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POPMUSIC

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Abstract

This chapter presents POPMUSIC, a general decomposition-based framework within the realm of metaheuristics and matheuristics that has been successfully applied to various combinatorial optimization problems. POPMUSIC is especially useful for designing heuristic methods for large combinatorial problems that can be partially optimized. The basic idea is to optimize subparts of solutions until a local optimum is reached. Implementations of the technique to various problems show its broad applicability and efficiency for tackling especially large-size instances.

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References

  1. Adams J, Balas E, Zawack D (1988) The shifting bottleneck procedure for job shop scheduling. Manag Sci 34:391–401

    Article  MathSciNet  Google Scholar 

  2. Alvim ACF, Taillard ÉD (2007) An efficient POPMUSIC based approach to the point feature label placement problem. In: Metaheuristic International Conference (MIC’07) Proceedings.

    Google Scholar 

  3. Alvim ACF, Taillard ÉD (2009) POPMUSIC for the point feature label placement problem. Eur J Oper Res 192(2):396–413

    Article  Google Scholar 

  4. Alvim ACF, Taillard ÉD (2013) POPMUSIC for the world location routing problem. EURO J Transp Logist 2:231–254

    Article  Google Scholar 

  5. Angelelli E, Mansini R, Speranza M (2010) Kernel search: a general heuristic for the multi-dimensional knapsack problem. Comput Oper Res 37(11):2017–2026

    Article  MathSciNet  Google Scholar 

  6. Angelelli E, Mansini R, Speranza M (2012) Kernel search: a new heuristic framework for portfolio selection. Comput Optim Appl 51(1):345–361.

    Article  MathSciNet  Google Scholar 

  7. Balas E, Zemel E (1980) An algorithm for large zero-one knapsack problems. Oper Res 28(5):1130–1154

    Article  MathSciNet  Google Scholar 

  8. Ball MO (2011) Heuristics based on mathematical programming. Surv Oper Res Manag Sci 16(1):21–38

    Google Scholar 

  9. Concorde (2015) Concorde TSP solver. http://www.math.uwaterloo.ca/tsp/concorde/index.html

  10. Fischetti M, Lodi A (2003) Local branching. Math Program B 98:23–47

    Article  MathSciNet  Google Scholar 

  11. Fischetti M, Polo C, Scantamburlo M (2004) A local branching heuristic for mixed-integer programs with 2-level variables, with an application to a telecommunication network design problem. Networks 44(2):61–72

    Article  MathSciNet  Google Scholar 

  12. Glover F, Laguna M (1997) Tabu search. Kluwer, Dordrecht

    Book  Google Scholar 

  13. Hansen P, Mladenović N, Urosević D (2006) Variable neighborhood search and local branching. Comput Oper Res 33(10):3034–3045

    Article  Google Scholar 

  14. Hill A, Voß S (2015) Generalized local branching heuristics and the capacitated ring tree problem. Working paper, IWI, University of Hamburg

    MATH  Google Scholar 

  15. Lalla-Ruiz E, Voß S (2016) POPMUSIC as a matheuristic for the berth allocation problem. Ann Math Artif Intell 76:173–189

    Article  MathSciNet  Google Scholar 

  16. Lalla-Ruiz E, Voß S, Exposito-Izquierdo C, Melian-Batista B, Moreno-Vega JM (2015) A POPMUSIC-based approach for the berth allocation problem under time-dependent limitations. Ann Oper Res 1–27. doi:10.1007/s10479-015-2055-6, ISSN:1572-9338. Page online available http://dx.doi.org/10.1007/s10479-015-2055-6

  17. Lalla-Ruiz E, Schwarze S, Voß S (2016) A matheuristic approach for the p-cable trench problem. Working paper, IWI, University of Hamburg

    Book  Google Scholar 

  18. Laurent M, Taillard ÉD, Ertz O, Grin F, Rappo D, Roh S (2009) From point feature label placement to map labelling. In: Metaheuristic International Conference (MIC’09) Proceedings.

    Google Scholar 

  19. Maniezzo V, Stützle T, Voß S (eds) (2009) Matheuristics: hybridizing metaheuristics and mathematical programming. Springer, Berlin

    MATH  Google Scholar 

  20. Ostertag A, Doerner KF, Hartl RF, Taillard ÉD, Waelti P (2009) POPMUSIC for a real-world large-scale vehicle routing problem with time windows. J Oper Res Soc 60(7):934–943

    Article  Google Scholar 

  21. Pisinger D (1999) Core problems in knapsack algorithms. Oper Res 47(4):570–575

    Article  MathSciNet  Google Scholar 

  22. Pisinger D, Ropke S (2007) A general heuristic for vehicle routing problems. Comput Oper Res 34(8):2403–2435

    Article  MathSciNet  Google Scholar 

  23. Sniedovich M, Voß S (2006) The corridor method: a dynamic programming inspired metaheuristic. Control Cybern 35:551–578

    MathSciNet  MATH  Google Scholar 

  24. Taillard E, Voß S (2002) POPMUSIC—partial optimization metaheuristic under special intensification conditions. In: Ribeiro C, Hansen P (eds) Essays and surveys in metaheuristics. Kluwer, Boston, pp 613–629

    Chapter  Google Scholar 

  25. Taillard ÉD (1993) Parallel iterative search methods for vehicle routing problems. Networks 23(8):661–673

    Article  Google Scholar 

  26. Taillard ÉD (2003) Heuristic methods for large centroid clustering problems. J Heuristics 9(1):51–73. Old technical report IDSIA-96-96

    Google Scholar 

  27. Woodruff D (1998) Proposals for chunking and tabu search. Eur J Oper Res 106:585–598

    Article  Google Scholar 

  28. Yamamoto M, Camara G, Lorena L (2002) Tabu search heuristic for point-feature cartographic label placement. GeoInformatica 6:77–90

    Article  Google Scholar 

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Correspondence to Éric D. Taillard .

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Taillard, É.D., Voß, S. (2018). POPMUSIC. In: Martí, R., Pardalos, P., Resende, M. (eds) Handbook of Heuristics. Springer, Cham. https://doi.org/10.1007/978-3-319-07124-4_31

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