Journal of System Simulation ›› 2026, Vol. 38 ›› Issue (8): 2392-2406.doi: 10.16182/j.issn1004731x.joss.25-0902
• Papers • Previous Articles
Yang Jiguang1, Huo Jiuyuan1,2, Cao Fang1, Mu Cong1
Received:2025-09-17
Revised:2025-11-14
Online:2026-08-28
Published:2026-08-31
Contact:
Huo Jiuyuan
CLC Number:
Yang Jiguang, Huo Jiuyuan, Cao Fang, Mu Cong. Optimization of Node Deployment for Three-dimensional Heterogeneous WSN in Elongated Structural Space[J]. Journal of System Simulation, 2026, 38(8): 2392-2406.
Table 2
Means and optimal values obtained by four algorithms
| 函数 | CFOA | SSOA | WOA | MSIWOA | ||||
|---|---|---|---|---|---|---|---|---|
| Best | Mean | Best | Mean | Best | Mean | Best | Mean | |
| Friedman | 3.5 | 3.4167 | 1.75 | 1.333 | ||||
| F1 | 3.68E+04 | 8.31E+04 | 2.23E+04 | 5.81E+04 | 8.20E+03 | 1.69E+04 | 6.47E+03 | 1.30E+04 |
| F2 | 1.42E+03 | 2.75E+03 | 1.65E+03 | 2.29E+03 | 4.50E+02 | 5.29E+02 | 4.77E+02 | 5.68E+02 |
| F3 | 6.58E+02 | 6.83E+02 | 6.71E+02 | 6.87E+02 | 6.35E+02 | 6.61E+02 | 6.25E+02 | 6.55E+02 |
| F4 | 9.58E+02 | 1.01E+03 | 9.57E+02 | 9.82E+02 | 8.59E+02 | 9.04E+02 | 8.45E+02 | 8.82E+02 |
| F5 | 3.47E+03 | 6.54E+03 | 2.65E+03 | 3.61E+03 | 2.10E+03 | 3.84E+03 | 1.93E+03 | 2.63E+03 |
| F6 | 3.06E+08 | 1.30E+09 | 2.24E+08 | 1.25E+09 | 8.95E+03 | 1.00E+05 | 8.57E+04 | 7.30E+05 |
| F7 | 2.12E+03 | 2.27E+03 | 2.18E+03 | 2.27E+03 | 2.10E+03 | 2.20E+03 | 2.06E+03 | 2.16E+03 |
| F8 | 2.29E+03 | 2.52E+03 | 2.49E+03 | 2.80E+03 | 2.24E+03 | 2.27E+03 | 2.23E+03 | 2.26E+03 |
| F9 | 2.74E+03 | 3.05E+03 | 2.84E+03 | 3.16E+03 | 2.50E+03 | 2.53E+03 | 2.49E+03 | 2.51E+03 |
| F10 | 2.59E+03 | 5.96E+03 | 2.55E+03 | 6.59E+03 | 2.50E+03 | 4.65E+03 | 2.50E+03 | 4.05E+03 |
| F11 | 3.30E+04 | 9.19E+04 | 7.38E+03 | 8.44E+03 | 3.05E+03 | 3.14E+03 | 3.12E+03 | 3.47E+03 |
| F12 | 3.12E+03 | 3.40E+03 | 3.69E+03 | 3.94E+03 | 2.96E+03 | 3.04E+03 | 2.95E+03 | 3.01E+03 |
| [1] | Vahid Reza Gharehbaghi, Ehsan Noroozinejad Farsangi, Noori M, et al. A Critical Review on Structural Health Monitoring: Definitions, Methods, and Perspectives[J]. Archives of Computational Methods in Engineering, 2022, 29(4): 2209-2235. |
| [2] | Siringoringo Dionysius M, Fujino Yozo, Suzuki Makoto. Long-term Continuous Seismic Monitoring of Multi-span Highway Bridge and Evaluation of Bearing Condition by Wireless Sensor Network[J]. Engineering Structures, 2023, 276: 115372. |
| [3] | 李纲, 张彩霞, 胡绍林, 等. 面向桥梁结构健康监测的WSN分簇路由协议[J]. 系统仿真学报, 2022, 34(1): 62-69. |
| Li Gang, Zhang Caixia, Hu Shaolin, et al. WSN Clustering Routing Protocol for Bridge Structure Health Monitoring[J]. Journal of System Simulation, 2022, 34(1): 62-69. | |
| [4] | Sofi A, Jane Regita J, Rane Bhagyesh, et al. Structural Health Monitoring Using Wireless Smart Sensor Network—An Overview[J]. Mechanical Systems and Signal Processing, 2022, 163: 108113. |
| [5] | Zou Y, Chakrabarty K. Sensor Deployment and Target Localization Based on Virtual Forces[C]//IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies. Piscataway: IEEE, 2003: 1293-1303. |
| [6] | Wen Qin, Zhao Xiaoqiang, Cui Yanpeng, et al. Coverage Enhancement Algorithm for WSNs Based on Vampire Bat and Improved Virtual Force[J]. IEEE Sensors Journal, 2022, 22(8): 8245-8256. |
| [7] | Qi Chunyang, Huang Jie, Liu Xiang, et al. A Novel Mobile-coverage Scheme for Hybrid Sensor Networks[J]. IEEE Access, 2020, 8: 121678-121692. |
| [8] | Muduli Lalatendu, Jana Prasanta K, Devi Prasad Mishra. A Novel Wireless Sensor Network Deployment Scheme for Environmental Monitoring in Longwall Coal Mines[J]. Process Safety and Environmental Protection, 2017, 109: 564-576. |
| [9] | Su Yishan, Guo Lei, Jin Zhigang, et al. A Voronoi-based Optimized Depth Adjustment Deployment Scheme for Underwater Acoustic Sensor Networks[J]. IEEE Sensors Journal, 2020, 20(22): 13849-13860. |
| [10] | Abbasi F, Mesbahi A, Mohammadpour Velni J. A New Voronoi-based Blanket Coverage Control Method for Moving Sensor Networks[J]. IEEE Transactions on Control Systems Technology, 2019, 27(1): 409-417. |
| [11] | Zhao Xiaoqiang, Cui Yanpeng, Gao Chuanyi, et al. Energy-efficient Coverage Enhancement Strategy for 3-D Wireless Sensor Networks Based on a Vampire Bat Optimizer[J]. IEEE Internet of Things Journal, 2020, 7(1): 325-338. |
| [12] | Chaturvedi Pooja, Daniel A K. A Comprehensive Review on Scheduling Based Approaches for Target Coverage in WSN[J]. Wireless Personal Communications, 2022, 123(4): 3147-3199. |
| [13] | Yao Yindi, Liao Huanmin, Liu Min, et al. Coverage Optimization Strategy for 3-D Wireless Sensor Networks Based on Improved Sparrow Search Algorithm[J]. IEEE Sensors Journal, 2023, 23(19): 23721-23733. |
| [14] | Wang Zhendong, Xie Huamao, Hu Zhongdong, et al. Node Coverage Optimization Algorithm for Wireless Sensor Networks Based on Improved Grey Wolf Optimizer[J/OL]. Journal of Algorithms & Computational Technology. (2019-01-01) [2025-09-01]. . |
| [15] | Li Ying, Zhao Liqiang, Wang Yunfeng, et al. Improved Sand Cat Swarm Optimization Algorithm for Enhancing Coverage of Wireless Sensor Networks[J]. Measurement, 2024, 233: 114649. |
| [16] | Yao Yindi, Liao Huanmin, Li Xiong, et al. Coverage Control Algorithm for DSNs Based on Improved Gravitational Search[J]. IEEE Sensors Journal, 2022, 22(7): 7340-7351. |
| [17] | Yao Yindi, Hu Shanshan, Li Ying, et al. A Node Deployment Optimization Algorithm of WSNs Based on Improved Moth Flame Search[J]. IEEE Sensors Journal, 2022, 22(10): 10018-10030. |
| [18] | 王振东, 谢华茂, 胡中栋, 等. 改进花朵授粉算法的无线传感器网络部署优化[J]. 系统仿真学报, 2021, 33(3): 645-656. |
| Wang Zhendong, Xie Huamao, Hu Zhongdong, et al. Improved Flower Pollination Algorithm Based Deployment Optimization of Wireless Sensor Network[J]. Journal of System Simulation, 2021, 33(3): 645-656. | |
| [19] | Zhou Gongbo, Zhu Zhencai, Zhang Peng, et al. Node Deployment of Band-type Wireless Sensor Network for Underground Coalmine Tunnel[J]. Computer Communications, 2016, 81: 43-51. |
| [20] | 神显豪, 马雪皎, 牛少华, 等. 基于改进狮群算法的管道传感器网络覆盖优化[J]. 传感技术学报, 2022, 35(9): 1268-1276. |
| Shen Xianhao, Ma Xuejiao, Niu Shaohua, et al. Coverage Optimization of Pipeline Sensor Networks Based on Improved Lion Swarm Optimization[J]. Chinese Journal of Sensors and Actuators, 2022, 35(9): 1268-1276. | |
| [21] | Zhou Peng, Kan Mingqi, Chen Wei, et al. An Adaptive Coverage Method for Dynamic Wireless Sensor Network Deployment Using Deep Reinforcement Learning[J]. Scientific Reports, 2025, 15(1): 30304. |
| [22] | Pushpa G, Babu R A, Subashree S, et al. Optimizing Coverage in Wireless Sensor Networks Using Deep Reinforcement Learning with Graph Neural Networks[J]. Scientific Reports, 2025, 15(1): 16681. |
| [23] | Mirjalili Seyedali, Lewis Andrew. The Whale Optimization Algorithm[J]. Advances in Engineering Software, 2016, 95: 51-67. |
| [24] | Nadimi-Shahraki Mohammad H, Zamani Hoda, Zahra Asghari Varzaneh,et al. A Systematic Review of the Whale Optimization Algorithm: Theoretical Foundation, Improvements, and Hybridizations[J]. Archives of Computational Methods in Engineering, 2023, 30(7): 4113-4159. |
| [25] | Amine Khalil. Multiobjective Simulated Annealing: Principles and Algorithm Variants[J]. Advances in Operations Research, 2019, 2019(1): 8134674. |
| [26] | Yang Jiguang, Huo Jiuyuan, Mu Cong. A Novel Clustering Routing Algorithm for Bridge Wireless Sensor Networks Based on Spatial Model and Multicriteria Decision Making[J]. IEEE Internet of Things Journal, 2024, 11(16): 27775-27789. |
| [27] | Yang Jiguang, Huo Jiuyuan, Mu Cong. A Spatial Model and Multiobjective Fuzzy Inference-based Clustering Routing Algorithm for Bridge Monitoring[J]. IEEE Sensors Journal, 2025, 25(1): 1669-1681. |
| [28] | Zheng Shannong, Huo Jiuyuan, Yang Jiguang, et al. An Energy-efficient Multihop Routing Protocol for 3-D Bridge Wireless Sensor Network Based on Secretary Bird Optimization Algorithm[J]. IEEE Sensors Journal, 2024, 24(22): 38045-38060. |
| [29] | Chakrabarty K, Iyengar S S, Qi Hairong, et al. Grid Coverage for Surveillance and Target Location in Distributed Sensor Networks[J]. IEEE Transactions on Computers, 2002, 51(12): 1448-1453. |
| [30] | Long Wen, Jiao Jianjun, Liang Ximing, et al. A Random Opposition-based Learning Grey Wolf Optimizer[J]. IEEE Access : Practical Innovations, Open Solutions, 2019, 7: 113810-113825. |
| [31] | Alzoubi Sharaf, Abualigah Laith, Sharaf Mohamed, et al. Synergistic Swarm Optimization Algorithm[J]. CMES- Computer Modeling in Engineering and Sciences, 2024, 139(3): 2557-2604. |
| [32] | Jia Heming, Wen Qixian, Wang Yuhao, et al. Catch Fish Optimization Algorithm: A New Human Behavior Algorithm for Solving Clustering Problems[J]. Cluster Computing, 2024, 27(9): 13295-13332. |
| [1] | Jiang Wenbin, Cao Yuqing, Xie Li, Yang Huizhong. Robust Identification of Dual-rate Sampled Nonlinear Systems Based on SALR Network [J]. Journal of System Simulation, 2025, 37(10): 2652-2661. |
| [2] | Rong Hu, Wen Jiang, Bin Qian, Naikang Yu. Two Stage Optimization Algorithm to Solve the Green Packing Vehicle Routing Problem [J]. Journal of System Simulation, 2022, 34(7): 1490-1505. |
| Viewed | ||||||
|
Full text |
|
|||||
|
Abstract |
|
|||||