China Mechanical Engineering ›› 2026, Vol. 37 ›› Issue (4): 977-986.DOI: 10.3969/j.issn.1004-132X.2026.04.022
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GUO Hongfei1(
), FU Wenjie1, REN Yaping2(
)
Received:2025-07-28
Online:2026-04-25
Published:2026-05-11
Contact:
REN Yaping
通讯作者:
任亚平
作者简介:郭洪飞,男,1980年生,教授、博士研究生导师。研究方向为智能制造、工业互联网、数字孪生等。E-mail:ghf-2005@163.com基金资助:CLC Number:
GUO Hongfei, FU Wenjie, REN Yaping. Selective Disassembly Sequence Planning for Retired Electromechanical Products Based on Heterogeneous Graph with Improved Proximal Policy Optimization[J]. China Mechanical Engineering, 2026, 37(4): 977-986.
郭洪飞, 傅文杰, 任亚平. 基于异构图与改进近端策略优化的退役机电产品选择性拆卸序列规划[J]. 中国机械工程, 2026, 37(4): 977-986.
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URL: https://www.cmemo.org.cn/EN/10.3969/j.issn.1004-132X.2026.04.022
| 参数 | Actor网络 | Critic网络 |
|---|---|---|
| 输入层 | Linear,17 | Linear,17 |
| 隐藏层1 | 64,leaky_relu | 64,leaky_relu |
| 隐藏层2 | 64,leaky_relu | 64,leaky_relu |
| 输出层 | 17,Softmax | Linear,1 |
Tab.1 Network architecture
| 参数 | Actor网络 | Critic网络 |
|---|---|---|
| 输入层 | Linear,17 | Linear,17 |
| 隐藏层1 | 64,leaky_relu | 64,leaky_relu |
| 隐藏层2 | 64,leaky_relu | 64,leaky_relu |
| 输出层 | 17,Softmax | Linear,1 |
| 序号 | 零部件 | p/元 | c/元 | n | t/s |
|---|---|---|---|---|---|
| 1 | 电池顶壳 | 42.00 | 0.2 | 1 | 22 |
| 2 | 顶部绝缘层 | 1.50 | 0.2 | 1 | 4 |
| 3 | BJB与CMC之间的电缆 | 2.00 | 0.1 | 1 | 7 |
| 4 | 电池接线盒(BJB) | 200.00 | 0.1 | 1 | 36 |
| 5 | 高压电缆和连接器 | 24.00 | 0.1 | 1 | 15 |
| 6 | 电池管理控制器顶部横盖 | 10.00 | 0.4 | 2 | 10 |
| 7 | CMC之间的插入电缆 | 24.00 | 3.5 | 1 | 14 |
| 8 | 模块连接器 | 16.00 | 2.8 | 4 | 7 |
| 9 | 侧面模块接口 | 2.90 | 1.9 | 16 | 3 |
| 10 | 上下层紧固件 | 22.40 | 3.8 | 32 | 4 |
| 11 | 散热板 | 60.00 | 1.2 | 4 | 15 |
| 12 | 冷却管 | 4.00 | 0.2 | 2 | 3 |
| 13 | 底部绝缘层 | 1.50 | 0.6 | 1 | 5 |
| 14 | 电池底壳 | 12.00 | 0.2 | 1 | 36 |
| 15 | 电池模块 | 600.00 | 0.3 | 8 | 87 |
| 16 | 电池管理控制器(CMC) | 80.00 | 1.2 | 8 | 24 |
Tab.2 Important parts disassembly information table for power battery
| 序号 | 零部件 | p/元 | c/元 | n | t/s |
|---|---|---|---|---|---|
| 1 | 电池顶壳 | 42.00 | 0.2 | 1 | 22 |
| 2 | 顶部绝缘层 | 1.50 | 0.2 | 1 | 4 |
| 3 | BJB与CMC之间的电缆 | 2.00 | 0.1 | 1 | 7 |
| 4 | 电池接线盒(BJB) | 200.00 | 0.1 | 1 | 36 |
| 5 | 高压电缆和连接器 | 24.00 | 0.1 | 1 | 15 |
| 6 | 电池管理控制器顶部横盖 | 10.00 | 0.4 | 2 | 10 |
| 7 | CMC之间的插入电缆 | 24.00 | 3.5 | 1 | 14 |
| 8 | 模块连接器 | 16.00 | 2.8 | 4 | 7 |
| 9 | 侧面模块接口 | 2.90 | 1.9 | 16 | 3 |
