Abstract
The Multi-Offspring Genetic Algorithm (MOGA) is a GA variant that was proposed specifically for the Traveling Salesman Problem (TSP). Like the Base GA (BGA), the first genetic algorithm designed to solve the TSP, MOGA has a crossover operator which is non trivial to implement. This paper proposes a copy and paste crossover operator for the multi-offsprings genetic algorithm which is easy to implement and also effective in generating a family of diverse offsprings. The algorithm named Copy and Paste Multi-offspring Genetic Algorithm (CP-MOGA) from the crossover operator design. Crossover and mutation in CP-MOGA is designed to cater for exploration and exploitation by carefully choosing a gene insertion section and mutation point such that two parents produce two predominantly exploratory, two predominantly exploitative and two moderately exploratory and exploitative offsprings, thereby balancing the exploration exploitation trade-off. Simulation results on twelve instances of the Traveling Salesman Problem show that the proposed algorithm outperforms MOGA and BGA in most cases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Graey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. Freeman W.H, San Francisco (1979)
Papadimitriou, C.H., Stegilitz, K.: Combinatorial Optimization: Algorithms and Complexity. Prentice Hall of India Private Limited, India (1997)
NP-hardness. https://en.wikipedia.org/wiki/NP-hardness. Accessed 27 Jan 2022
Philip, A., Taofiki, A.A., Kehinde, O.: A genetic algorithm for solving traveling salesman problem. Int. J. Adv. Comput. Sci. Appl. 2(1), 26–29 (2011)
Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., Shmoys, D.B.: The Traveling Sales-man Problem: A Guided Tour of Combinatorial Optimization. Wiley, Chichester (1985)
Wang, J., Ersoy, O.K., He, M., Wang, F.: Multi-ospring genetic algorithm and its application to the traveling salesman problem. Appl. Soft Comput. 43(1), 415–423 (2016)
Xin, J., Zhong, J., Yang, F., Cui, Y., Sheng, J.: An improved genetic algorithm for path-planning of unmanned surface vehicle. Sensors (Basel) 19(11), 2640 (2019)
Ha, Q.M., Deville, Y., Pham, Q.D., Hà, M.H.: A hybrid genetic algorithm for the traveling salesman problem with drone. J. Heuristics 26(2), 219–247 (2019). https://doi.org/10.1007/s10732-019-09431-y
Liu, F., Zeng, G.: Study of genetic algorithm with reinforcement learning to solve the TSP. Expert Syst. Appl. 36(3), 6995–7001 (2009)
Kivelevitch, E., Cohen, K., Kumar, M.: A market-based solution to the multiple traveling salesmen problem. J. Intell. Robot. Syst. 72, 21–40 (2013)
Murray, C.C., Chu, A.G.: The flying sidekick traveling salesman problem: optimization of drone-assisted parcel delivery. Transp. Res. Part C Emerg. Technol. 54, 86–109 (2015)
Agatz, N., Bouman, P., Schmidt, M.: Optimization approaches for the traveling salesman problem with drone. Transp. Sci. 52, 965–981 (2018)
Kirkpatrick, S., Gelatt, C.D., Vechi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983). New series
Korostensky, C., Gonnet, G.H.: Using traveling salesman problem algorithms for evolutionary tree construction. Bioinformatics 16(7), 619–627 (2000)
Roberti, R., Wen, M.: The electric traveling salesman problem with time windows. Transp. Res. Part E Logist. Transp. Rev. 89(7), 32–52 (2016)
Ruiz, E., Albareda-Sambola, M., Fern’andez, E., Resende, M.G.C.: A biased random-key genetic algorithm for the capacitated minimum spanning tree problem. Comput. Oper. Res. 57, 95–108 (2015)
Winkenbach, M., Parks, S., Noszek, J.: Technical Proceedings of the Amazon Last Mile Routing Research Challenge. https://dspace.mit.edu/handle/1721.1/131235. Accessed 02 Sep 2021
Park, H., Son, D., Koo, B., Jeong, B.: Waiting strategy for the vehicle routing problem with simultaneous pickup and delivery using genetic algorithm. Expert Syst. Appl. 165, 113959 (2021)
Liu, S.: A powerful genetic algorithm for traveling salesman problem. Preprint arXiv:1402.4699 (2014)
Seniw, D.: A genetic algorithm for the traveling salesman problem. M.Sc. thesis, University of North Carolina, at Charlotte (1996). http://www.heatonresearch.com/articales/65/page1.html
Acknowledgment
This work is partially supported by The National Natural Science Foundation of China (Grants Nos. 71901152, 71971143), Guangdong innovation team project “intelligent management and cross innovation” (2021WCXTD002), Scientific Research Team Project of Shenzhen Institute of Information Technology (SZIIT2019KJ022), and Guangdong Basic and Applied Basic Research Foundation (Project No. 2019A1515011392).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Nature Switzerland AG
About this paper
Cite this paper
Tungom, C.E., Niu, B., Xing, T., Yuan, J., Wang, H. (2022). Copy and Paste: A Multi-offspring Genetic Algorithm Crossover Operator for the Traveling Salesman Problem. In: Tan, Y., Shi, Y., Niu, B. (eds) Advances in Swarm Intelligence. ICSI 2022. Lecture Notes in Computer Science, vol 13344. Springer, Cham. https://doi.org/10.1007/978-3-031-09677-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-031-09677-8_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-09676-1
Online ISBN: 978-3-031-09677-8
eBook Packages: Computer ScienceComputer Science (R0)