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2018 | OriginalPaper | Buchkapitel

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

verfasst von : Stanley Jefferson de A. Lima, Sidnei Alves de Araújo

Erschienen in: Bioinspired Optimization Methods and Their Applications

Verlag: Springer International Publishing

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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.

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Literatur
1.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat Wall, M.: GAlib: a C++ library of genetic algorithm components (1996) Wall, M.: GAlib: a C++ library of genetic algorithm components (1996)
22.
Zurück zum Zitat 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.
Zurück zum Zitat 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.
Zurück zum Zitat 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)
Metadaten
Titel
A New Binary Encoding Scheme in Genetic Algorithm for Solving the Capacitated Vehicle Routing Problem
verfasst von
Stanley Jefferson de A. Lima
Sidnei Alves de Araújo
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-91641-5_15

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