| 10 | 上下层紧固件 | 22.40 | 3.8 | 32 | 4 |
| 11 | 散热板 | 60.00 | 1.2 | 4 | 15 |
| 12 | 冷却管 | 4.00 | 0.2 | 2 | 3 |
| 13 | 底部绝缘层 | 1.50 | 0.6 | 1 | 5 |
| 14 | 电池底壳 | 12.00 | 0.2 | 1 | 36 |
| 15 | 电池模块 | 600.00 | 0.3 | 8 | 87 |
| 16 | 电池管理控制器(CMC) | 80.00 | 1.2 | 8 | 24 |
| 目标件 | 算法 | 拆卸序列 | 奖励值R | 拆卸利润p/元 | 拆卸时间t/s | 算法运行时间T/s |
|---|---|---|---|---|---|---|
| 4,15,16 | PPO | 1-3-4-6-8-10-11-9-7-15-16 1-3-4-6-8-9-10-11-7-15-16 1-3-4-6-7-8-10-11-9-15-16 1-3-5-4-6-7-8-9-10-11-15-16 | 316 | 912.3 | 236.8 | 26.9 |
| DQN | 1-2-3-4-6-8-10-9-7-11-15-16 1-2-3-5-4-6-8-10-9-7-11-15-16 1-2-5-3-4-6-8-9-10-11-7-15-16 | 290 | 832.6 | 249.3 | 20.8 | |
| SAC | 1-3-4-6-8-5-10-7-11-9-15-16 1-2-3-5-4-6-8-9-10-11-7-15-16 | 300 | 876.3 | 246.7 | 23.4 | |
| ANE-PPO | 1-3-4-6-8-10-11-7-9-15-16 1-3-4-6-8-9-10-11-7-15-16 1-3-4-6-8-7-9-10-11-15-16 | 335 | 932.7 | 227.4 | 18.4 |
Tab.3 Disassembly profit, disassembly time, and runtime metrics when the algorithm converges(power battery)
| 目标件 | 算法 | 拆卸序列 | 奖励值R | 拆卸利润p/元 | 拆卸时间t/s | 算法运行时间T/s |
|---|---|---|---|---|---|---|
| 4,15,16 | PPO | 1-3-4-6-8-10-11-9-7-15-16 1-3-4-6-8-9-10-11-7-15-16 1-3-4-6-7-8-10-11-9-15-16 1-3-5-4-6-7-8-9-10-11-15-16 | 316 | 912.3 | 236.8 | 26.9 |
| DQN | 1-2-3-4-6-8-10-9-7-11-15-16 1-2-3-5-4-6-8-10-9-7-11-15-16 1-2-5-3-4-6-8-9-10-11-7-15-16 | 290 | 832.6 | 249.3 | 20.8 | |
| SAC | 1-3-4-6-8-5-10-7-11-9-15-16 1-2-3-5-4-6-8-9-10-11-7-15-16 | 300 | 876.3 | 246.7 | 23.4 | |
| ANE-PPO | 1-3-4-6-8-10-11-7-9-15-16 1-3-4-6-8-9-10-11-7-15-16 1-3-4-6-8-7-9-10-11-15-16 | 335 | 932.7 | 227.4 | 18.4 |
| 序号 | 零件名称 | p/元 | c/元 | t/s | 序号 | 零件名称 | p/元 | c/元 | t/s | 序号 | 零件名称 | p/元 | c/元 | t/s |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 上门体 | 3.1 | 0.2 | 10 | 25 | 电线 | 0.8 | 0.1 | 3 | 47 | 工艺管路 | 7.5 | 1.3 | 30 |
| 2 | 上保温层 | 2.5 | 0.2 | 8 | 26 | 灯泡 | 1.0 | 0.2 | 2 | 48 | 压缩机固定件 | 2.4 | 0.6 | 12 |
| 3 | BJB与CMC 之间的电缆 | 2.2 | 0.1 | 7 | 27 | 螺丝 | 0.5 | 0.1 | 4 | 49 | 套筒和垫片 | 1.0 | 0.2 | 8 |
| 4 | 螺钉 | 0.6 | 0.1 | 5 | 28 | 控温盒 | 1.2 | 0.3 | 5 | 50 | 接地螺钉 | 0.6 | 0.1 | 6 |
| 5 | 合页 | 1.5 | 0.1 | 3 | 29 | 螺钉 | 0.8 | 0.1 | 12 | 51 | 继电器盖板 | 0.4 | 0.1 | 3 |
| 6 | 下门体 | 6.7 | 0.4 | 5 | 30 | 托盘滚轮 | 0.9 | 0.1 | 12 | 52 | 压缩机 | 21.3 | 1.8 | 6 |
| 7 | 下保温层 | 2.1 | 0.2 | 6 | 31 | 蒸发器挡块 | 0.8 | 0.2 | 12 | 53 | 垫片 | 0.6 | 0.1 | 2 |
| 8 | 螺钉 | 0.5 | 0.1 | 4 | 32 | 蒸发器托盘 | 0.8 | 0.1 | 6 | 54 | 接线盒外壳 | 2.5 | 0.6 | 10 |
