Skip to main content

2019 | OriginalPaper | Buchkapitel

HMFA: A Hybrid Mutation-Base Firefly Algorithm for Travelling Salesman Problem

verfasst von : Mohammad Saraei, Parvaneh Mansouri

Erschienen in: Fundamental Research in Electrical Engineering

Verlag: Springer Singapore

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

search-config
loading …

Abstract

The Travelling Salesman Problem (TSP) is one of the major problems in graph theory and also is NP-Hard Problem. In this work, by improving the firefly algorithm (MFA), we introduced a new method for solving TSP. The result of the proposed method has compared with the other algorithms such as Firefly algorithm, GA and PSO. The Proposed Method out performs of other algorithms.

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!

Literatur
1.
Zurück zum Zitat Park YB (2001) A hybrid genetic algorithm for the vehicle scheduling problem with due times and time deadlines. Int J Productions Econom 73(2):175–188CrossRef Park YB (2001) A hybrid genetic algorithm for the vehicle scheduling problem with due times and time deadlines. Int J Productions Econom 73(2):175–188CrossRef
2.
Zurück zum Zitat Hu W, Liang H et al (2013) A hybrid chaos-particle swarm optimization algorithm for the vehicle routing problem with time window, 15, 1247–1270 Hu W, Liang H et al (2013) A hybrid chaos-particle swarm optimization algorithm for the vehicle routing problem with time window, 15, 1247–1270
3.
Zurück zum Zitat Varunika A, Amit G, Vibhuti J (2014) An optimal solution to multiple travelling salesperson problem using modified genetic algorithm 3(1) Varunika A, Amit G, Vibhuti J (2014) An optimal solution to multiple travelling salesperson problem using modified genetic algorithm 3(1)
4.
Zurück zum Zitat Chen S-M, Chien C-Y (2011) Parallelized genetic ant colony systems for solving the traveling salesman problem. Expert Syst Appl 38:3873–3883CrossRef Chen S-M, Chien C-Y (2011) Parallelized genetic ant colony systems for solving the traveling salesman problem. Expert Syst Appl 38:3873–3883CrossRef
5.
Zurück zum Zitat Ray SS, Bandyopadhyay S, Pal SK (2004) New Operators of genetic algorithm for travelling salesman problem. In: Proceedings of the 17th international conference on pattern recognition, vol 2, pp 497–500 Ray SS, Bandyopadhyay S, Pal SK (2004) New Operators of genetic algorithm for travelling salesman problem. In: Proceedings of the 17th international conference on pattern recognition, vol 2, pp 497–500
6.
Zurück zum Zitat Yan, X, Zhang1, C (2012) An solve traveling salesman problem using particle swarm optimization algorithm 9(6), No 2 Yan, X, Zhang1, C (2012) An solve traveling salesman problem using particle swarm optimization algorithm 9(6), No 2
7.
Zurück zum Zitat Shi XH, Liang YC, Lee HP, Lu C, Wang QX (2007) Particle swarm optimization-based algorithms for TSP and generalized TSP. Inform Process Lett 103:169–176MathSciNetCrossRef Shi XH, Liang YC, Lee HP, Lu C, Wang QX (2007) Particle swarm optimization-based algorithms for TSP and generalized TSP. Inform Process Lett 103:169–176MathSciNetCrossRef
8.
Zurück zum Zitat Marinakis Y, Marinaki M (2010) A Hybrid multi-swarm particle swarm optimization algorithm for the probabilistic traveling salesman problem. Comput Oper Res 37(3):432–442MathSciNetCrossRef Marinakis Y, Marinaki M (2010) A Hybrid multi-swarm particle swarm optimization algorithm for the probabilistic traveling salesman problem. Comput Oper Res 37(3):432–442MathSciNetCrossRef
9.
Zurück zum Zitat Jie B (2012) A model induced max-min ant colony optimization for asymmetric traveling salesman problem. Appl Soft Comput 1365–1375 Jie B (2012) A model induced max-min ant colony optimization for asymmetric traveling salesman problem. Appl Soft Comput 1365–1375
10.
Zurück zum Zitat Saenphon T, Phimoltares S, Lursinsap C (2014) Combining new fast opposite gradient search with ant colony optimization for solving travelling salesman problem. Eng Appl Artif Intell 35:324–334CrossRef Saenphon T, Phimoltares S, Lursinsap C (2014) Combining new fast opposite gradient search with ant colony optimization for solving travelling salesman problem. Eng Appl Artif Intell 35:324–334CrossRef
11.
Zurück zum Zitat Mahi M, Kaan ÖB, Kodaz H (2015) A new hybrid method based on particle swarm optimization, ant colony optimization and 3-Opt algorithms for traveling salesman problem. Appl Soft Comput 30:484–490CrossRef Mahi M, Kaan ÖB, Kodaz H (2015) A new hybrid method based on particle swarm optimization, ant colony optimization and 3-Opt algorithms for traveling salesman problem. Appl Soft Comput 30:484–490CrossRef
12.
Zurück zum Zitat Nitesh MS, Chawda BV (2013) Memetic algorithm a metaheuristic approach to solve RTSP, IJCSEITR, ISSN 2249-6831, 3(2):183–186 Nitesh MS, Chawda BV (2013) Memetic algorithm a metaheuristic approach to solve RTSP, IJCSEITR, ISSN 2249-6831, 3(2):183–186
13.
Zurück zum Zitat George G, Raimond K (2013) Solving travelling salesman problem using variants of abc algorithm. Int J Comput Sci Appl (TIJCSA) 2(01) ISSN-2278-1080 George G, Raimond K (2013) Solving travelling salesman problem using variants of abc algorithm. Int J Comput Sci Appl (TIJCSA) 2(01) ISSN-2278-1080
14.
Zurück zum Zitat Sobti S, Singla P (2013) Solving travelling salesman problem using artificial bee colony based approach. Int J Eng Res Technol (IJERT) 2(6) Sobti S, Singla P (2013) Solving travelling salesman problem using artificial bee colony based approach. Int J Eng Res Technol (IJERT) 2(6)
15.
Zurück zum Zitat Marinakis Y, Marinaki M, Dounias G (2011) Honey bees mating optimization algorithm for the Euclidean traveling salesman problem. Inf Sci 181(20)MathSciNetCrossRef Marinakis Y, Marinaki M, Dounias G (2011) Honey bees mating optimization algorithm for the Euclidean traveling salesman problem. Inf Sci 181(20)MathSciNetCrossRef
16.
Zurück zum Zitat Pathak N, Tiwari SP (2012) Travelling salesman problem using bee colony with SPV. Int J Soft Comput Eng (IJSCE) 2(3) Pathak N, Tiwari SP (2012) Travelling salesman problem using bee colony with SPV. Int J Soft Comput Eng (IJSCE) 2(3)
17.
Zurück zum Zitat Saranya S, Vaijayanthi RP (2014) Traveling salesman problem solved using bio inspired algorithms (ABC). Int J Innovative Res Comput Commun Eng 2(1) Saranya S, Vaijayanthi RP (2014) Traveling salesman problem solved using bio inspired algorithms (ABC). Int J Innovative Res Comput Commun Eng 2(1)
18.
Zurück zum Zitat Kan J-M. Yi Z (2012) Application of an improved ant colony optimization on generalized traveling salesman problem. Energy Procedia 17(2012):319–325CrossRef Kan J-M. Yi Z (2012) Application of an improved ant colony optimization on generalized traveling salesman problem. Energy Procedia 17(2012):319–325CrossRef
19.
Zurück zum Zitat Rizk-Allah RM, Elsayed M, Ahmed AE (2013) Hybridizing ant colony optimization with firefly algorithm for unconstrained optimization problems. Appl Math Comput 224:473–483MathSciNetMATH Rizk-Allah RM, Elsayed M, Ahmed AE (2013) Hybridizing ant colony optimization with firefly algorithm for unconstrained optimization problems. Appl Math Comput 224:473–483MathSciNetMATH
20.
Zurück zum Zitat Kota L, Jarmai K (2013) Preliminary studies on the fixed destination MMTSP solved by discrete firefly algorithm. Adv Logis Sys 7(2):95–102 Kota L, Jarmai K (2013) Preliminary studies on the fixed destination MMTSP solved by discrete firefly algorithm. Adv Logis Sys 7(2):95–102
21.
Zurück zum Zitat Yang XS (2009) Firefly algorithms for multimodal optimization. In: Stochastic algorithms: foundations and applications, SAGA 2009, Lecture notes in computer sciences, vol 5792, pp 169–178CrossRef Yang XS (2009) Firefly algorithms for multimodal optimization. In: Stochastic algorithms: foundations and applications, SAGA 2009, Lecture notes in computer sciences, vol 5792, pp 169–178CrossRef
Metadaten
Titel
HMFA: A Hybrid Mutation-Base Firefly Algorithm for Travelling Salesman Problem
verfasst von
Mohammad Saraei
Parvaneh Mansouri
Copyright-Jahr
2019
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-8672-4_31

Neuer Inhalt