Skip to main content
Erschienen in: Neural Computing and Applications 4/2015

01.05.2015 | Original Article

A chaotic artificial immune system optimisation algorithm for solving global continuous optimisation problems

verfasst von: A. Rezaee Jordehi

Erschienen in: Neural Computing and Applications | Ausgabe 4/2015

Einloggen

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

search-config
loading …

Abstract

Artificial immune system algorithm (AIS) is a population-based global heuristic optimisation algorithm. It is inspired by immune system of human bodies. Alleviating premature convergence problem of heuristic optimisation algorithms is a hot research area. In this study, chaotic-based strategies are embedded into AIS to alleviate its premature convergence problem. Four various chaotic-based AIS strategies with five different chaotic map functions (totally 20 cases) are examined, and the best one is chosen as the best chaotic paradigm for AIS. The results of applying the proposed chaotic AIS to a variety of unimodal and multimodal benchmark functions reveal that it offers high-quality solutions. It significantly outperforms conventional AIS and gravitational search algorithm. The outperformance is both in terms of accuracy of solutions and stability in finding accurate solutions.

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

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!

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+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!

Literatur
1.
Zurück zum Zitat Altun A, Şahman M (2013) Cost optimization of mixed feeds with the particle swarm optimization method. Neural Comput Appl 22:383–390CrossRef Altun A, Şahman M (2013) Cost optimization of mixed feeds with the particle swarm optimization method. Neural Comput Appl 22:383–390CrossRef
2.
Zurück zum Zitat Yu S, Zhu K, He Y (2012) A hybrid intelligent optimization method for multiple metal grades optimization. Neural Comput Appl 21:1391–1402CrossRef Yu S, Zhu K, He Y (2012) A hybrid intelligent optimization method for multiple metal grades optimization. Neural Comput Appl 21:1391–1402CrossRef
3.
Zurück zum Zitat Jordehi AR, Jasni J, Abd Wahab N, Kadir MZ, Javadi MS (2015) Enhanced leader PSO (ELPSO): a new algorithm for allocating distributed TCSC’s in power systems. Int J Electr Power Energy Syst 64:771–784CrossRef Jordehi AR, Jasni J, Abd Wahab N, Kadir MZ, Javadi MS (2015) Enhanced leader PSO (ELPSO): a new algorithm for allocating distributed TCSC’s in power systems. Int J Electr Power Energy Syst 64:771–784CrossRef
4.
Zurück zum Zitat Ahandani MA, Alavi-Rad H (2014) Opposition-based learning in shuffled frog leaping: An application for parameter identification. Inform Sci (in press) Ahandani MA, Alavi-Rad H (2014) Opposition-based learning in shuffled frog leaping: An application for parameter identification. Inform Sci (in press)
5.
Zurück zum Zitat Patel A, Taghavi M, Bakhtiyari K, Celestino JúNior J (2013) An intrusion detection and prevention system in cloud computing: a systematic review. J Netw Comput Appl 36:25–41CrossRef Patel A, Taghavi M, Bakhtiyari K, Celestino JúNior J (2013) An intrusion detection and prevention system in cloud computing: a systematic review. J Netw Comput Appl 36:25–41CrossRef
6.
Zurück zum Zitat Patel A, Bakhtiyari K, Taghavi M (2011) Evaluation of cheating detection methods in academic writings. Libr Hi Tech 29:623–640CrossRef Patel A, Bakhtiyari K, Taghavi M (2011) Evaluation of cheating detection methods in academic writings. Libr Hi Tech 29:623–640CrossRef
7.