| 9-10 | 塞门 | 0.6 | 0.1 | 2 | 33 | 蒸发器 | 13.6 | 1.6 | 20 | 55 | 过载保护器 | 2.0 | 0.5 | 8 |
| 11 | 螺钉 | 0.6 | 0.1 | 5 | 34 | 螺钉帽 | 0.4 | 0.1 | 4 | 56 | PTC继电器 | 2.5 | 0.7 | 8 |
| 12 | 铰链 | 1.5 | 0.2 | 3 | 35 | 螺钉 | 0.5 | 0.1 | 4 | 57 | 继电器线 | 1.5 | 0.8 | 6 |
| 13 | 储物抽屉 | 7.1 | 0.6 | 5 | 36 | 管路盖板 | 1.8 | 0.2 | 3 | 58 | 电源线 | 2.0 | 0.3 | 8 |
| 14 | 门垫片 | 2.2 | 0.2 | 6 | 37 | 螺钉 | 0.4 | 0.1 | 4 | 59 | 螺钉 | 0.6 | 0.1 | 12 |
| 15 | 螺钉 | 0.5 | 0.1 | 4 | 38 | 顶板 | 1.2 | 0.4 | 3 | 60 | 压缩机底盘 | 4.1 | 1.7 | 3 |
| 16-17 | 塞门 | 1.4 | 0.2 | 3 | 39 | 调节按键 | 0.5 | 0.1 | 4 | 61 | 前地脚 | 1.3 | 0.5 | 5 |
| 18 | 灯罩 | 0.4 | 0.1 | 2 | 40 | 螺钉 | 1.0 | 0.1 | 8 | 62 | 螺钉 | 1.2 | 0.1 | 8 |
| 19 | 螺钉 | 0.3 | 0.1 | 2 | 41 | 控制板 | 7.2 | 1.1 | 6 | 63 | 下铰链 | 1.4 | 0.5 | 3 |
| 20 | 温控按钮 | 0.6 | 0.1 | 2 | 42 | 控制板线 | 1.1 | 0.2 | 4 | 64 | 前地脚 | 1.3 | 0.3 | 5 |
| 21 | 齿轮 | 0.4 | 0.1 | 2 | 43 | 门开关 | 1.4 | 0.3 | 5 | 65 | 螺钉 | 0.6 | 0.1 | 4 |
| 22 | 螺钉 | 0.5 | 0.1 | 4 | 44 | 螺钉 | 1.0 | 0.2 | 10 | 66 | 加强地脚 | 0.9 | 0.4 | 3 |
| 23 | 温控器 | 1.2 | 0.2 | 4 | 45 | 压缩机盖板 | 2.5 | 0.7 | 4 | |||||
| 24 | 变温器 | 1.5 | 0.3 | 3 | 46 | 接水盘 | 2.3 | 0.4 | 5 |
Tab.4 Refrigerator parts disassembly information
| 序号 | 零件名称 | p/元 | c/元 | t/s | 序号 | 零件名称 | p/元 | c/元 | t/s | 序号 | 零件名称 | p/元 | c/元 | t/s |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 上门体 | 3.1 | 0.2 | 10 | 25 | 电线 | 0.8 | 0.1 | 3 | 47 | 工艺管路 | 7.5 | 1.3 | 30 |
| 2 | 上保温层 | 2.5 | 0.2 | 8 | 26 | 灯泡 | 1.0 | 0.2 | 2 | 48 | 压缩机固定件 | 2.4 | 0.6 | 12 |
| 3 | BJB与CMC 之间的电缆 | 2.2 | 0.1 | 7 | 27 | 螺丝 | 0.5 | 0.1 | 4 | 49 | 套筒和垫片 | 1.0 | 0.2 | 8 |
| 4 | 螺钉 | 0.6 | 0.1 | 5 | 28 | 控温盒 | 1.2 | 0.3 | 5 | 50 | 接地螺钉 | 0.6 | 0.1 | 6 |
| 5 | 合页 | 1.5 | 0.1 | 3 | 29 | 螺钉 | 0.8 | 0.1 | 12 | 51 | 继电器盖板 | 0.4 | 0.1 | 3 |
| 6 | 下门体 | 6.7 | 0.4 | 5 | 30 | 托盘滚轮 | 0.9 | 0.1 | 12 | 52 | 压缩机 | 21.3 | 1.8 | 6 |
| 7 | 下保温层 | 2.1 | 0.2 | 6 | 31 | 蒸发器挡块 | 0.8 | 0.2 | 12 | 53 | 垫片 | 0.6 | 0.1 | 2 |
| 8 | 螺钉 | 0.5 | 0.1 | 4 | 32 | 蒸发器托盘 | 0.8 | 0.1 | 6 | 54 | 接线盒外壳 | 2.5 | 0.6 | 10 |
| 9-10 | 塞门 | 0.6 | 0.1 | 2 | 33 | 蒸发器 | 13.6 | 1.6 | 20 | 55 | 过载保护器 | 2.0 | 0.5 | 8 |
| 11 | 螺钉 | 0.6 | 0.1 | 5 | 34 | 螺钉帽 | 0.4 | 0.1 | 4 | 56 | PTC继电器 | 2.5 | 0.7 | 8 |
| 12 | 铰链 | 1.5 | 0.2 | 3 | 35 | 螺钉 | 0.5 | 0.1 | 4 | 57 | 继电器线 | 1.5 | 0.8 | 6 |
| 13 | 储物抽屉 | 7.1 | 0.6 | 5 | 36 | 管路盖板 | 1.8 | 0.2 | 3 | 58 | 电源线 | 2.0 | 0.3 | 8 |
| 14 | 门垫片 | 2.2 | 0.2 | 6 | 37 | 螺钉 | 0.4 | 0.1 | 4 | 59 | 螺钉 | 0.6 | 0.1 | 12 |
