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Local search heuristics for the zone planning problem

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Abstract

In this paper we introduce a new class of algorithms for the design of a tariff system based on zone partitions for a public transportation network. We show the effectiveness of metaheuristics methods compared with existing heuristics reported in literature, exploiting interesting properties of the problem at hand. Comparison are carried out also in terms of computational time.

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Notes

  1. It’s worth observing that Fig. 1 has the purpose to show qualitatively a division in zones of the municipalities. The reported tessellation, however, does not respect at all the contiguity of zones, which is represented by the arcs connecting the zones.

References

  1. Abrate, G., Piacenza, M., Vannoni, D.: Regional science and urban economics the impact of integrated tariff systems on public transport demand: evidence from italy. Reg. Sci. Urban Econ. 39, 120–127 (2009)

    Article  Google Scholar 

  2. Authority, W.M.A.T. http://www.wmata.com/. Accessed 14 June 2016

  3. Babel, L., Kellerer, H.: Design of tariff zones in public transportation networks : theoretical results and heuristics. Math. Methods Oper. Res. (ZOR) 58, 4–5 (2003)

    MathSciNet  MATH  Google Scholar 

  4. Blog, W.M.A.T.A. http://planitmetro.com/2012/10/31/data-download-metrorail-ridership-by-origin-and-destination/. Accessed 14 June 2016

  5. Dos Reis, G., Stroustrup, B.: Specifying C++ concepts. SIGPLAN Not. 41, 295–308 (2006)

    Article  Google Scholar 

  6. Gendreau, M., Potvin, J.Y. (eds.): Handbook of Metaheuristics, International series in operations research and management science, vol. 146, 2nd edn. Springer, New York (2010)

  7. Glover, F.W., Laguna, M.: Tabu Search. Springer, New York (1997)

  8. Hamacher, H.W., Schöbel, A.: Design of zone tariff systems in public transportation. Oper. Res. 52(6), 897–908 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Kowalik, P.: An improvement of a “price-oriented” public transport tariff system. Tech. rep, Wydawnictwo Akademii Techniczno-Humanistycznej, Bielsko-Biała (2010)

  10. Lourenço, H., Martin, O., Stülze, T.: Iterated local search: Framework and Applications. In: Gendreau, M., Potvin,J-y. (eds. ) Handbook of metaheuristics, international series in operations research and management science, vol. 57, chap. 11, pp. 363–397. Springer, Boston, US (2010). doi:10.1007/978-1-4419-1665-5_12

  11. Maischberger, M.: COIN-OR METSlib: a metaheuristics framework in modern C++. Tech. rep, Optimization Online (2011)

  12. OpenMP Architecture Review Board.: OpenMP C and C++ application program interface (2002)

  13. OpenStreetMap. http://www.openstreetmap.org

  14. Ortuzar, J.d.D., Willumsen, L.G.: Modelling transport, 4th edn. Wiley, New York (2011)

  15. Schöbel, A.: Optimization in public transportation, chap. Tariff planning, pp. 207–236. Springer, New York (2006)

  16. Stallman, R.: Using GCC: the GNU compiler collection reference manual. GNU Press, Boston (2003)

    Google Scholar 

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Correspondence to Alessandro Galligari.

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Galligari, A., Maischberger, M. & Schoen, F. Local search heuristics for the zone planning problem. Optim Lett 11, 195–207 (2017). https://doi.org/10.1007/s11590-016-1069-6

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  • DOI: https://doi.org/10.1007/s11590-016-1069-6

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