Zurück zum Zitat Jordehi AR, Joorabian M (2011) Optimal placement of Multi-type FACTS devices in power systems using evolution strategies. In: Power engineering and optimization conference (PEOCO), 2011 5th International, IEEE, 2011, pp 352–357 Jordehi AR, Joorabian M (2011) Optimal placement of Multi-type FACTS devices in power systems using evolution strategies. In: Power engineering and optimization conference (PEOCO), 2011 5th International, IEEE, 2011, pp 352–357
8.
Zurück zum Zitat Jordehi AR, Jasni J, Abdul Wahab NI, Kadir A, Abidin MZ (2013) Particle swarm optimisation applications in FACTS optimisation problem. In: Power engineering and optimization conference (PEOCO), 2013 IEEE 7th International, IEEE, 2013, pp 193–198 Jordehi AR, Jasni J, Abdul Wahab NI, Kadir A, Abidin MZ (2013) Particle swarm optimisation applications in FACTS optimisation problem. In: Power engineering and optimization conference (PEOCO), 2013 IEEE 7th International, IEEE, 2013, pp 193–198
9.
Zurück zum Zitat Jordehi R (2011) Heuristic methods for solution of FACTS optimization problem in power systems. In: 2011 IEEE student conference on research and development, 2011, pp 30–35 Jordehi R (2011) Heuristic methods for solution of FACTS optimization problem in power systems. In: 2011 IEEE student conference on research and development, 2011, pp 30–35
10.
Zurück zum Zitat Jordehi AR, Jasni j (2013) Parameter selection in particle swarm optimisation: a survey. J Exp Theor Artif Intell 25:527–542CrossRef Jordehi AR, Jasni j (2013) Parameter selection in particle swarm optimisation: a survey. J Exp Theor Artif Intell 25:527–542CrossRef
11.
Zurück zum Zitat Jordehi AR, Jasni J (2011) A comprehensive review on methods for solving FACTS optimization problem in power systems. Int Rev Electr Eng 6(4):1916–1926 Jordehi AR, Jasni J (2011) A comprehensive review on methods for solving FACTS optimization problem in power systems. Int Rev Electr Eng 6(4):1916–1926
12.
Zurück zum Zitat Jordehi AR, Jasni J (2013) Particle swarm optimisation for discrete optimisation problems: a review. Artif Intell Rev (in press) Jordehi AR, Jasni J (2013) Particle swarm optimisation for discrete optimisation problems: a review. Artif Intell Rev (in press)
13.
Zurück zum Zitat Jordehi AR, Jasni J (2012) Approaches for FACTS optimization problem in power systems. In: Power engineering and optimization conference (PEDCO) Melaka, Malaysia, 2012 Ieee International, IEEE, 2012, pp 355–360 Jordehi AR, Jasni J (2012) Approaches for FACTS optimization problem in power systems. In: Power engineering and optimization conference (PEDCO) Melaka, Malaysia, 2012 Ieee International, IEEE, 2012, pp 355–360
15.
Zurück zum Zitat Rezaee Jordehi A (2014) Chaotic bat swarm optimisation (CBSO). Appl Soft Comput (in press) Rezaee Jordehi A (2014) Chaotic bat swarm optimisation (CBSO). Appl Soft Comput (in press)
16.
Zurück zum Zitat Wang H, Zhao G, Li N (2012) Training support vector data descriptors using converging linear particle swarm optimization. Neural Comput Appl 21:1099–1105CrossRef Wang H, Zhao G, Li N (2012) Training support vector data descriptors using converging linear particle swarm optimization. Neural Comput Appl 21:1099–1105CrossRef
17.
Zurück zum Zitat de Castro LN, Timmis J (2002) Artificial immune systems: a new computational intelligence approach. Springer, New York de Castro LN, Timmis J (2002) Artificial immune systems: a new computational intelligence approach. Springer, New York
18.
Zurück zum Zitat de Castro LN, Timmis J (2003) Artificial immune systems as a novel soft computing paradigm. Soft Comput 7:526–544CrossRef de Castro LN, Timmis J (2003) Artificial immune systems as a novel soft computing paradigm. Soft Comput 7:526–544CrossRef
19.
Zurück zum Zitat Gao X-Z, Chow M-Y, Pelta D, Timmis J (2010) Theory and applications of artificial immune systems. Neural Comput Appl 19:1101–1102CrossRef Gao X-Z, Chow M-Y, Pelta D, Timmis J (2010) Theory and applications of artificial immune systems. Neural Comput Appl 19:1101–1102CrossRef
