Skip to main content

2020 | OriginalPaper | Buchkapitel

Assessing Simulated Annealing with Variable Neighborhoods

verfasst von : Eduardo Lalla-Ruiz, Leonard Heilig, Stefan Voß

Erschienen in: Learning and Intelligent Optimization

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Simulated annealing (SA) is a well-known metaheuristic commonly used to solve a great variety of \(\mathcal {NP}\)-hard problems such as the quadratic assignment problem (QAP). As commonly known, the choice and size of neighborhoods can have a considerable impact on the performance of SA. In this work, we investigate and propose a SA variant that considers variable neighborhood structures driven by the state of the search. In the computational experiments, we assess the contribution of this SA variant in comparison with the state-of-the-art SA for the QAP applied to printed circuit boards and conclude that our approach is able to report better solutions by means of short computational times.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Burkard, R.E., Karisch, S.E., Rendl, F.: QAPLIB-a quadratic assignment problem library. J. Global Optim. 10(4), 391–403 (1997)MathSciNetCrossRef Burkard, R.E., Karisch, S.E., Rendl, F.: QAPLIB-a quadratic assignment problem library. J. Global Optim. 10(4), 391–403 (1997)MathSciNetCrossRef
2.
Zurück zum Zitat Cheh, K.M., Goldberg, J.B., Askin, R.G.: A note on the effect of neighborhood structure in simulated annealing. Comput. Oper. Res. 18(6), 537–547 (1991)CrossRef Cheh, K.M., Goldberg, J.B., Askin, R.G.: A note on the effect of neighborhood structure in simulated annealing. Comput. Oper. Res. 18(6), 537–547 (1991)CrossRef
3.
Zurück zum Zitat Chen, P., Huang, H.K., Dong, X.Y.: Iterated variable neighborhood descent algorithm for the capacitated vehicle routing problem. Expert Syst. Appl. 37(2), 1620–1627 (2010)CrossRef Chen, P., Huang, H.K., Dong, X.Y.: Iterated variable neighborhood descent algorithm for the capacitated vehicle routing problem. Expert Syst. Appl. 37(2), 1620–1627 (2010)CrossRef
4.
Zurück zum Zitat Drezner, Z., Hahn, P.M., Taillard, E.D.: Recent advances for the quadratic assignment problem with special emphasis on instances that are difficult for meta-heuristic methods. Ann. Oper. Res. 139(1), 65–94 (2005)MathSciNetCrossRef Drezner, Z., Hahn, P.M., Taillard, E.D.: Recent advances for the quadratic assignment problem with special emphasis on instances that are difficult for meta-heuristic methods. Ann. Oper. Res. 139(1), 65–94 (2005)MathSciNetCrossRef
5.
Zurück zum Zitat Duman, E., Or, I.: The quadratic assignment problem in the context of the printed circuit board assembly process. Comput. Oper. Res. 34(1), 163–179 (2007)CrossRef Duman, E., Or, I.: The quadratic assignment problem in the context of the printed circuit board assembly process. Comput. Oper. Res. 34(1), 163–179 (2007)CrossRef
6.
Zurück zum Zitat Duman, E., Uysal, M., Alkaya, A.F.: Migrating birds optimization: a new metaheuristic approach and its performance on quadratic assignment problem. Inf. Sci. 217, 65–77 (2012)MathSciNetCrossRef Duman, E., Uysal, M., Alkaya, A.F.: Migrating birds optimization: a new metaheuristic approach and its performance on quadratic assignment problem. Inf. Sci. 217, 65–77 (2012)MathSciNetCrossRef
7.
Zurück zum Zitat Heilig, L., Lalla-Ruiz, E., Voß, S.: port-IO: an integrative mobile cloud platform for real-time inter-terminal truck routing optimization. Flex. Serv. Manuf. J. 29(3), 504–534 (2017)CrossRef Heilig, L., Lalla-Ruiz, E., Voß, S.: port-IO: an integrative mobile cloud platform for real-time inter-terminal truck routing optimization. Flex. Serv. Manuf. J. 29(3), 504–534 (2017)CrossRef
8.
Zurück zum Zitat Hemmelmayr, V.C., Doerner, K.F., Hartl, R.F.: A variable neighborhood search heuristic for periodic routing problems. Eur. J. Oper. Res. 195(3), 791–802 (2009)CrossRef Hemmelmayr, V.C., Doerner, K.F., Hartl, R.F.: A variable neighborhood search heuristic for periodic routing problems. Eur. J. Oper. Res. 195(3), 791–802 (2009)CrossRef
10.
