Skip to main content
Erschienen in: Natural Computing 1/2010

01.03.2010

Discrete Particle Swarm Optimization for the minimum labelling Steiner tree problem

verfasst von: Sergio Consoli, José Andrés Moreno-Pérez, Kenneth Darby-Dowman, Nenad Mladenović

Erschienen in: Natural Computing | Ausgabe 1/2010

Einloggen

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

search-config
loading …

Abstract

Particle Swarm Optimization is a population-based method inspired by the social behaviour of individuals inside swarms in nature. Solutions of the problem are modelled as members of the swarm which fly in the solution space. The improvement of the swarm is obtained from the continuous movement of the particles that constitute the swarm submitted to the effect of inertia and the attraction of the members who lead the swarm. This work focuses on a recent Discrete Particle Swarm Optimization for combinatorial optimization, called Jumping Particle Swarm Optimization. Its effectiveness is illustrated on the minimum labelling Steiner tree problem: given an undirected labelled connected graph, the aim is to find a spanning tree covering a given subset of nodes, whose edges have the smallest number of distinct labels.

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
Zurück zum Zitat Al-kazemi B, Mohan CK (2002) Multi-phase discrete particle swarm optimization. In: Fourth international workshop on frontiers in evolutionary algorithms, Kinsale, Ireland Al-kazemi B, Mohan CK (2002) Multi-phase discrete particle swarm optimization. In: Fourth international workshop on frontiers in evolutionary algorithms, Kinsale, Ireland
Zurück zum Zitat Castro-Gutiérrez JP, Landa-Silva D, Moreno-Pérez JA (2008) Exploring feasible and infeasible regions in the vehicle routing problem with time windows using a multi-objective particle swarm optimization approach. In: Proceedings of international workshop on nature inspired cooperatives strategies for optimization (NICSO 2008) Castro-Gutiérrez JP, Landa-Silva D, Moreno-Pérez JA (2008) Exploring feasible and infeasible regions in the vehicle routing problem with time windows using a multi-objective particle swarm optimization approach. In: Proceedings of international workshop on nature inspired cooperatives strategies for optimization (NICSO 2008)
Zurück zum Zitat Cerulli R, Fink A, Gentili M, Voß S (2005) Metaheuristics comparison for the minimum labelling spanning tree problem. In: Golden BL, Raghavan S, Wasil EA (eds) The next wave on computing, optimization, and decision technologies. Springer-Verlag, New York, pp 93–106CrossRef Cerulli R, Fink A, Gentili M, Voß S (2005) Metaheuristics comparison for the minimum labelling spanning tree problem. In: Golden BL, Raghavan S, Wasil EA (eds) The next wave on computing, optimization, and decision technologies. Springer-Verlag, New York, pp 93–106CrossRef
Zurück zum Zitat Cerulli R, Fink A, Gentili M, Voß S (2006) Extensions of the minimum labelling spanning tree problem. J Telecommun Inf Technol 4:39–45 Cerulli R, Fink A, Gentili M, Voß S (2006) Extensions of the minimum labelling spanning tree problem. J Telecommun Inf Technol 4:39–45
Zurück zum Zitat Consoli S, Darby-Dowman K, Mladenović N, Moreno-Pérez JA (2008a) Greedy randomized adaptive search and variable neighbourhood search for the minimum labelling spanning tree problem. Eur J Oper Res 196(2):440–449CrossRef Consoli S, Darby-Dowman K, Mladenović N, Moreno-Pérez JA (2008a) Greedy randomized adaptive search and variable neighbourhood search for the minimum labelling spanning tree problem. Eur J Oper Res 196(2):440–449CrossRef
