Modern Defense Technology ›› 2026, Vol. 54 ›› Issue (3): 223-233.DOI: 10.3969/j.issn.1009-086x.2026.03.021
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Wenwu ZHOU1,2, Xinghe LIAO1, Lei LEI3
Received:2025-06-04
Revised:2025-07-15
Online:2026-06-28
Published:2026-07-03
作者简介:周文武(1981-),男,重庆潼南人。讲师,硕士,研究方向为装备保障。
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Wenwu ZHOU, Xinghe LIAO, Lei LEI. Equipment Fault Prediction Based on Improved Grey Model with Hybrid Algorithm[J]. Modern Defense Technology, 2026, 54(3): 223-233.
周文武, 廖兴禾, 雷蕾. 基于混合算法改进灰色模型的装备故障预测[J]. 现代防御技术, 2026, 54(3): 223-233.
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| 系统类型 | 信息特征 | 适用场景 | 典型方法 |
|---|---|---|---|
| 白色系统 | 信息完全明确 | 理想化实验室环境 | 微分方程、统计分析 |
| 灰色系统 | 部分明确,部分未知 | 战场装备管理、经济预测 | GM系列模型 |
| 黑色系统 | 信息完全未知 | 极端复杂系统 | 黑箱模型 |
Table 1 Comparison of three methods
| 系统类型 | 信息特征 | 适用场景 | 典型方法 |
|---|---|---|---|
| 白色系统 | 信息完全明确 | 理想化实验室环境 | 微分方程、统计分析 |
| 灰色系统 | 部分明确,部分未知 | 战场装备管理、经济预测 | GM系列模型 |
| 黑色系统 | 信息完全未知 | 极端复杂系统 | 黑箱模型 |
| 迭代次数 | 候选 | 适应度值(RMSE) | 收敛状态 |
|---|---|---|---|
| 1 | 0.502 | 14.01 | 全局探索 |
| 20 | 0.412 | 8.72 | 过渡阶段 |
| 50 | 0.351 | 5.13 | 局部开发 |
| 70 | 0.329 | 4.25 | 精细开发 |
| 100 | 0.328 | 4.09 | 收敛 |
Table 2 Key iteration data of HHO-PSO optimization process (partial samples)
| 迭代次数 | 候选 | 适应度值(RMSE) | 收敛状态 |
|---|---|---|---|
| 1 | 0.502 | 14.01 | 全局探索 |
| 20 | 0.412 | 8.72 | 过渡阶段 |
| 50 | 0.351 | 5.13 | 局部开发 |
| 70 | 0.329 | 4.25 | 精细开发 |
| 100 | 0.328 | 4.09 | 收敛 |
| 仿真数据 | 标准GM(1,1)模型 | |||
|---|---|---|---|---|
| 预测值 | 相对误差 | 预测值 | 相对误差 | |
| 相对误差平均值 | 30.08 | 0.27 | ||
| 141.61 | 80.09 | 61.52 | 140.67 | 0.94 |
| 323.24 | 293.68 | 29.56 | 322.55 | 0.69 |
| 477.90 | 447.38 | 30.52 | 477.67 | 0.23 |
| 625.17 | 583.81 | 41.36 | 625.46 | -0.29 |
| 784.28 | 737.56 | 46.72 | 784.31 | -0.03 |
| 933.53 | 894.23 | 39.30 | 933.05 | 0.48 |
| 1 074.43 | 1 112.85 | -38.42 | 1 074.32 | -0.11 |
Table 3 Comparison of prediction errors between two models and simulated data
| 仿真数据 | 标准GM(1,1)模型 | |||
|---|---|---|---|---|
| 预测值 | 相对误差 | 预测值 | 相对误差 | |
| 相对误差平均值 | 30.08 | 0.27 | ||
| 141.61 | 80.09 | 61.52 | 140.67 | 0.94 |
| 323.24 | 293.68 | 29.56 | 322.55 | 0.69 |
| 477.90 | 447.38 | 30.52 | 477.67 | 0.23 |
| 625.17 | 583.81 | 41.36 | 625.46 | -0.29 |
| 784.28 | 737.56 | 46.72 | 784.31 | -0.03 |
| 933.53 | 894.23 | 39.30 | 933.05 | 0.48 |
| 1 074.43 | 1 112.85 | -38.42 | 1 074.32 | -0.11 |
| 两种故障预测模型 | 均方根误差 |
|---|---|
| GM(1,1) | 14.01 |
| 4.09 |
Table 4 Comparative analysis of results
| 两种故障预测模型 | 均方根误差 |
|---|---|
| GM(1,1) | 14.01 |
| 4.09 |
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