| 15 | 螺钉 | 0.5 | 0.1 | 4 | 38 | 顶板 | 1.2 | 0.4 | 3 | 60 | 压缩机底盘 | 4.1 | 1.7 | 3 |
| 16-17 | 塞门 | 1.4 | 0.2 | 3 | 39 | 调节按键 | 0.5 | 0.1 | 4 | 61 | 前地脚 | 1.3 | 0.5 | 5 |
| 18 | 灯罩 | 0.4 | 0.1 | 2 | 40 | 螺钉 | 1.0 | 0.1 | 8 | 62 | 螺钉 | 1.2 | 0.1 | 8 |
| 19 | 螺钉 | 0.3 | 0.1 | 2 | 41 | 控制板 | 7.2 | 1.1 | 6 | 63 | 下铰链 | 1.4 | 0.5 | 3 |
| 20 | 温控按钮 | 0.6 | 0.1 | 2 | 42 | 控制板线 | 1.1 | 0.2 | 4 | 64 | 前地脚 | 1.3 | 0.3 | 5 |
| 21 | 齿轮 | 0.4 | 0.1 | 2 | 43 | 门开关 | 1.4 | 0.3 | 5 | 65 | 螺钉 | 0.6 | 0.1 | 4 |
| 22 | 螺钉 | 0.5 | 0.1 | 4 | 44 | 螺钉 | 1.0 | 0.2 | 10 | 66 | 加强地脚 | 0.9 | 0.4 | 3 |
| 23 | 温控器 | 1.2 | 0.2 | 4 | 45 | 压缩机盖板 | 2.5 | 0.7 | 4 | |||||
| 24 | 变温器 | 1.5 | 0.3 | 3 | 46 | 接水盘 | 2.3 | 0.4 | 5 |
| 目标件 | 算法 | 拆卸序列 | R | p/元 | t/s | T/s |
|---|---|---|---|---|---|---|
| 6、13、33、41、47、52 | PPO | 2-37-1-38-40-41-4-5-6-11-12-13-42-3-43-31-32-33-34-35-36-44-45-47-54-48-49-52 2-29-1-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-54-48-49-52 2-37-1-38-40-41-4-5-6-11-12-13-42-30-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 107.7 | 76.3 | 211.3 | 255.3 |
| DQN | 1-2-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-50-51-52 1-2-37-38-40-41-4-5-6-11-12-13-39-29-30-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-1-37-38-4-40-41-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-46-50-51-52 | 88.4 | 68.4 | 216.7 | 236.7 | |
| SAC | 2-37-1-38-40-41-4-5-6-11-12-13-39-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-37-1-38-4-5-6-40-11-12-13-41-42-39-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 98.1 | 73.4 | 209.4 | 262.6 | |
| ANE-PPO | 2-1-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 1-2-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-37-38-1-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 124.2 | 87.6 | 198.2 | 233.4 |
Tab.5 Disassembly profit, disassembly time, and runtime metrics when the algorithm converges(refrigerator)
| 目标件 | 算法 | 拆卸序列 | R | p/元 | t/s | T/s |
|---|---|---|---|---|---|---|
| 6、13、33、41、47、52 | PPO | 2-37-1-38-40-41-4-5-6-11-12-13-42-3-43-31-32-33-34-35-36-44-45-47-54-48-49-52 2-29-1-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-54-48-49-52 2-37-1-38-40-41-4-5-6-11-12-13-42-30-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 107.7 | 76.3 | 211.3 | 255.3 |
| DQN | 1-2-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-50-51-52 1-2-37-38-40-41-4-5-6-11-12-13-39-29-30-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-1-37-38-4-40-41-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-46-50-51-52 | 88.4 | 68.4 | 216.7 | 236.7 | |
