Abstract
Tuna swarm optimization algorithm (TSO) is an innovative swarm intelligence algorithm that possesses the advantages of having a small number of adjustable parameters and being straightforward to implement, but the TSO exhibits drawbacks including low computational accuracy and susceptibility to local optima. To solve the shortcomings of TSO, a TSO variant based on behavioral evaluation and simplex strategy is proposed by this study, named SITSO. Firstly, the behavior evaluation mechanism is used to change the updating mechanism of TSO, thereby improving the convergence speed and calculation accuracy of TSO. Secondly, the simplex method enhances the exploitation capability of TSO. Then, simulations of different dimensions of the CEC2017 standard functional test set are performed and compared with a variety of existing mature algorithms to verify the performance of all aspects of the SITSO. Finally, numerous simulation experiments are conducted to address the optimization of wireless sensor network coverage. Based on the experimental results, SITSO outperforms the remaining six comparison algorithms in terms of performance.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Figd_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig6a_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig6b_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11235-024-01168-9/MediaObjects/11235_2024_1168_Fig14_HTML.png)
Similar content being viewed by others
Data availability
All data generated or analyzed during this study are included in this published article.
References
Ali, S., Qaisar, S. B., Saeed, H., Khan, M. F., Naeem, M., & Anpalagan, A. (2015). Network challenges for cyber physical systems with tiny wireless devices: A case study on reliable pipeline condition monitoring. Sensors, 15(4), 7172–7205. https://doi.org/10.3390/s150407172
Singh, A., Nagar, J., Sharma, S., & Kotiyal, V. (2021). A gaussian process regression approach to predict the k-barrier coverage probability for intrusion detection in wireless sensor networks. Expert Systems with Applications, 172, 114603. https://doi.org/10.1016/j.eswa.2021.114603
Xu, Y., Ding, O., Qu, R., & Li, K. (2018). Hybrid multi-objective evolutionary algorithms based on decomposition for wireless sensor network coverage optimization. Applied Soft Computing, 68, 268–282. https://doi.org/10.1016/j.asoc.2018.03.053
Papan, J., Bridova, I., & Filipko, A. (2023). Design of a technique for accelerating the wsn convergence process. Sensors. https://doi.org/10.3390/s23218682
Wilson, W. C., & Juarez, P. D. (2014). Emerging needs for pervasive passive wireless sensor networks on aerospace vehicles. Procedia Computer Science, 37, 101–108. https://doi.org/10.1016/j.procs.2014.08.018
Stankunas, J., Rudinskas, D., & Lasauskas, E. (2011). Experimental research of wireless sensor network application in aviation. Elektronika ir Elektrotechnika, 111, 41–44. https://doi.org/10.5755/j01.eee.111.5.353
Katzis, K., Berbakov, L., Gardašević, G., & Šveljo, O. (2022). Breaking barriers in emerging biomedical applications. Entropy, 24(2), 226.
Mohajer, A., Sam Daliri, M., Mirzaei, A., Ziaeddini, A., Nabipour, M., & Bavaghar, M. (2023). Heterogeneous computational resource allocation for noma: Toward green mobile edge-computing systems. IEEE Transactions on Services Computing, 16(2), 1225–1238. https://doi.org/10.1109/TSC.2022.3186099
Liang, J., Tian, M., Liu, Y., & Zhou, J. (2022). Coverage optimization of soil moisture wireless sensor networks based on adaptive Cauchy variant butterfly optimization algorithm. Scientific Reports, 12(1), 11687.
