Report (14-26) |
| ISSN: | 1438-0064 |
| Licence (German): |  Creative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung |
