Skip to main content
Top

2018 | OriginalPaper | Chapter

A New Binary Encoding Scheme in Genetic Algorithm for Solving the Capacitated Vehicle Routing Problem

Authors : Stanley Jefferson de A. Lima, Sidnei Alves de Araújo

Published in: Bioinspired Optimization Methods and Their Applications

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the last decades the Vehicle Routing Problem (VRP) and its ramifications, including the Capacitated Vehicle Routing Problem (CVRP), have attracted the attention of researchers mainly because their presence in many practical situations. Due to the difficulties encountered in their solutions, such problems are usually solved by means of heuristic and metaheuristics algorithms, among which is the Genetic Algorithm (GA). The solution of CVRP using GA requires a solution encoding step, which demands a special care to avoid high computational cost and to ensure population diversity that is essential for the convergence of GA to global optimal or sub-optimal solutions. In this work, we investigated a new binary encoding scheme employed by GA for solving the CVRP. Conducted experiments demonstrated that the proposed binary encoding is able to provide good solutions and is suitable for practical applications that require low computational cost.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference Dalfard, V.M., Kaveh, M., Nosratian, N.E.: Two meta-heuristic algorithms for two-echelon location-routing problem with vehicle fleet capacity and maximum route length constraints. Neural Comput. Appl. 23(7–8), 2341–2349 (2013)CrossRef Dalfard, V.M., Kaveh, M., Nosratian, N.E.: Two meta-heuristic algorithms for two-echelon location-routing problem with vehicle fleet capacity and maximum route length constraints. Neural Comput. Appl. 23(7–8), 2341–2349 (2013)CrossRef
2.
go back to reference Nazif, H., Lee, L.S.: Optimised crossover genetic algorithm for capacitated vehicle routing problem. Appl. Math. Model. 36(5), 2110–2117 (2012)MathSciNetCrossRef Nazif, H., Lee, L.S.: Optimised crossover genetic algorithm for capacitated vehicle routing problem. Appl. Math. Model. 36(5), 2110–2117 (2012)MathSciNetCrossRef
3.
go back to reference Vieira, H.P.: Metaheuristic to solve vehicles routing problems with time windows (2013) Vieira, H.P.: Metaheuristic to solve vehicles routing problems with time windows (2013)
4.
go back to reference Lau, H.C., Chan, T., Tsui, W., Pang, W.: Application of genetic algorithms to solve the multidepot vehicle routing problem. IEEE Trans. Autom. Sci. Eng. 7(2), 383–392 (2010)CrossRef Lau, H.C., Chan, T., Tsui, W., Pang, W.: Application of genetic algorithms to solve the multidepot vehicle routing problem. IEEE Trans. Autom. Sci. Eng. 7(2), 383–392 (2010)CrossRef
5.
go back to reference Bermudez, C., Graglia, P., Stark, N., Salto, C., Alfonso, H.: Comparison of recombination operators in panmictic and cellular GAs to solve a vehicle routing problem. Intel. Artif. Rev. Iberoam. de Intel. Artif. 14(46), 34–44 (2010) Bermudez, C., Graglia, P., Stark, N., Salto, C., Alfonso, H.: Comparison of recombination operators in panmictic and cellular GAs to solve a vehicle routing problem. Intel. Artif. Rev. Iberoam. de Intel. Artif. 14(46), 34–44 (2010)
6.
go back to reference Wang, C.H., Lu, J.Z.: An effective evolutionary algorithm for the practical capacitated vehicle routing problems. J. Intell. Manuf. 21(4), 363–375 (2010)MathSciNetCrossRef Wang, C.H., Lu, J.Z.: An effective evolutionary algorithm for the practical capacitated vehicle routing problems. J. Intell. Manuf. 21(4), 363–375 (2010)MathSciNetCrossRef
7.
go back to reference Tasan, A.S., Gen, M.: A genetic algorithm based approach to vehicle routing problem with simultaneous pick-up and deliveries. Comput. Ind. Eng. 62(3), 755–761 (2012)CrossRef Tasan, A.S., Gen, M.: A genetic algorithm based approach to vehicle routing problem with simultaneous pick-up and deliveries. Comput. Ind. Eng. 62(3), 755–761 (2012)CrossRef
8.
go back to reference Ursani, Z., Essam, D., Cornforth, D., Stocker, R.: Localized genetic algorithm for vehicle routing problem with time windows. Appl. Soft Comput. 11(8), 5375–5390 (2011)CrossRef Ursani, Z., Essam, D., Cornforth, D., Stocker, R.: Localized genetic algorithm for vehicle routing problem with time windows. Appl. Soft Comput. 11(8), 5375–5390 (2011)CrossRef
9.
go back to reference Lu, C.C., Vincent, F.Y.: Data envelopment analysis for evaluating the efficiency of genetic algorithms on solving the vehicle routing problem with soft time windows. Comput. Ind. Eng. 63(2), 520–529 (2012)CrossRef Lu, C.C., Vincent, F.Y.: Data envelopment analysis for evaluating the efficiency of genetic algorithms on solving the vehicle routing problem with soft time windows. Comput. Ind. Eng. 63(2), 520–529 (2012)CrossRef
10.
