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A Heuristic Approach for Cluster TSP

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

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Abstract

This investigation took an attempt to solve the cluster traveling salesman problem (CTSP) by the heuristic approach. In this problem, nodes are clustered with given a set of vertices (nodes). Given the set of vertices is divided into a prespecified number of clusters. The size of each cluster is also pre-specified. The main aim is to find the least cost Hamiltonian tour based on the given vertices. Here vertices of each cluster visited contiguously, and the clusters are visited in a specific order. Standard GA is used to find a Hamiltonian path for each cluster. The performance of the algorithm has been examined against two existing algorithms for some symmetric TSPLIB instances of various sizes. The computational results show the proposed algorithm works well among the studied metaheuristics regarding the best result and computational time.

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References

  1. Ahmed, Z.H.: An exact algorithm for the clustered traveling salesman problem. Opsearch 50(2), 215–228 (2013)

    Article  MathSciNet  Google Scholar 

  2. Ahmed, Z.H.: The ordered clustered travelling salesman problem: a hybrid genetic algorithm. Sci. World J. 2014, 13 (2014). Article ID 258207

    Google Scholar 

  3. Pop, P.C., et al.: A novel two-level optimization approach for clustered vehicle routing problem. Comput. Ind. Eng. 115, 304–318 (2018)

    Article  Google Scholar 

  4. Chisman, J.A.: The clustered traveling salesman problem. Comput. Oper. Res. 2(2), 115–119 (1975)

    Article  Google Scholar 

  5. Helsgaun, K.: Solving the clustered traveling salesman problem using the Lin-Kernighan-Helsgaun algorithm, May 2014

    Google Scholar 

  6. Laporte, G., Palekar, U.: Some applications of the clustered travelling salesman problem. J. Oper. Res. Soc. 53(9), 972–976 (2002)

    Article  Google Scholar 

  7. Lokin, F.C.J.: Procedures for travelling salesman problems with additional constraints. Eur. J. Oper. Res. 3(2), 135–141 (1979)

    Article  Google Scholar 

  8. Hertz, A., Gendreau, M., Laporte, G.: The traveling salesman problem with backhauls. Comput. Oper. Res. 23(5), 501–508 (1996)

    Article  MathSciNet  Google Scholar 

  9. Roy, A., Maity, S., Maiti, M.: An intelligent hybrid algorithm for 4-dimensional TSP. J. Ind. Inf. Integr. 5, 39–50 (2017)

    Google Scholar 

  10. Mestria, M.: Heuristic methods using variable neighborhood random local search for the clustered traveling salesman problem. Revista Produo Online 14 (2014). https://doi.org/10.14488/1676-1901.v14i4.1721

    Article  Google Scholar 

  11. Mestria, M.: New hybrid heuristic algorithm for the clustered traveling salesman problem. Comput. Ind. Eng. 116 (2017). https://doi.org/10.1016/j.cie.2017.12.018.

    Article  Google Scholar 

  12. Phuong, H.N., et al.: Solving the clustered traveling salesman problem with d-relaxed priority rule, October 2018

    Google Scholar 

  13. Reinelt, G.: TSPLIBA traveling salesman problem library. ORSA J. Comput. 3, 376–384 (1991). ISSN 0899-1499

    Article  Google Scholar 

  14. Zhang, F., Zhang, Y.F., Nee, A.Y.C.: Using genetic algorithms in process planning for job shop machining. IEEE Trans. Evol. Comput. 1(4), 278–289 (1997)

    Article  Google Scholar 

  15. Zhang, T., et al.: Metaheuristics for the tabu clustered traveling salesman problem. Comput. Oper. Res. 89 (2017). https://doi.org/10.1016/j.cor.2017.07.008.

    Article  MathSciNet  Google Scholar 

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Correspondence to Arindam Roy .

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Manna, A., Maity, S., Roy, A. (2020). A Heuristic Approach for Cluster TSP. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_4

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