20.
Zurück zum Zitat Weckman G, Bondal A, Rinder M, Young W II (2012) Applying a hybrid artificial immune systems to the job shop scheduling problem. Neural Comput Appl 21:1465–1475CrossRef Weckman G, Bondal A, Rinder M, Young W II (2012) Applying a hybrid artificial immune systems to the job shop scheduling problem. Neural Comput Appl 21:1465–1475CrossRef
21.
Zurück zum Zitat Coelho G, Silva A, Zuben F (2010) An immune-inspired multi-objective approach to the reconstruction of phylogenetic trees. Neural Comput Appl 19:1103–1132CrossRef Coelho G, Silva A, Zuben F (2010) An immune-inspired multi-objective approach to the reconstruction of phylogenetic trees. Neural Comput Appl 19:1103–1132CrossRef
22.
Zurück zum Zitat Gao XZ, Ovaska SJ, Wang X, Chow MY (2009) Clonal optimization-based negative selection algorithm with applications in motor fault detection. Neural Comput Appl 18:719–729CrossRef Gao XZ, Ovaska SJ, Wang X, Chow MY (2009) Clonal optimization-based negative selection algorithm with applications in motor fault detection. Neural Comput Appl 18:719–729CrossRef
23.
Zurück zum Zitat Tavazoei MS, Haeri M (2007) Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms. Appl Math Comput 187:1076–1085CrossRefMATHMathSciNet Tavazoei MS, Haeri M (2007) Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms. Appl Math Comput 187:1076–1085CrossRefMATHMathSciNet
24.
Zurück zum Zitat Jordehi AR (2014) A chaotic-based big bang-big crunch algorithm for solving global optimisation problems. Neural Comput Appl 25(6):1329–1335 Jordehi AR (2014) A chaotic-based big bang-big crunch algorithm for solving global optimisation problems. Neural Comput Appl 25(6):1329–1335
25.
Zurück zum Zitat De Castro LN, Von Zuben FJ (2002) Learning and optimization using the clonal selection principle. Evolut Comput IEEE Trans 6:239–251CrossRef De Castro LN, Von Zuben FJ (2002) Learning and optimization using the clonal selection principle. Evolut Comput IEEE Trans 6:239–251CrossRef
26.
Zurück zum Zitat Basu M (2011) Artificial immune system for dynamic economic dispatch. Int J Electr Power Energy Syst 33:131–136CrossRef Basu M (2011) Artificial immune system for dynamic economic dispatch. Int J Electr Power Energy Syst 33:131–136CrossRef
27.
Zurück zum Zitat May RM (1976) Simple mathematical models with very complicated dynamics. Nature 261:459–467CrossRef May RM (1976) Simple mathematical models with very complicated dynamics. Nature 261:459–467CrossRef
28.
Zurück zum Zitat He D, He C, Jiang L-G, Zhu H-W, Hu G-R (2001) Chaotic characteristics of a one-dimensional iterative map with infinite collapses. Circuits Syst I Fundam Theory Appl IEEE Trans 48:900–906CrossRefMATHMathSciNet He D, He C, Jiang L-G, Zhu H-W, Hu G-R (2001) Chaotic characteristics of a one-dimensional iterative map with infinite collapses. Circuits Syst I Fundam Theory Appl IEEE Trans 48:900–906CrossRefMATHMathSciNet
29.
Zurück zum Zitat Tomida AG (2008) Matlab toolbox and GUI for analyzing one-dimensional chaotic maps. In: Computational sciences and its applications, 2008. ICCSA’08. International conference on, IEEE, 2008, pp 321–330 Tomida AG (2008) Matlab toolbox and GUI for analyzing one-dimensional chaotic maps. In: Computational sciences and its applications, 2008. ICCSA’08. International conference on, IEEE, 2008, pp 321–330
Metadaten
Titel
A chaotic artificial immune system optimisation algorithm for solving global continuous optimisation problems
verfasst von
A. Rezaee Jordehi
Publikationsdatum
01.05.2015
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 4/2015
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1751-5

Weitere Artikel der Ausgabe 4/2015

Neural Computing and Applications 4/2015 Zur Ausgabe

Premium Partner