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A SN P System for Travelling Salesman Problem

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Human Centered Computing (HCC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11354))

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Abstract

The Spiking Neural P system is a branch of the neuronal-like P system in the membrane system with great parallelism. However, The Travelling Salesman Problem is a long-term NP-hard problem that finds the minimum costly Hamiltonian cycles in a weighted undirected graph. In this paper, we use the rules of division and dissolution of spiking neurons, combined with the idea of point-by-point traversal, we find all Hamiltonian cycles in weighted undirected graphs. Then computing by the binary form of the spike, resulting in the minimum cost Hamiltonian cycles. A bi-directional weighted digraph is applied to prove the feasibility of the algorithm in this paper. This method takes full advantage of the great parallelism of the SN P system, using fewer neurons and simpler rules and procedures to solve Travelling Salesman Problem.

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Acknowledgments

Project is supported by National Natural Science Foundation of China (61472231, 61502283, 61876101, 61802234, 61806114), Ministry of Eduction of Humanities and Social Science Research Project, China (12YJA630152), Social Science Fund Project of Shandong Province, China (16BGLJ06, 11CGLJ22), China Postdoctoral Project (40411583).

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Authors and Affiliations

  1. Business School, Shandong Normal University, Jinan, China

    Hui Zhang, Laisheng Xiang & Xiyu Liu

Authors
  1. Hui Zhang
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  2. Laisheng Xiang
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  3. Xiyu Liu
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Corresponding author

Correspondence to Xiyu Liu .

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Editors and Affiliations

  1. South China Normal University, Guangzhou, China

    Yong Tang

  2. Wuhan University of Technology, Wuhan City, China

    Qiaohong Zu

  3. CINVESTAV, Mexico City, Mexico

    José G. Rodríguez García

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Zhang, H., Xiang, L., Liu, X. (2019). A SN P System for Travelling Salesman Problem. In: Tang, Y., Zu, Q., Rodríguez García, J. (eds) Human Centered Computing. HCC 2018. Lecture Notes in Computer Science(), vol 11354. Springer, Cham. https://doi.org/10.1007/978-3-030-15127-0_33

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  • DOI: https://doi.org/10.1007/978-3-030-15127-0_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-15126-3

  • Online ISBN: 978-3-030-15127-0

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