go back to reference Kuo, R., Zulvia, F.E., Suryadi, K.: Hybrid particle swarm optimization with genetic algorithm for solving capacitated vehicle routing problem with fuzzy demand – a case study on garbage collection system. Appl. Math. Comput. 219(5), 2574–2588 (2012)MathSciNetMATH Kuo, R., Zulvia, F.E., Suryadi, K.: Hybrid particle swarm optimization with genetic algorithm for solving capacitated vehicle routing problem with fuzzy demand – a case study on garbage collection system. Appl. Math. Comput. 219(5), 2574–2588 (2012)MathSciNetMATH
11.
go back to reference Vidal, T., Crainic, T.G., Gendreau, M., Lahrichi, N., Rei, W.: A hybrid genetic algorithm for multidepot and periodic vehicle routing problems. Oper. Res. 60(3), 611–624 (2012)MathSciNetCrossRef Vidal, T., Crainic, T.G., Gendreau, M., Lahrichi, N., Rei, W.: A hybrid genetic algorithm for multidepot and periodic vehicle routing problems. Oper. Res. 60(3), 611–624 (2012)MathSciNetCrossRef
12.
go back to reference Reiter, P., Gutjahr, W.J.: Exact hybrid algorithms for solving a bi-objective vehicle routing problem. Cent. Eur. J. Oper. Res. 20(1), 19–43 (2012)MathSciNetCrossRef Reiter, P., Gutjahr, W.J.: Exact hybrid algorithms for solving a bi-objective vehicle routing problem. Cent. Eur. J. Oper. Res. 20(1), 19–43 (2012)MathSciNetCrossRef
13.
go back to reference Osaba, E., Diaz, F., Onieva, E.: Golden ball: a novel meta-heuristic to solve combinatorial optimization problems based on soccer concepts. Appl. Intell. 41(1), 145–166 (2014)CrossRef Osaba, E., Diaz, F., Onieva, E.: Golden ball: a novel meta-heuristic to solve combinatorial optimization problems based on soccer concepts. Appl. Intell. 41(1), 145–166 (2014)CrossRef
14.
go back to reference Lima, S.J.A., Araújo, S.A., Schimit, P.H.: A hybrid approach based on genetic algorithm and nearest neighbor heuristic for solving the capacitated vehicle routing problem. Acta Scientiarum Technology (2018) Lima, S.J.A., Araújo, S.A., Schimit, P.H.: A hybrid approach based on genetic algorithm and nearest neighbor heuristic for solving the capacitated vehicle routing problem. Acta Scientiarum Technology (2018)
15.
go back to reference Laporte, G.: The vehicle routing problem: an overview of exact and approximate algorithms. Eur. J. Oper. Res. 59(3), 345–358 (1992)CrossRef Laporte, G.: The vehicle routing problem: an overview of exact and approximate algorithms. Eur. J. Oper. Res. 59(3), 345–358 (1992)CrossRef
16.
go back to reference Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)MATH Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)MATH
17.
go back to reference Banzhaf, W., Nordin, P., Keller, R.E., Francone, F.D.: Genetic Programming: An Introduction, vol. 1. Morgan Kaufmann, San Francisco (1998)CrossRef Banzhaf, W., Nordin, P., Keller, R.E., Francone, F.D.: Genetic Programming: An Introduction, vol. 1. Morgan Kaufmann, San Francisco (1998)CrossRef
18.
go back to reference Brooker, R.: Concepts of Genetics. McGraw-Hill Higher Education, New York (2012) Brooker, R.: Concepts of Genetics. McGraw-Hill Higher Education, New York (2012)
19.
go back to reference Kumar, R.: Novel encoding scheme in genetic algorithms for better fitness. Int. J. Eng. Adv. Technol. 1(6), 214–219 (2012) Kumar, R.: Novel encoding scheme in genetic algorithms for better fitness. Int. J. Eng. Adv. Technol. 1(6), 214–219 (2012)
20.
go back to reference Kumar, A.: Encoding schemes in genetic algorithm. Int. J. Adv. Res. IT Eng. 2(3), 1–7 (2013) Kumar, A.: Encoding schemes in genetic algorithm. Int. J. Adv. Res. IT Eng. 2(3), 1–7 (2013)
21.
go back to reference Wall, M.: GAlib: a C++ library of genetic algorithm components (1996) Wall, M.: GAlib: a C++ library of genetic algorithm components (1996)
22.
go back to reference Grassi, F.: Optimization by genetic algorithms of the sequencing of production orders in job shop environments. Master’s Dissertation, Industrial Engineering Post Graduation Program, Universidade Nove de Julho (UNINOVE) (2014) Grassi, F.: Optimization by genetic algorithms of the sequencing of production orders in job shop environments. Master’s Dissertation, Industrial Engineering Post Graduation Program, Universidade Nove de Julho (UNINOVE) (2014)
23.
go back to reference Reinelt, G., Wenger, K.M.: Maximally violated mod-p cuts for the capacitated vehicle-routing problem. INFORMS J. Comput. 18(4), 466–479 (2006)MathSciNetCrossRef Reinelt, G., Wenger, K.M.: Maximally violated mod-p cuts for the capacitated vehicle-routing problem. INFORMS J. Comput. 18(4), 466–479 (2006)MathSciNetCrossRef
24.
go back to reference Ralphs, T., Pulleyblank, W., Trotter Jr., L.: On capacitated vehicle routing. Problem, Mathematical Programming (1998) Ralphs, T., Pulleyblank, W., Trotter Jr., L.: On capacitated vehicle routing. Problem, Mathematical Programming (1998)
Metadata
Title
A New Binary Encoding Scheme in Genetic Algorithm for Solving the Capacitated Vehicle Routing Problem
Authors
Stanley Jefferson de A. Lima
Sidnei Alves de Araújo
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-91641-5_15

Premium Partner