| SAC | 2-37-1-38-40-41-4-5-6-11-12-13-39-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-37-1-38-4-5-6-40-11-12-13-41-42-39-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 98.1 | 73.4 | 209.4 | 262.6 | |
| ANE-PPO | 2-1-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 1-2-37-38-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 2-37-38-1-40-41-4-5-6-11-12-13-3-43-31-32-33-34-35-36-44-45-47-48-49-52 | 124.2 | 87.6 | 198.2 | 233.4 |
| 组别 | 熵正则化 | 优势函数标准化 | Rg、Rp、Rt、η | 1/2(Rg、Rp、Rt、η) | 2(Rg、Rp、Rt、η) | 奖励值 | 拆卸利润/元 | 拆卸时间/s | 收敛时 迭代次数 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | √ | 316 | 912.3 | 236.8 | 175 | ||||
| 2 | √ | √ | 334.7 | 931.4 | 225.7 | 170 | |||
| 3 | √ | √ | 313.9 | 910.7 | 238.8 | 92 | |||
| 4 | √ | 312.5 | 903.8 | 239.7 | 184 | ||||
| 5 | √ | 300.2 | 894.6 | 243.4 | 167 | ||||
| 6 | √ | √ | √ | 335 | 932.7 | 227.4 | 105 |
Tab.6 Ablation study on a power battery case
| 组别 | 熵正则化 | 优势函数标准化 | Rg、Rp、Rt、η | 1/2(Rg、Rp、Rt、η) | 2(Rg、Rp、Rt、η) | 奖励值 | 拆卸利润/元 | 拆卸时间/s | 收敛时 迭代次数 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | √ | 316 | 912.3 | 236.8 | 175 | ||||
| 2 | √ | √ | 334.7 | 931.4 | 225.7 | 170 | |||
| 3 | √ | √ | 313.9 | 910.7 | 238.8 | 92 | |||
| 4 | √ | 312.5 | 903.8 | 239.7 | 184 | ||||
| 5 | √ | 300.2 | 894.6 | 243.4 | 167 | ||||
| 6 | √ | √ | √ | 335 | 932.7 | 227.4 | 105 |
| 组别 | 熵正则化 | 优势函数标准化 | Rg、Rp、Rt、η | 1/2(Rg、Rp、Rt、η) | 2(Rg、Rp、Rt、η) | 奖励值 | 拆卸利润/元 | 拆卸时间/s | 收敛时 迭代次数 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | √ | 107.7 | 76.3 | 211.3 | 340 | ||||
| 2 | √ | √ | 123.7 | 87.4 | 200.7 | 360 | |||
| 3 | √ | √ | 107.4 | 75.9 | 211.8 | 190 | |||
| 4 | √ | 105.2 | 74.4 | 213.2 | 390 | ||||
| 5 | √ | 100.7 | 69.8 | 221.6 | 307 | ||||
| 6 | √ | √ | √ | 124.2 | 87.6 | 198.2 | 210 |
Tab.7 Ablation study on a refrigerator case
| 组别 | 熵正则化 | 优势函数标准化 | Rg、Rp、Rt、η | 1/2(Rg、Rp、Rt、η) | 2(Rg、Rp、Rt、η) | 奖励值 | 拆卸利润/元 | 拆卸时间/s | 收敛时 迭代次数 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | √ | 107.7 | 76.3 | 211.3 | 340 | ||||
| 2 | √ | √ | 123.7 | 87.4 | 200.7 | 360 | |||
| 3 | √ | √ | 107.4 | 75.9 | 211.8 | 190 | |||
| 4 | √ | 105.2 | 74.4 | 213.2 | 390 | ||||
| 5 | √ | 100.7 | 69.8 | 221.6 | 307 | ||||
| 6 | √ | √ | √ | 124.2 | 87.6 | 198.2 | 210 |
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