Zurück zum Zitat Consoli S, Moreno-Pérez JA, Darby-Dowman K, Mladenović N (2008b) Discrete particle swarm optimization for the minimum labelling Steiner tree problem. In: Krasnogor N, Nicosia G, Pavone M, Pelta D (eds) Nature inspired cooperative strategies for optimization, studies in computational intelligence, vol 129. Springer-Verlag, New York, pp 313–322CrossRef Consoli S, Moreno-Pérez JA, Darby-Dowman K, Mladenović N (2008b) Discrete particle swarm optimization for the minimum labelling Steiner tree problem. In: Krasnogor N, Nicosia G, Pavone M, Pelta D (eds) Nature inspired cooperative strategies for optimization, studies in computational intelligence, vol 129. Springer-Verlag, New York, pp 313–322CrossRef
Zurück zum Zitat Correa ES, Freitas AA, Johnson CG (2006) A new discrete particle swarm algorithm applied to attribute selection in a bioinformatic data set. In: Proceedings of GECCO 2006, pp 35–42 Correa ES, Freitas AA, Johnson CG (2006) A new discrete particle swarm algorithm applied to attribute selection in a bioinformatic data set. In: Proceedings of GECCO 2006, pp 35–42
Zurück zum Zitat Demśar J (2006) Statistical comparison of classifiers over multiple data sets. J Mach Learn Res 7:1–30MathSciNet Demśar J (2006) Statistical comparison of classifiers over multiple data sets. J Mach Learn Res 7:1–30MathSciNet
Zurück zum Zitat Duin C, Voß S (1999) The Pilot Method: a strategy for heuristic repetition with applications to the Steiner problem in graphs. Networks 34(3):181–191MATHCrossRefMathSciNet Duin C, Voß S (1999) The Pilot Method: a strategy for heuristic repetition with applications to the Steiner problem in graphs. Networks 34(3):181–191MATHCrossRefMathSciNet
Zurück zum Zitat Friedman M (1940) A comparison of alternative tests of significance for the problem of m rankings. Ann Math Stat 11:86–92MATHCrossRef Friedman M (1940) A comparison of alternative tests of significance for the problem of m rankings. Ann Math Stat 11:86–92MATHCrossRef
Zurück zum Zitat Holland JH (1992) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. The MIT Press, Cambridge Holland JH (1992) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. The MIT Press, Cambridge
Zurück zum Zitat Hollander M, Wolfe DA (1999) Nonparametric statistical methods, 2nd edn. Wiley, New YorkMATH Hollander M, Wolfe DA (1999) Nonparametric statistical methods, 2nd edn. Wiley, New YorkMATH
Zurück zum Zitat Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the 4th IEEE international conference on neural networks, Perth, Australia, pp 1942–1948 Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the 4th IEEE international conference on neural networks, Perth, Australia, pp 1942–1948
Zurück zum Zitat Kennedy J, Eberhart R (1997) A discrete binary version of the particle swarm algorithm. In: IEEE conference on systems, man, and cybernetics, vol 5, pp 4104–4108 Kennedy J, Eberhart R (1997) A discrete binary version of the particle swarm algorithm. In: IEEE conference on systems, man, and cybernetics, vol 5, pp 4104–4108
Zurück zum Zitat Kennedy J, Eberhart R (2001) Swarm intelligence. Morgan Kaufmann Publishers, San Francisco Kennedy J, Eberhart R (2001) Swarm intelligence. Morgan Kaufmann Publishers, San Francisco
Zurück zum Zitat Martí R (2003) Multi-start methods. In: Glover F, Kochenberger G (eds) Handbook in metaheuristics. Kluwer, Dordrecht, pp 335–368 Martí R (2003) Multi-start methods. In: Glover F, Kochenberger G (eds) Handbook in metaheuristics. Kluwer, Dordrecht, pp 335–368
Zurück zum Zitat Martínez-García FJ, Moreno-Pérez JA (2008) Jumping frogs optimization: a new swarm method for discrete optimization. Technical Report DEIOC 3/2008, Department of Statistics, O.R. and Computing, University of La Laguna, Tenerife, Spain Martínez-García FJ, Moreno-Pérez JA (2008) Jumping frogs optimization: a new swarm method for discrete optimization. Technical Report DEIOC 3/2008, Department of Statistics, O.R. and Computing, University of La Laguna, Tenerife, Spain
