Skip to main content

2019 | OriginalPaper | Buchkapitel

6. Evolving Robust Networks Using Evolutionary Algorithms

verfasst von : Jing Liu, Hussein A. Abbass, Kay Chen Tan

Erschienen in: Evolutionary Computation and Complex Networks

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

One extremely important aspect of networks is their capability to withstand failures and fluctuations in functionality of their nodes and links, namely their robustness. In reality, failures may occur in many different ways and to a different degree, depending on the complexity of the system under examination. Thus, the robustness of networks is of great importance in guaranteeing the security of network systems. In this chapter, we first introduce existing work on network robustness analysis and widely used network robustness measures, and then introduce optimization algorithms designed to improve network robustness, where both single-objective and multi-objective EAs are introduced.

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 Adamic, L.A., Huberman, B.A.: Power-law distribution of the world wide web. Science 287(5461), 2115–2115 (2000)CrossRef Adamic, L.A., Huberman, B.A.: Power-law distribution of the world wide web. Science 287(5461), 2115–2115 (2000)CrossRef
2.
3.
Zurück zum Zitat Albert, R., Jeong, H., Barabási, A.L.: Error and attack tolerance of complex networks. Nature 406, 378–382 (2000)CrossRef Albert, R., Jeong, H., Barabási, A.L.: Error and attack tolerance of complex networks. Nature 406, 378–382 (2000)CrossRef
4.
Zurück zum Zitat Barabási, A.L., Albert, R.: Emergence of scaling in random networks (1999) Barabási, A.L., Albert, R.: Emergence of scaling in random networks (1999)
5.
Zurück zum Zitat Bauer, D., Boesch, F., Suffel, C., Tindell, R.: Connectivity extremal problems and the design of reliable probabilistic networks. In: The Theory and Application of Graphs, pp. 89–98 (1981) Bauer, D., Boesch, F., Suffel, C., Tindell, R.: Connectivity extremal problems and the design of reliable probabilistic networks. In: The Theory and Application of Graphs, pp. 89–98 (1981)
6.
Zurück zum Zitat Boesch, F., Frisch, I.: On the smallest disconnecting set in a graph. IEEE Trans. Circ. Theor. 15(3), 286–288 (1968)MathSciNetCrossRef Boesch, F., Frisch, I.: On the smallest disconnecting set in a graph. IEEE Trans. Circ. Theor. 15(3), 286–288 (1968)MathSciNetCrossRef
7.
Zurück zum Zitat Bonacich, P.: Some unique properties of eigenvector centrality. Soc. Netw. 29(4), 555–564 (2007)CrossRef Bonacich, P.: Some unique properties of eigenvector centrality. Soc. Netw. 29(4), 555–564 (2007)CrossRef
9.
Zurück zum Zitat Brandes, U.: On variants of shortest-path betweenness centrality and their generic computation. Soc. Netw. 30(2), 136–145 (2008)CrossRef Brandes, U.: On variants of shortest-path betweenness centrality and their generic computation. Soc. Netw. 30(2), 136–145 (2008)CrossRef
10.
Zurück zum Zitat Buesser, P., Daolio, F., Tomassini, M.: Optimizing the robustness of scale-free networks with simulated annealing, 167–176 (2011) Buesser, P., Daolio, F., Tomassini, M.: Optimizing the robustness of scale-free networks with simulated annealing, 167–176 (2011)
11.
Zurück zum Zitat Cohen, R., Erez, K., Ben-Avraham, D., Havlin, S.: Resilience of the internet to random breakdowns. Phys. Rev. Lett. 85(21), 4626 (2000)CrossRef Cohen, R., Erez, K., Ben-Avraham, D., Havlin, S.: Resilience of the internet to random breakdowns. Phys. Rev. Lett. 85(21), 4626 (2000)CrossRef
12.
Zurück zum Zitat Cohen, R., Erez, K., Ben-Avraham, D., Havlin, S.: Breakdown of the internet under intentional attack. Phys. Rev. Lett. 86(16), 3682 (2001)CrossRef Cohen, R., Erez, K., Ben-Avraham, D., Havlin, S.: Breakdown of the internet under intentional attack. Phys. Rev. Lett. 86(16), 3682 (2001)CrossRef
13.
Zurück zum Zitat Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)CrossRef Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)CrossRef
