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Communication topology optimization for three-dimensional persistent formation with leader constraint

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Abstract

We address the communication topology optimization problem for a three-dimensional persistent formation with leader constraint to minimize the formation communication cost while maintaining its shape. We first analyze the formation shape, network topology, communication topology, and leader constraint of a three-dimensional persistent formation to establish the optimization model of the problem. We then propose an exact algorithm, which includes three kernel sub-algorithms, to solve the model, and theoretically prove its validity. A numerical example is shown to demonstrate the effectiveness of the algorithm.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 71671059, 71401048, 71521001, 71690230, 71690235, and 71472058), the Anhui Provincial Natural Science Foundation, China (Grant No. 1808085MG213, 1508085MG140), and the Fundamental Research Funds for the Central Universities (JZ2018HGBZ0128).

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Authors and Affiliations

  1. School of Management, Hefei University of Technology, Hefei, China

    Guoqiang Wang, He Luo, Xiaoxuan Hu & Shanlin Yang

  2. Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, China

    Guoqiang Wang, He Luo, Xiaoxuan Hu & Shanlin Yang

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  1. Guoqiang Wang
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  2. He Luo
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  3. Xiaoxuan Hu
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  4. Shanlin Yang
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Correspondence to He Luo.

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Wang, G., Luo, H., Hu, X. et al. Communication topology optimization for three-dimensional persistent formation with leader constraint. Optim Lett 15, 513–535 (2021). https://doi.org/10.1007/s11590-018-1308-0

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