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A New Hybrid Metaheuristic – Combining Stochastic Tunneling and Energy Landscape Paving

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Hybrid Metaheuristics (HM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7919))

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Abstract

(Hybrid) metaheuristics such as simulated annealing, genetic algorithms, or extremal optimization play a most prominent role in global optimization. The performance of these algorithms and their respective sampling behavior during the search process are themselves interesting problems. Here, we show that a combination of two approaches – namely Energy Landscape Paving (ELP) and Stochastic Tunneling (STUN) – can overcome known problems of other Metropolis-sampling-based procedures. We show on grounds of non-equilibrium statistical mechanics and empirical evidence on the synergistic advantages of this combined approach and discuss simulations for a complex optimization problem.

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References

  1. Arito, F., Leguizamón, G.: Incorporating tabu search principles into aco algorithms. In: Blesa, et al. (eds.) [5], pp. 130–140

    Google Scholar 

  2. Barahona, F.: On the computational complexity of ising spin glass models. Journal of Physics A: Mathematical and General 15(10), 3241 (1982), http://stacks.iop.org/0305-4470/15/i=10/a=028

    Article  MathSciNet  Google Scholar 

  3. Bentner, J., Bauer, G., Obermair, G.M., Morgenstern, I., Schneider, J.: Optimization of the time-dependent traveling salesman problem with monte carlo methods. Phys. Rev. E 64, 036701 (2001)

    Google Scholar 

  4. Binder, K., Young, A.: Spin glasses: Experimental facts, theoretical concepts, and open questions. Rev. Mod. Phys. 58(4), 801–976 (1986)

    Article  Google Scholar 

  5. Blesa, M.J., Blum, C., Di Gaspero, L., Roli, A., Sampels, M., Schaerf, A. (eds.): HM 2009. LNCS, vol. 5818. Springer, Heidelberg (2009)

    MATH  Google Scholar 

  6. Chaves, A.A., Lorena, L.A.N., Miralles, C.: Hybrid metaheuristic for the assembly line worker assignment and balancing problem. In: Blesa, et al. (eds.) [5], pp. 1–14

    Google Scholar 

  7. Chávez, E., Navarro, G., Baeza-Yates, R., Marroquín, J.L.: Searching in metric spaces. ACM Comput. Surv. 33(3), 273–321 (2001)

    Article  Google Scholar 

  8. Doerner, K.F., Schmid, V.: Survey: Matheuristics for rich vehicle routing problems. In: Blesa, M.J., Blum, C., Raidl, G., Roli, A., Sampels, M. (eds.) HM 2010. LNCS, vol. 6373, pp. 206–221. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Doye, J.P.K., Wales, D.J.: Thermodynamics of global optimization. Phys. Rev. Lett. 80(7), 1357–1360 (1998)

    Article  Google Scholar 

  10. Fernandes, S., Lourenço, H.R.: Optimised search heuristic combining valid inequalities and tabu search. In: Blesa, M.J., Blum, C., Cotta, C., Fernández, A.J., Gallardo, J.E., Roli, A., Sampels, M. (eds.) HM 2008. LNCS, vol. 5296, pp. 87–101. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Glover, F.: Future paths for integer programming and links to artificial intelligence. Comput. Oper. Res. 13, 533–549 (1986)

    Article  MathSciNet  MATH  Google Scholar 

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

    Book  MATH  Google Scholar 

  13. Hamacher, K.: Adaptation in stochastic tunneling global optimization of complex potential energy landscapes. Europhys. Lett. 74(6), 944–950 (2006)

    Article  Google Scholar 

  14. Hamacher, K.: Energy landscape paving as a perfect optimization approach under detrended fluctuation analysis. Physica A 378(2), 307–314 (2007)

    Article  Google Scholar 

  15. Hansmann, U., Wille, L.T.: Global Optimization by Energy Landscape Paving. Phys. Rev. Lett. 88(23), 068105 (2002)

    Google Scholar 

  16. Ingber, L.: Simulated annealing: Practice versus theory. Mathematical and Computer Modelling 18(11), 29–57 (1993), http://www.sciencedirect.com/science/article/pii/089571779390204C

