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Integrating Line Planning, Timetabling, Passenger Routing and Vehicle Scheduling

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 160))

Abstract

In this chapter, we integrate line planning, timetabling, passenger routing, and vehicle scheduling, using the results of Chapters 2, 3, and 4. We present an optimization model as well as some computational results and analyze its structure in regard to computational performance.

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References

  1. M. Bergner, A. Caprara, A. Ceselli, F. Furini, M. Lübbecke, E. Malaguti, E. Traversi, Automatic Dantzig–Wolfe reformulation of mixed integer programs. Math. Program. 149(1-2), 391–424 (2015)

    Article  MathSciNet  Google Scholar 

  2. G. Desaulniers, J. Desrosiers, M. Solomon (eds.), Column Generation, vol. 5 (Springer, 2005)

    Google Scholar 

  3. G. Dantzig, P. Wolfe, Decomposition principle for linear programs. Oper. Res. 8(1), 101–111 (1960)

    Article  Google Scholar 

  4. A. Gleixner, L. Eifler, T. Gally, G. Gamrath, P. Gemander, R. Gottwald, G. Hendel, C. Hojny, T. Koch, M. Miltenberger, B. Müller, M. Pfetsch, C. Puchert, D. Rehfeldt, F. Schlösser, F. Serrano, Y. Shinano, J. Viernickel, S. Vigerske, D. Weninger, J. Witt, J. Witzig, The SCIP Optimization Suite 5.0. Technical Report 17-61, ZIB, Takustr. 7, 14195 Berlin, 2017

    Google Scholar 

  5. G. Gamrath, M. Lübbecke, Experiments with a generic Dantzig-Wolfe decomposition for integer programs, in SEA 2010: Experimental Algorithms, ed. by P. Festa (Springer, 2010), pp. 239–252

    Google Scholar 

  6. G. Optimizer, Gurobi Optimizer Version 8.0 (Gurobi Optimization, Inc., Houston, Texas, 2018). http://www.gurobi.com/

  7. M. Lübbecke, C. Puchert, P. Schiewe, A. Schöbel, Integrating line planning, timetabling and vehicle scheduling - integer programming formulation and analysis, in Proceedings of CASPT 2018, 2018

    Google Scholar 

  8. A. Schiewe, S. Albert, J. Pätzold, P. Schiewe, A. Schöbel, J. Schulz, LinTim: An integrated environment for mathematical public transport optimization. documentation. Technical Report 2018-08, Preprint-Reihe, Institut für Numerische und Angewandte Mathematik, Georg-August-Universität Göttingen, 2018

    Google Scholar 

  9. F. Vanderbeck, L. Wolsey, Reformulation and decomposition of integer programs, in 50 Years of Integer Programming 1958-2008 (Springer, 2010), pp. 431–502

    Google Scholar 

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Schiewe, P. (2020). Integrating Line Planning, Timetabling, Passenger Routing and Vehicle Scheduling. In: Integrated Optimization in Public Transport Planning. Springer Optimization and Its Applications, vol 160. Springer, Cham. https://doi.org/10.1007/978-3-030-46270-3_5

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