Zurück zum Zitat Koopmans, T.C., Beckman, M.: Assignment problems and the location of economic activities. Econometrica 25, 53–76 (1957)MathSciNetCrossRef Koopmans, T.C., Beckman, M.: Assignment problems and the location of economic activities. Econometrica 25, 53–76 (1957)MathSciNetCrossRef
11.
Zurück zum Zitat Kuo, Y., Wang, C.C.: A variable neighborhood search for the multi-depot vehicle routing problem with loading cost. Expert Syst. Appl. 39(8), 6949–6954 (2012)CrossRef Kuo, Y., Wang, C.C.: A variable neighborhood search for the multi-depot vehicle routing problem with loading cost. Expert Syst. Appl. 39(8), 6949–6954 (2012)CrossRef
12.
Zurück zum Zitat Lin, Y., Bian, Z., Liu, X.: Developing a dynamic neighborhood structure for an adaptive hybrid simulated annealing-tabu search algorithm to solve the symmetrical traveling salesman problem. Appl. Soft Comput. 49, 937–952 (2016)CrossRef Lin, Y., Bian, Z., Liu, X.: Developing a dynamic neighborhood structure for an adaptive hybrid simulated annealing-tabu search algorithm to solve the symmetrical traveling salesman problem. Appl. Soft Comput. 49, 937–952 (2016)CrossRef
13.
Zurück zum Zitat Loiola, E.M., Maia de Abreu, N.M., Boaventura-Netto, P.O., Hahn, P., Querido, T.: A survey for the quadratic assignment problem. Eur. J. Oper. Res. 176(2), 657–690 (2007)MathSciNetCrossRef Loiola, E.M., Maia de Abreu, N.M., Boaventura-Netto, P.O., Hahn, P., Querido, T.: A survey for the quadratic assignment problem. Eur. J. Oper. Res. 176(2), 657–690 (2007)MathSciNetCrossRef
14.
Zurück zum Zitat Ogbu, F., Smith, D.K.: The application of the simulated annealing algorithm to the solution of the n/m/Cmax flowshop problem. Comput. Oper. Res. 17(3), 243–253 (1990)MathSciNetCrossRef Ogbu, F., Smith, D.K.: The application of the simulated annealing algorithm to the solution of the n/m/Cmax flowshop problem. Comput. Oper. Res. 17(3), 243–253 (1990)MathSciNetCrossRef
15.
Zurück zum Zitat Rodriguez-Cristerna, A., Torres-Jimenez, J.: A simulated annealing with variable neighborhood search approach to construct mixed covering arrays. Electron. Notes Discret. Math. 39, 249–256 (2012)MathSciNetCrossRef Rodriguez-Cristerna, A., Torres-Jimenez, J.: A simulated annealing with variable neighborhood search approach to construct mixed covering arrays. Electron. Notes Discret. Math. 39, 249–256 (2012)MathSciNetCrossRef
16.
Zurück zum Zitat Xinchao, Z.: Simulated annealing algorithm with adaptive neighborhood. Appl. Soft Comput. 11(2), 1827–1836 (2011)CrossRef Xinchao, Z.: Simulated annealing algorithm with adaptive neighborhood. Appl. Soft Comput. 11(2), 1827–1836 (2011)CrossRef
17.
Zurück zum Zitat Xu, Y., Qu, R.: Solving multi-objective multicast routing problems by evolutionary multi-objective simulated annealing algorithms with variable neighbourhoods. J. Oper. Res. Soc. 62(2), 313–325 (2011)CrossRef Xu, Y., Qu, R.: Solving multi-objective multicast routing problems by evolutionary multi-objective simulated annealing algorithms with variable neighbourhoods. J. Oper. Res. Soc. 62(2), 313–325 (2011)CrossRef
18.
Zurück zum Zitat Xu, Y., Wang, L., Yang, Y.: A new variable neighborhood search algorithm for the multi depot heterogeneous vehicle routing problem with time windows. Electron. Notes Discret. Math. 39, 289–296 (2012)CrossRef Xu, Y., Wang, L., Yang, Y.: A new variable neighborhood search algorithm for the multi depot heterogeneous vehicle routing problem with time windows. Electron. Notes Discret. Math. 39, 289–296 (2012)CrossRef
19.
Zurück zum Zitat Ying, K.C., Lin, S.W., Lu, C.C.: Cell formation using a simulated annealing algorithm with variable neighbourhood. Eur. J. Ind. Eng. 5(1), 22–42 (2010)CrossRef Ying, K.C., Lin, S.W., Lu, C.C.: Cell formation using a simulated annealing algorithm with variable neighbourhood. Eur. J. Ind. Eng. 5(1), 22–42 (2010)CrossRef
Metadaten
Titel
Assessing Simulated Annealing with Variable Neighborhoods
verfasst von
Eduardo Lalla-Ruiz
Leonard Heilig
Stefan Voß
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-38629-0_24