    Article  MathSciNet  MATH  Google Scholar 

  17. Kirkpatrick, S., Gelatt, C., Vecchi, M.: Optimization by simulated annealing. Science 220, 671–680 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  18. Klotz, T., Schubert, S., Hoffmann, K.: The state space of short-range Ising spin glasses: the density of states. The European Physical Journal B-Condensed Matter and Complex Systems 2(3), 313–317 (1998)

    Article  Google Scholar 

  19. Liwo, A., Lee, J., Ripoll, D.R., Pillardy, J., Scheraga, H.A.: Protein structure prediction by global optimization of a potential energy function. PNAS 96(10), 5482–5485 (1999)

    Article  Google Scholar 

  20. Maringer, D., Parpas, P.: Global optimization of higher order moments in portfolio selection. J. Glob. Opt. 43, 219–230 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  21. Mertens, S.: Random Costs in Combinatorial Optimization. Phys. Rev. Lett. 84(6), 1347–1350 (2000)

    Article  MathSciNet  Google Scholar 

  22. Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: Equation of state calculations by fast computing machines. J. Chem. Phys. 21(6), 1087–1092 (1953)

    Article  Google Scholar 

  23. Middleton, A.A.: Improved extremal optimization for the ising spin glass. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 69(5), 055701 (2004), http://link.aps.org/abstract/PRE/v69/e055701

  24. Munakata, T., Nakamura, Y.: Temperature control for simulated annealing. Phys. Rev. E 64(4), 046127 (2001)

    Google Scholar 

  25. Nayeem, A., Vila, J., Scheraga, H.A.: A comparative study of the simulated-annealing and monte carlo-with- minimization approaches to the minimum-energy structures of polypeptides: [met]-enkephalin. J. Comp. Chem. 12(5), 594–605 (1991)

    Article  Google Scholar 

  26. Notay, Y.: Flexible conjugate gradients. SIAM Journal on Scientific Computing 22(4), 1444–1460 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  27. Prügel-Bennett, A., Shapiro, J.L.: Analysis of genetic algorithms using statistical mechanics. Phys. Rev. Lett. 72(9), 1305–1309 (1994)

    Article  Google Scholar 

  28. Schug, A., Wenzel, W., Hansmann, U.: Energy landscape paving simulations of the trp-cage protein. J. Chem. Phys. 122, 194711 (2005)

    Article  Google Scholar 

  29. Sexton, R.S., Dorsey, R.E., Johnson, J.D.: Toward global optimization of neural networks: A comparison of the genetic algorithm and backpropagation. Decision Support Systems 22(2), 171–185 (1998)

    Article  Google Scholar 

  30. Simone, C., Diehl, M., Jünger, M., Mutzel, P., Reinelt, G.: Exact ground states of ising spin glasses: New experimental results with a branch-and-cut algorithm. J. Stat. Phys. 80, 487 (1995)

    Article  MATH  Google Scholar 

  31. Wales, D.J., Scheraga, H.A.: Global Optimization of Clusters, Crystals, and Biomolecules. Science 285(5432), 1368–1372 (1999)

    Article  Google Scholar 

  32. Walshaw, C.: Multilevel refinement for combinatorial optimisation: Boosting metaheuristic performance. In: Blum, C., Aguilera, M.J.B., Roli, A., Sampels, M. (eds.) Hybrid Metaheuristics. SCI, vol. 114, pp. 261–289. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  33. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997), citeseer.ist.psu.edu/wolpert96no.html

    Article  Google Scholar 

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Hamacher, K. (2013). A New Hybrid Metaheuristic – Combining Stochastic Tunneling and Energy Landscape Paving. In: Blesa, M.J., Blum, C., Festa, P., Roli, A., Sampels, M. (eds) Hybrid Metaheuristics. HM 2013. Lecture Notes in Computer Science, vol 7919. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38516-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-38516-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38515-5

  • Online ISBN: 978-3-642-38516-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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