Zurück zum Zitat Moreno-Pérez JA, Castro-Gutiérrez JP, Martínez-García FJ, Melián B, Moreno-Vega JM, Ramos J (2007) Discrete Particle Swarm Optimization for the p-median problem. In: Proceedings of the 7th metaheuristics international conference, Montréal, Canada Moreno-Pérez JA, Castro-Gutiérrez JP, Martínez-García FJ, Melián B, Moreno-Vega JM, Ramos J (2007) Discrete Particle Swarm Optimization for the p-median problem. In: Proceedings of the 7th metaheuristics international conference, Montréal, Canada
Zurück zum Zitat Nemenyi PB (1963) Distribution-free multiple comparisons. Ph.D. thesis, Princeton University, New Jersey Nemenyi PB (1963) Distribution-free multiple comparisons. Ph.D. thesis, Princeton University, New Jersey
Zurück zum Zitat Pampara G, Franken N, Engelbrecht AP (2005) Combining Particle Swarm Optimisation with angle modulation to solve binary problems. In: Proceedings of the IEEE congress on evolutionary computing, vol 1, pp 89–96 Pampara G, Franken N, Engelbrecht AP (2005) Combining Particle Swarm Optimisation with angle modulation to solve binary problems. In: Proceedings of the IEEE congress on evolutionary computing, vol 1, pp 89–96
Zurück zum Zitat Pugh J, Martinoli A (2006) Discrete multi-valued particle swarm optimization. In: Proceedings of IEEE swarm intelligence symposium, vol 1, pp 103–110 Pugh J, Martinoli A (2006) Discrete multi-valued particle swarm optimization. In: Proceedings of IEEE swarm intelligence symposium, vol 1, pp 103–110
Zurück zum Zitat Qu R, Xu Y, Castro-Gutiérrez JP, Landa-Silva D (2009) Particle swarm optimization for the Steiner tree in graph and delay-constrained multicast routing problems. Swarm Intelligence (submitted) Qu R, Xu Y, Castro-Gutiérrez JP, Landa-Silva D (2009) Particle swarm optimization for the Steiner tree in graph and delay-constrained multicast routing problems. Swarm Intelligence (submitted)
Zurück zum Zitat Secrest BR (2001) Traveling salesman problem for surveillance mission using Particle Swarm Optimization. Master’s thesis, School of Engineering and Management of the Air Force Institute of Technology Secrest BR (2001) Traveling salesman problem for surveillance mission using Particle Swarm Optimization. Master’s thesis, School of Engineering and Management of the Air Force Institute of Technology
Zurück zum Zitat Tanenbaum AS (1989) Computer Networks. Prentice-Hall, Englewood Cliffs Tanenbaum AS (1989) Computer Networks. Prentice-Hall, Englewood Cliffs
Zurück zum Zitat Van-Nes R (2002) Design of multimodal transport networks: a hierarchical approach. Delft University Press, Delft Van-Nes R (2002) Design of multimodal transport networks: a hierarchical approach. Delft University Press, Delft
Zurück zum Zitat Voß S (2000) Modern heuristic search methods for the Steiner tree problem in graphs. In: Du DZ, Smith JM, Rubinstein JH (eds) Advances in Steiner tree. Kluwer, Boston, pp 283–323 Voß S (2000) Modern heuristic search methods for the Steiner tree problem in graphs. In: Du DZ, Smith JM, Rubinstein JH (eds) Advances in Steiner tree. Kluwer, Boston, pp 283–323
Zurück zum Zitat Xiong Y, Golden B, Wasil E (2006) Improved heuristics for the minimum labelling spanning tree problem. IEEE Trans Evol Comput 10(6):700–703CrossRef Xiong Y, Golden B, Wasil E (2006) Improved heuristics for the minimum labelling spanning tree problem. IEEE Trans Evol Comput 10(6):700–703CrossRef
Zurück zum Zitat Yang S, Wang M, Jiao L (2004) A Quantum Particle Swarm Optimization. In: Proceedings of CEC2004, the congress on evolutionary computing, vol 1, pp 320–324 Yang S, Wang M, Jiao L (2004) A Quantum Particle Swarm Optimization. In: Proceedings of CEC2004, the congress on evolutionary computing, vol 1, pp 320–324
Metadaten
Titel
Discrete Particle Swarm Optimization for the minimum labelling Steiner tree problem
verfasst von
Sergio Consoli
José Andrés Moreno-Pérez
Kenneth Darby-Dowman
Nenad Mladenović
Publikationsdatum
01.03.2010
Verlag
Springer Netherlands
Erschienen in
Natural Computing / Ausgabe 1/2010
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-009-9137-9

Weitere Artikel der Ausgabe 1/2010

Natural Computing 1/2010 Zur Ausgabe

EditorialNotes

Foreword