14.
Zurück zum Zitat Dorogovtsev, S.N., Mendes, J.F.: Evolution of networks: from biological nets to the internet and WWW (2013) Dorogovtsev, S.N., Mendes, J.F.: Evolution of networks: from biological nets to the internet and WWW (2013)
15.
Zurück zum Zitat Estrada, E.: Network robustness to targeted attacks. The interplay of expansibility and degree distribution. Eur. Phys. J. B Condens. Matter Complex Syst. 52(4), 563–574 (2006)MathSciNetCrossRef Estrada, E.: Network robustness to targeted attacks. The interplay of expansibility and degree distribution. Eur. Phys. J. B Condens. Matter Complex Syst. 52(4), 563–574 (2006)MathSciNetCrossRef
16.
Zurück zum Zitat Estrada, E., Higham, D.J., Hatano, N.: Communicability betweenness in complex networks. Phys. A Stat. Mech. Appl. 388(5), 764–774 (2009)CrossRef Estrada, E., Higham, D.J., Hatano, N.: Communicability betweenness in complex networks. Phys. A Stat. Mech. Appl. 388(5), 764–774 (2009)CrossRef
17.
Zurück zum Zitat Fiedler, M.: Algebraic connectivity of graphs. Czech. Math. J. 23(2), 298–305 (1973)MATH Fiedler, M.: Algebraic connectivity of graphs. Czech. Math. J. 23(2), 298–305 (1973)MATH
18.
Zurück zum Zitat Frank, H., Frisch, I.: Analysis and design of survivable networks. IEEE Trans. Commun. Technol. 18(5), 501–519 (1970)MathSciNetCrossRef Frank, H., Frisch, I.: Analysis and design of survivable networks. IEEE Trans. Commun. Technol. 18(5), 501–519 (1970)MathSciNetCrossRef
19.
Zurück zum Zitat Hage, P., Harary, F.: Eccentricity and centrality in networks. Soc. Netw. 17(1), 57–63 (1995)CrossRef Hage, P., Harary, F.: Eccentricity and centrality in networks. Soc. Netw. 17(1), 57–63 (1995)CrossRef
21.
Zurück zum Zitat Herrmann, H.J., Schneider, C.M., Moreira, A.A., Andrade Jr, J.S., Havlin, S.: Onion-like network topology enhances robustness against malicious attacks. J. Stat. Mech. Theory Exp. 2011(01) (2011). (DOI P01027)CrossRef Herrmann, H.J., Schneider, C.M., Moreira, A.A., Andrade Jr, J.S., Havlin, S.: Onion-like network topology enhances robustness against malicious attacks. J. Stat. Mech. Theory Exp. 2011(01) (2011). (DOI P01027)CrossRef
22.
Zurück zum Zitat Krasnogor, N., Smith, J.: A tutorial for competent memetic algorithms: model, taxonomy, and design issues. IEEE Trans. Evol. Comput. 9(5), 474–488 (2005)CrossRef Krasnogor, N., Smith, J.: A tutorial for competent memetic algorithms: model, taxonomy, and design issues. IEEE Trans. Evol. Comput. 9(5), 474–488 (2005)CrossRef
23.
Zurück zum Zitat Latora, V., Marchiori, M.: Efficient behavior of small-world networks. Phys. Rev. Lett. 87(19) (2001). (DOI 198701) Latora, V., Marchiori, M.: Efficient behavior of small-world networks. Phys. Rev. Lett. 87(19) (2001). (DOI 198701)
24.
Zurück zum Zitat Louzada, V.H., Daolio, F., Herrmann, H.J., Tomassini, M.: Smart rewiring for network robustness. J. Complex Netw. 1(2), 150–159 (2013)CrossRef Louzada, V.H., Daolio, F., Herrmann, H.J., Tomassini, M.: Smart rewiring for network robustness. J. Complex Netw. 1(2), 150–159 (2013)CrossRef
25.
Zurück zum Zitat Louzada, V.H., Daolio, F., Herrmann, H.J., Tomassini, M.: Generating robust and efficient networks under targeted attacks. In: Propagation Phenomena in Real World Networks, pp. 215–224. Springer (2015) Louzada, V.H., Daolio, F., Herrmann, H.J., Tomassini, M.: Generating robust and efficient networks under targeted attacks. In: Propagation Phenomena in Real World Networks, pp. 215–224. Springer (2015)
26.
Zurück zum Zitat Moscato, P., et al.: On evolution, search, optimization, genetic algorithms and martial arts: towards memetic algorithms. Caltech concurrent computation program, C3P Report, vol. 826 (1989) Moscato, P., et al.: On evolution, search, optimization, genetic algorithms and martial arts: towards memetic algorithms. Caltech concurrent computation program, C3P Report, vol. 826 (1989)