Shi, C., Wei, R., & Zhang, Y. (2018). Application research of wireless sensor network in building structure safety monitoring. IOP Conference Series: Materials Science and Engineering, 366(1), 012084. https://doi.org/10.1088/1757-899X/366/1/012084
Dong, S., Zhan, J., Hu, W., Mohajer, A., Bavaghar, M., & Mirzaei, A. (2023). Energy-efficient hierarchical resource allocation in uplink-downlink decoupled noma hetnets. IEEE Transactions on Network and Service Management, 20(3), 3380–3395. https://doi.org/10.1109/TNSM.2023.3239417
Sharada, K. A., Mahesh, T. R., chandrasekaran, S., Shashikumar, R., Kumar, V. V., & Annand, J. R. (2024). Improved energy efficiency using adaptive ant colony distributed intelligent based clustering in wireless sensor networks. Scientific Reports, 14(1), 4391. https://doi.org/10.1038/s41598-024-55099-1
Mohajer, A., Sorouri, F., Mirzaei, A., Ziaeddini, A., Rad, K. J., & Bavaghar, M. (2022). Energy-aware hierarchical resource management and backhaul traffic optimization in heterogeneous cellular networks. IEEE Systems Journal, 16(4), 5188–5199. https://doi.org/10.1109/JSYST.2022.3154162
Chen, W., Yang, P., Zhao, W., & Wei, L. (2022). Improved ant lion optimizer for coverage optimization in wireless sensor networks. Wireless Communications and Mobile Computing, 2022, 8808575. https://doi.org/10.1155/2022/8808575
Wang, D., Wang, H., Ban, X., Qian, X., & Ni, J. (2019). An adaptive, discrete space oriented wolf pack optimization algorithm for a movable wireless sensor network. Sensors. https://doi.org/10.3390/s19194320
Qu, Y. G., Zhai, Y. J., Lin, Z. T., Zhao, B. H., & Zhang, Y. T. (2004). A novel sensor placement model in wireless sensor network. Journal of Bei**g University of Posts and Telecommunications, 27(6), 1–5.
Wang, S., Yang, X., Wang, X., & Qian, Z. (2019). A virtual force algorithm-Levy-embedded grey wolf optimization algorithm for wireless sensor network coverage optimization. Sensors. https://doi.org/10.3390/s19122735
Rajendran, S., Čep, R., Narayanan, R. C., Pal, S., & Kalita, K. (2022). A conceptual comparison of six nature-inspired metaheuristic algorithms in process optimization. Processes, 10(2), 197.
Roberts, M. K., & Thangavel, J. (2022). An optimized ticket manager based energy-aware multipath routing protocol design for iot based wireless sensor networks. Concurrency and Computation: Practice and Experience, 34(28), 7398. https://doi.org/10.1002/cpe.7398
Chen, X., Qin, T., Wei, W., Fan, Y., Luo, X., & Yang, J. (2023). A data transmission protocol for wsn based on multi-strategy improved whale optimisation algorithm. International Journal of Modelling, Identification and Control, 43(4), 302–311. https://doi.org/10.1504/IJMIC.2023.133435
Zheng, W.-M., Liu, N., Chai, Q.-W., & Liu, Y. (2023). Application of improved black hole algorithm in prolonging the lifetime of wireless sensor network. Complex & Intelligent Systems, 9(5), 5817–5829. https://doi.org/10.1007/s40747-023-01041-3
Zhang, Y. (2020). Coverage optimization and simulation of wireless sensor networks based on particle swarm optimization. International Journal of Wireless Information Networks, 27(2), 307–316. https://doi.org/10.1007/s10776-019-00446-7
He, Q., Lan, Z., Zhang, D., Yang, L., & Luo, S. (2022). Improved marine predator algorithm for wireless sensor network coverage optimization problem. Sustainability. https://doi.org/10.3390/su14169944
Miao, Z., Yuan, X., Zhou, F., Qiu, X., Song, Y., & Chen, K. (2020). Grey wolf optimizer with an enhanced hierarchy and its application to the wireless sensor network coverage optimization problem. Applied Soft Computing, 96, 106602. https://doi.org/10.1016/j.asoc.2020.106602
**e, L., Han, T., Zhou, H., Zhang, Z.-R., Han, B., & Tang, A. (2021). Tuna swarm optimization: A novel swarm-based metaheuristic algorithm for global optimization. Computational Intelligence and Neuroscience, 2021, 9210050. https://doi.org/10.1155/2021/9210050
Tan, M., Li, Y., Ding, D., Zhou, R., & Huang, C. (2022). An improved jade hybridizing with tuna swarm optimization for numerical optimization problems. Mathematical Problems in Engineering, 2022, 7726548. https://doi.org/10.1155/2022/7726548
Wang, W., & Tian, J. (2022). An improved nonlinear tuna swarm optimization algorithm based on circle chaos map and levy flight operator. Electronics. https://doi.org/10.3390/electronics11223678
Tuerxun, W., Xu, C., Guo, H., Guo, L., Zeng, N., & Cheng, Z. (2022). An ultra-short-term wind speed prediction model using lstm based on modified tuna swarm optimization and successive variational mode decomposition. Energy Science & Engineering, 10(8), 3001–3022. https://doi.org/10.1002/ese3.1183
Yan, Z., Yan, J., Wu, Y., Cai, S., & Wang, H. (2023). A novel reinforcement learning based tuna swarm optimization algorithm for autonomous underwater vehicle path planning. Mathematics and Computers in Simulation, 209, 55–86. https://doi.org/10.1016/j.matcom.2023.02.003
Kumar, C., & Magdalin Mary, D. (2022). A novel chaotic-driven tuna swarm optimizer with Newton–Raphson method for parameter identification of three-diode equivalent circuit model of solar photovoltaic cells/modules. Optik, 264, 169379. https://doi.org/10.1016/j.ijleo.2022.169379
**ao-Lei, L. I., Fei, L. U., Guo-Hui, T., & Ji-**n, Q. (2004). Applications of artificial fish school algorithm in combinatorial optimization problems. Journal of Shandong University (Engineering Science), 34(5), 64–67.
