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Analysis of wireless sensor networks with sleep mode and threshold activation

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Abstract

In order to reduce the energy consumption of wireless sensor networks and control the workload of necessary topology maintenance, the sleep mode and the threshold activation process in the energy saving strategy are considered. Combining with practice, factors such as environmental interferences and physical damages are considered. A repairable M/M/2 vacation queueing model with negative customers, feedback, N-strategy and working breakdown is established. Using quasi birth-and-death process and Gauss-Seidel iterative method, the expressions of performance indicators are given. Then, using MATLAB software for numerical analysis, the influence of system parameters on performance indicators is analysed. Finally, the social optimal parameters are found by constructing benefit functions. Under certain conditions, when \(\lambda =0.64\) and \({{\beta }_{1}}=1.1\), the social benefit F can take the maximum value \(F=12.7729\).

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Acknowledgements

This work was supported in part by the Key Foundation of Higher Education Science and Technology Research of Hebei Province under Grant No. ZD2017079, National Natural Science Foundation of China under Grant Nos. 61973261, 61872311, Natural Science Foundation of Hebei Province under Grant Nos. A2020203010, A2018203088.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, China

    Zhanyou Ma, Xiangran Yu, Shanshan Guo & Yang Zhang

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  2. Xiangran Yu
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Correspondence to Xiangran Yu.

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Ma, Z., Yu, X., Guo, S. et al. Analysis of wireless sensor networks with sleep mode and threshold activation. Wireless Netw 27, 1431–1443 (2021). https://doi.org/10.1007/s11276-020-02512-y

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