27.
Zurück zum Zitat Newman, M.E.: Mixing patterns in networks. Phys. Rev. E 67(2) (2003) Newman, M.E.: Mixing patterns in networks. Phys. Rev. E 67(2) (2003)
28.
Zurück zum Zitat Ong, Y.S., Keane, A.J.: Meta-lamarckian learning in memetic algorithms. IEEE Trans. Evol. Comput. 8(2), 99–110 (2004)CrossRef Ong, Y.S., Keane, A.J.: Meta-lamarckian learning in memetic algorithms. IEEE Trans. Evol. Comput. 8(2), 99–110 (2004)CrossRef
29.
Zurück zum Zitat Paul, G., Sreenivasan, S., Stanley, H.E.: Resilience of complex networks to random breakdown. Phys. Rev. E 72(5) (2005). (DOI 056130) Paul, G., Sreenivasan, S., Stanley, H.E.: Resilience of complex networks to random breakdown. Phys. Rev. E 72(5) (2005). (DOI 056130)
30.
Zurück zum Zitat Dawkins, R.: The Selfish Gene. Oxford University Press (1976) Dawkins, R.: The Selfish Gene. Oxford University Press (1976)
31.
Zurück zum Zitat Sampaio Filho, C.I., Moreira, A.A., Andrade, R.F., Herrmann, H.J., Andrade Jr, J.S.: Mandala networks: ultra-small-world and highly sparse graphs. Scientific reports, vol. 5 (2015) Sampaio Filho, C.I., Moreira, A.A., Andrade, R.F., Herrmann, H.J., Andrade Jr, J.S.: Mandala networks: ultra-small-world and highly sparse graphs. Scientific reports, vol. 5 (2015)
32.
Zurück zum Zitat Schneider, C.M., Moreira, A.A., Andrade, J.S., Havlin, S., Herrmann, H.J.: Mitigation of malicious attacks on networks. In: Proceedings of the National Academy of Sciences, vol. 108, pp. 3838–3841. National Acad Sciences (2011) Schneider, C.M., Moreira, A.A., Andrade, J.S., Havlin, S., Herrmann, H.J.: Mitigation of malicious attacks on networks. In: Proceedings of the National Academy of Sciences, vol. 108, pp. 3838–3841. National Acad Sciences (2011)
33.
Zurück zum Zitat Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393(6684), 440 (1998)CrossRef Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393(6684), 440 (1998)CrossRef
34.
Zurück zum Zitat Wu, J., Barahona, M., Tan, Y.J., Deng, H.Z.: Spectral measure of structural robustness in complex networks. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 41(6), 1244–1252 (2011)CrossRef Wu, J., Barahona, M., Tan, Y.J., Deng, H.Z.: Spectral measure of structural robustness in complex networks. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 41(6), 1244–1252 (2011)CrossRef
35.
Zurück zum Zitat Xiao, S., Xiao, G., Cheng, T., Ma, S., Fu, X., Soh, H.: Robustness of scale-free networks under rewiring operations. EPL (Europhys. Lett.) 89(3) (2010). (DOI 38002)CrossRef Xiao, S., Xiao, G., Cheng, T., Ma, S., Fu, X., Soh, H.: Robustness of scale-free networks under rewiring operations. EPL (Europhys. Lett.) 89(3) (2010). (DOI 38002)CrossRef
36.
Zurück zum Zitat Zeng, A., Liu, W.: Enhancing network robustness against malicious attacks. Phys. Rev. E 85(6) (2012). (DOI 066130) Zeng, A., Liu, W.: Enhancing network robustness against malicious attacks. Phys. Rev. E 85(6) (2012). (DOI 066130)
37.
Zurück zum Zitat Zhou, M., Liu, J.: A memetic algorithm for enhancing the robustness of scale-free networks against malicious attacks. Phys. A Stat. Mech. Appl. 410, 131–143 (2014)CrossRef Zhou, M., Liu, J.: A memetic algorithm for enhancing the robustness of scale-free networks against malicious attacks. Phys. A Stat. Mech. Appl. 410, 131–143 (2014)CrossRef
38.
Zurück zum Zitat Zhou, M., Liu, J.: A two-phase multiobjective evolutionary algorithm for enhancing the robustness of scale-free networks against multiple malicious attacks. IEEE Trans. Cybern. 47(2), 539–552 (2017) Zhou, M., Liu, J.: A two-phase multiobjective evolutionary algorithm for enhancing the robustness of scale-free networks against multiple malicious attacks. IEEE Trans. Cybern. 47(2), 539–552 (2017)
Metadaten
Titel
Evolving Robust Networks Using Evolutionary Algorithms
verfasst von
Jing Liu
Hussein A. Abbass
Kay Chen Tan
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-60000-0_6

Neuer Inhalt