Tao, L., & Xueqiang, M. (2023). Hybrid strategy improved sparrow search algorithm in the field of intrusion detection. IEEE Access, 11, 32134–32151. https://doi.org/10.1109/ACCESS.2023.3259548
**ao, H.-F., & Tan, G.-z. (2010). A novel particle swarm optimizer without velocity: Simplex-pso. Journal of Central South University of Technology, 17(2), 349–356. https://doi.org/10.1007/s11771-010-0052-0
Awad, N., Ali, M., Liang, J., Qu, B., & Suganthan, P. (2016). Problem definitions and evaluation criteria for the cec 2017 special session and competition on single objective bound constrained real-parameter numerical optimization, pp. 1–34.
Tuerxun, W., Xu, C., Guo, H., Guo, L., Zeng, N., & Cheng, Z. (2022). An ultra-short-term wind speed prediction model using lstm based on modified tuna swarm optimization and successive variational mode decomposition. Energy Science & Engineering, 10(8), 3001–3022. https://doi.org/10.1002/ese3.1183
Han, L. (2023). Improved tuna swarm optimization algorithm based on hybrid strategy. Guangxi Sciences, 30(1), 208–218.
Wang, J., Zhu, L., Wu, B., & Ryspayev, A. (2022). Forestry canopy image segmentation based on improved tuna swarm optimization. Forests. https://doi.org/10.3390/f13111746
Braik, M., Hammouri, A., Atwan, J., Al-Betar, M. A., & Awadallah, M. A. (2022). White shark optimizer: A novel bio-inspired meta-heuristic algorithm for global optimization problems. Knowledge-Based Systems, 243, 108457. https://doi.org/10.1016/j.knosys.2022.108457
Mirjalili, S., & Lewis, A. (2016). The whale optimization algorithm. Advances in Engineering Software, 95, 51–67. https://doi.org/10.1016/j.advengsoft.2016.01.008
Mirjalili, S. (2015). Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm. Knowledge-Based Systems, 89, 228–249. https://doi.org/10.1016/j.knosys.2015.07.006
Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. In Proceedings of ICNN’95 - International Conference on Neural Networks (Vol. 4, pp. 1942–19484). https://doi.org/10.1109/ICNN.1995.488968
Mirjalili, S., Mirjalili, S. M., & Lewis, A. (2014). Grey wolf optimizer. Advances in Engineering Software, 69, 46–61. https://doi.org/10.1016/j.advengsoft.2013.12.007
Yang, X.-S. (2012). Flower pollination algorithm for global optimization. In J. Durand-Lose & N. Jonoska (Eds.), Unconventional Computation and Natural Computation (pp. 240–249). Berlin: Springer.
Lam, F. C., & Longnecker, M. T. (1983). A modified Wilcoxon rank sum test for paired data. Biometrika, 70(2), 510–513.
Funding
No fundings to declare.
Author information
Authors and Affiliations
Contributions
Yu Chang: Methodology, Validation, Writing-original draft. Dengxu He: Conceptualization, Software,Visualization, Writing-editing. Liangdong Qu: Conceptualization, Software,Visualization, Writing-editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Chang, Y., He, D. & Qu, L. An improved tuna swarm optimization algorithm based on behavior evaluation for wireless sensor network coverage optimization. Telecommun Syst (2024). https://doi.org/10.1007/s11235-024-01168-9
Accepted:
Published:
DOI: https://doi.org/10.1007/s11235-024-01168-9