Optimization of Multi-gate Locations in Injection Molds Based on a Parallel Heuristic Algorithm

JIN Ruimin, HUANG Zhigao, CHENG Xuewen, ZHOU Huamin

Journal of Netshape Forming Engineering ›› 2026, Vol. 18 ›› Issue (9) : 229-239.

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Journal of Netshape Forming Engineering ›› 2026, Vol. 18 ›› Issue (9) : 229-239. DOI: 10.3969/j.issn.1674-6457.2026.09.023
Advanced Manufacturing Technology and Equipment

Optimization of Multi-gate Locations in Injection Molds Based on a Parallel Heuristic Algorithm

  • JIN Ruimin1, HUANG Zhigao1,2,*, CHENG Xuewen3, ZHOU Huamin1,2
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Abstract

The work aims to propose an efficient parallel heuristic optimization method to address the challenges of combinatorial explosion and low computational efficiency in multi-gate location optimization for injection molding. The “equivalent flow length” was employed as a rapid evaluation metric for filling balance and a flow-length calculation model based on the surface mesh of the molded part was established. A dual-layer optimization framework, combining “global exploration by a genetic algorithm” with local exploitation by a “hybrid hill-climbing algorithm”, was developed as the core of the proposed approach. By incorporating dynamic population control, dynamic diversity monitoring, adaptive genetic operators, intelligent neighborhood search, and a parallel computing mechanism, the method enabled efficient optimization of multi-gate locations. Experimental results for parts with mesh sizes ranging from 50 000 to 140 000 elements showed that, for three-gate optimization problems, the proposed method improved computational efficiency by approximately 30 times compared with existing algorithms. Under various working conditions, the optimized gate layouts achieved filling balance superior to or comparable with that obtained using professional CAE software. In conclusion, the proposed parallel heuristic algorithm effectively addresses the combinatorial optimization problem of multi-gate placement, substantially improves design efficiency while maintaining optimization quality, and demonstrates significant practical value for engineering applications.

Key words

injection molding / multi-gate optimization / equivalent flow length / surface mesh / parallel genetic algorithm / hybrid hill-climbing algorithm

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JIN Ruimin, HUANG Zhigao, CHENG Xuewen, ZHOU Huamin. Optimization of Multi-gate Locations in Injection Molds Based on a Parallel Heuristic Algorithm[J]. Journal of Netshape Forming Engineering. 2026, 18(9): 229-239 https://doi.org/10.3969/j.issn.1674-6457.2026.09.023

