Skip to main content
Erschienen in:
Buchtitelbild

2016 | OriginalPaper | Buchkapitel

A Variable Neighborhood Search Approach for the Capacitated m-Ring-Star Problem

verfasst von : Carlos Franco, Eduyn López-Santana, Germán Mendez-Giraldo

Erschienen in: Intelligent Computing Theories and Application

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

In this paper, we proposed an algorithm based on variable neighborhood search (VNS) for the capacitated m-Ring-Star problem. This problem has several real applications in communications networks, rapid transit system planning and optical fiber networks. The problem consists in design m rings or cycles that begins of a central depot and visits a set of customers and transition or steiner nodes. While the nodes don’t belong to a ring these must be allocated or assign to a customer or steiner node that belongs to a ring. The number of customers allocated or visited in each ring must not exceed the maximum capacity. The goal is to minimize the visiting and allocation cost. For solving the problem, we propose a VNS approach based on random perturbation for escaping from the local optimal solutions. Our method reached the optimal solution in a reasonable amount of time in a set of instances from the literature.

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.
2.
Zurück zum Zitat Calvetea, H.I., Galéy, C., Iranzo, J.A.: MEALS: a multiobjective evolutionary algorithm with local search for solving the bi-objective ring star problem. Eur. J. Oper. Res. 250, 377–388 (2016)MathSciNetCrossRef Calvetea, H.I., Galéy, C., Iranzo, J.A.: MEALS: a multiobjective evolutionary algorithm with local search for solving the bi-objective ring star problem. Eur. J. Oper. Res. 250, 377–388 (2016)MathSciNetCrossRef
3.
Zurück zum Zitat Calvetea, H.I., Galéy, C., Iranzo, J.A.: An efficient evolutionary algorithm for the ring star problem. Eur. J. Oper. Res. 231, 22–33 (2013)MathSciNetCrossRef Calvetea, H.I., Galéy, C., Iranzo, J.A.: An efficient evolutionary algorithm for the ring star problem. Eur. J. Oper. Res. 231, 22–33 (2013)MathSciNetCrossRef
4.
Zurück zum Zitat Liefooghe, A., Jourdany, L., Talbi, E.G.: Metaheuristics and cooperative approaches for the bi-objective ring star problem. Comput. Oper. Res. 37, 1033–1044 (2010)MathSciNetCrossRefMATH Liefooghe, A., Jourdany, L., Talbi, E.G.: Metaheuristics and cooperative approaches for the bi-objective ring star problem. Comput. Oper. Res. 37, 1033–1044 (2010)MathSciNetCrossRefMATH
5.
Zurück zum Zitat Labbé, M., Laporte, G., Martíny, I., González, J.S.: The ring star problem polyhedral analysis and exact algorithm. Networks 43, 177–189 (2004)MathSciNetCrossRefMATH Labbé, M., Laporte, G., Martíny, I., González, J.S.: The ring star problem polyhedral analysis and exact algorithm. Networks 43, 177–189 (2004)MathSciNetCrossRefMATH
6.
Zurück zum Zitat Lee, Y., Chiu, S.Y., Sanchez, J.: A branch and cut algorithm for the steiner ring star problem. Int. J. Manag. Sci. 4, 21–34 (1998) Lee, Y., Chiu, S.Y., Sanchez, J.: A branch and cut algorithm for the steiner ring star problem. Int. J. Manag. Sci. 4, 21–34 (1998)
7.
Zurück zum Zitat Naji-Azimi, Z., Salariy, M., Toth, P.: An integer linear programming based heuristic for the capacitated m-Ring-Star problem. Eur. J. Oper. Res. 217, 17–25 (2012)MathSciNetCrossRefMATH Naji-Azimi, Z., Salariy, M., Toth, P.: An integer linear programming based heuristic for the capacitated m-Ring-Star problem. Eur. J. Oper. Res. 217, 17–25 (2012)MathSciNetCrossRefMATH
8.
Zurück zum Zitat Azimi, Z.N., Salariy, M., Toth, P.: A heuristic procedure for the capacitated m-Ring-Star problem. Eur. J. Oper. Res. 207, 1227–1234 (2010)MathSciNetCrossRefMATH Azimi, Z.N., Salariy, M., Toth, P.: A heuristic procedure for the capacitated m-Ring-Star problem. Eur. J. Oper. Res. 207, 1227–1234 (2010)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Hoshinoay, E.A., de Souza, C.C.: A branch-and-cut-and-price approach for the capacitated m-Ring-Star problem. Discrete Appl. Math. 160, 2728–2741 (2012)MathSciNetCrossRefMATH Hoshinoay, E.A., de Souza, C.C.: A branch-and-cut-and-price approach for the capacitated m-Ring-Star problem. Discrete Appl. Math. 160, 2728–2741 (2012)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Hoshinoay, E.A., de Souza, C.C.: A branch-and-cut-and-price approach for the capacitated m-Ring-Star problem. Electron. Notes Discrete Math. 35, 103–108 (2009)MathSciNetCrossRefMATH Hoshinoay, E.A., de Souza, C.C.: A branch-and-cut-and-price approach for the capacitated m-Ring-Star problem. Electron. Notes Discrete Math. 35, 103–108 (2009)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Berinskyy, H., Zabala, P.: An integer linear programming formulation and branch-and-cut algorithm for the capacitated m-Ring-Star problem. Electron. Notes Discrete Math. 37, 273–278 (2011)MathSciNetCrossRefMATH Berinskyy, H., Zabala, P.: An integer linear programming formulation and branch-and-cut algorithm for the capacitated m-Ring-Star problem. Electron. Notes Discrete Math. 37, 273–278 (2011)MathSciNetCrossRefMATH
Metadaten
Titel
A Variable Neighborhood Search Approach for the Capacitated m-Ring-Star Problem
verfasst von
Carlos Franco
Eduyn López-Santana
Germán Mendez-Giraldo
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-42291-6_1