References

[1] 金镖, 潘毅峰, 姚涵非, 等. 注射成形中的工艺参数自适应优化方法[J]. 精密成形工程, 2025, 17(5): 220-228.
JIN B, PAN Y F, YAO H F, et al.A Self-Learning Optimization Method for Process Parameters in Electric Driven Injection Molding[J]. Journal of Netshape Forming Engineering, 2025, 17(5): 220-228.
[2] 黄建栋. 精密注射模表面质量控制与工艺优化研究[J]. 模具制造, 2026, 26(1): 31-33.
HUANG J D.Research on Surface Quality Control and Process Optimization for Precision Injection Molds[J]. Die & Mould Manufacture, 2026, 26(1): 31-33.
[3] LI X M, LIU F, ZHANG C Q, et al.The Influence of Mold Design and Process Parameters on Dimensional Shrinkage of Perfluoroalkoxy Alkane Injection Molding Parts[J]. Journal of Applied Polymer Science, 2024, 141(32): e55757.
[4] 张新兵, 徐作文, 林鑫. 基于汽车前保险杠饰条注塑浇口的设计与分析[J]. 汽车制造业, 2025(4): 62-66.
ZHANG X B, XU Z W, LIN X.Design and Analysis of Injection Gate Based on Automobile Front Bumper Molding[J]. Automobil Industrie, 2025(4): 62-66.
[5] KURKIN E I, LUKYANOV O E, CHERTYKOVTSEVA V O, et al.Molding Gate Optimization for Weld Line Location Away from Structures Loaded Area[J]. Journal of Physics: Conference Series, 2021, 1925(1): 012056.
[6] 张红英, 欧阳八生. 注塑成型工艺中的翘曲变形[J]. 模具技术, 2016(3): 46-51.
ZHANG H Y, OUYANG B S.The Warping Deformation in Injection Molding Process[J]. Die and Mould Technology, 2016(3): 46-51.
[7] DANACH K, HARB H, JOSE HEJASE H, et al.A Hybrid Metaheuristic Framework with Reinforcement Learning-Based Heuristic Selection for Large-Scale Combinatorial Optimization[J]. European Journal of Pure and Applied Mathematics, 2025, 18(3): 6602.
[8] HUANG Y X, ZHOU W, WANG Y, et al.Evolutionary Multitasking with Centralized Learning for Large-Scale Combinatorial Multiobjective Optimization[J]. IEEE Transactions on Evolutionary Computation, 2024, 28(5): 1499-1513.
[9] KONG S W, YE Y J, WU Y Z, et al.Solving Combinatorial Optimization Problems Based on QUBO Models[C]//2024 4th International Symposium on Computer Technology and Information Science (ISCTIS). Xi’an, China. IEEE, 2024: 888-893.
[10] 韩光威, 李坚波, 沈相相. 一种基于改进遗传算法的多目标资源分配方法[J]. 舰船电子对抗, 2025, 48(5): 70-73.
HAN G W, LI J B, SHEN X X.A Multi-Objective Resource Allocation Method Based on Improved Genetic Algorithm[J]. Shipboard Electronic Countermeasure, 2025, 48(5): 70-73.
[11] PYATA A, NIKZAD M, VISHNUBHOTLA S S, et al.A Simulation-Based Approach for Assessment of Injection Moulded Part Quality Made of Recycled Olefins[J]. Materials Today: Proceedings, 2021, 46: 311-319.
[12] CHAVAN H A, WANI V P, SURYAWANSHI S R.Optimization of Number of Gates in Plastic Cladding Tool with the Help of Mold Flow Analysis[J]. Materials Today: Proceedings, 2026, 118: 91-96.
[13] TANG Y.Application of CAE for Mold Flow Analysis in Plastic Molding Mold Design[J]. Applied Mathematics and Nonlinear Sciences, 2024, 9: 20230132.
[14] FAROOQUE R, ASJAD M, RIZVI S J A. A Current State of Art Applied to Injection Moulding Manufacturing Process-a Review[J]. Materials Today: Proceedings, 2021, 43: 441-446.
[15] 陈曦. 注塑成型模具浇口位置优化算法研究进展[J]. 塑料科技, 2017, 45(2): 98-101.
CHEN X.Research Progress on Optimization Algorithm of Injection Molding Gate Location[J]. Plastics Science and Technology, 2017, 45(2): 98-101.
[16] LAM Y C, BRITTON G A, LIU D S.Optimisation of Gate Location with Design Constraints[J]. The International Journal of Advanced Manufacturing Technology, 2004, 24(7): 560-566.
[17] 李吉泉, 李德群, 郭志英. 面向翘曲变形的注塑模具浇口位置优化研究[J]. 电加工与模具, 2007(2): 47-49.
LI J Q, LI D Q, GUO Z Y.The Research on Gate Location Optimization of Injection Molding Based on Warpage[J]. Electromachining & Mould, 2007(2): 47-49.
[18] 李吉泉, 李德群, 郭志英. 基于特征翘曲度优化的注塑模浇口位置设计[J]. 中国机械工程, 2008, 19(2): 242-244.
LI J Q, LI D Q, GUO Z Y.Gate Location Design of Injection Molding Based on Feature Warpage Optimization[J]. China Mechanical Engineering, 2008, 19(2): 242-244.
[19] 陈曦, 王希诚. 基于改进遗传算法的浇口位置优化设计[J]. 塑料, 2014, 43(1): 108-110.
CHEN X, WANG X C.Optimization Design of Gate Location Based on Improved Genetic Algorithm[J]. Plastics, 2014, 43(1): 108-110.
[20] SEDIGHI R, MEIABADI M S, SEDIGHI M.Optimisation of Gate Location Based on Weld Line in Plastic Injection Moulding Using Computer-Aided Engineering, Artificial Neural Network, and Genetic Algorithm[J]. International Journal of Automotive and Mechanical Engineering, 2017, 14(3): 4419-4431.
[21] PERIN M, LIM Y, BERTI G A, et al.Single and Multiple Gate Design Optimization Algorithm for Improving the Effectiveness of Fiber Reinforcement in the Thermoplastic Injection Molding Process[J]. Polymers, 2023, 15(14): 3094.
[22] 余晓容, 申长雨, 李倩, 等. 基于流动平衡的注塑模浇口位置优化设计[J]. 高分子材料科学与工程, 2004, 20(3): 159-162.
YU X R, SHEN C Y, LI Q, et al.The Optimization of Gate Locations in Injection Molds Based on Flow Balance[J]. Polymeric Materials Science & Engineering, 2004, 20(3): 159-162.
[23] 李阳, 赵朋, 李德群, 等. 基于表面网格的塑料注射成型浇口位置优化[J]. 高分子材料科学与工程, 2011, 27(9): 171-174.
LI Y, ZHAO P, LI D Q, et al.Gate Location Optimization of Injection Molding Based on Fusion Mesh[J]. Polymer Materials Science & Engineering, 2011, 27(9): 171-174.
[24] 郑守银, 张凌波, 孙蒙蒙, 等. 基于表面网格与流长搜索的浇口位置优化设计[J]. 塑料, 2023, 52(3): 81-86.
ZHENG S Y, ZHANG L B, SUN M M, et al.Optimal Design of Gate Location Based on Surface Mesh and Flow Path Length Search Scheme[J]. Plastics, 2023, 52(3): 81-86.
[25] ZHOU H M, LI D Q.A Numerical Simulation of the Filling Stage in Injection Molding Based on a Surface Model[J]. Advances in Polymer Technology, 2001, 20(2): 125-131.
[26] IYANDA I A, OLATUNDE O S, OLUBISI A O, et al.Comparative Performance Analysis of Some Priority Queue Variants in Dijkstra’s Algorithm[J]. International Journal of Research and Scientific Innovation, 2025, 12(8): 917-925.
[27] 卢燚, 杨雨萌, 苏祖辉, 等. 一种集成约束规则库的停机位分配优化算法[J]. 航空计算技术, 2025, 55(4): 65-69.
LU Y, YANG Y M, SU Z H, et al.An Optimized Algorithm for Airport Gate Assignment Incorporating an Integrated Constraint Rule Base[J]. Aeronautical Computing Technique, 2025, 55(4): 65-69.

Funding

Central-guided Local S&T Development Special Project of Hubei Province(2024BGA002)
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