A Diversity-Preserving Multi-Objective PSO Framework for SFC Scheduling in a Digital Twin-Enabled IIoT Architecture Toward Industry 5.0
DOI:
https://doi.org/10.4108/eetsis.14352Keywords:
Industry 5.0, Industrial Internet of Things (IIoT), Service Function Chain (SFC) scheduling, ADP-MOPSO, Digital Twin, Discrete ManufacturingAbstract
INTRODUCTION: Under Industry 5.0, discrete manufacturing faces a fundamental dilemma: it must balance human-centric flexibility with sustainable and resilient operations. Resolving this dilemma requires the Industrial Internet of Things (IIoT) to coordinate and integrate the three types of heterogeneous resources—sensing, computing, and communication—found in factory workshops, production facilities, and assembly lines. We present an IIoT architecture centered on the digital twin, integrating these capabilities into a single closed-loop feedback chain to resolve resource contention issues at the source, that arise when various manufacturing tasks compete for limited computing power and network bandwidth.
OBJECTIVES: The architecture is physically divided into four layers—end devices, access, edge, and cloud—with each layer coupled via a global feedback channel based on the digital twin, giving the manufacturing environment end-to-end visibility and adaptive resource allocation. For SFC scheduling, we formulate a multi-objective optimization model that simultaneously considers three metrics—total end-to-end task delay, system-wide energy consumption, and inter-node load variance—while imposing hierarchical resource constraints inherent to multi-tier industrial deployments.
METHODS: The algorithm used to solve the above model is ADP-MOPSO, a multi-objective particle swarm optimization method that balances convergence and diversity. It integrates workload-aware heuristic initialization, a dynamic constraint repair operator, crowding-distance-based archive management, and roulette-wheel leader selection within a single PSO framework, whose strategies interact through an externally maintained elite archive.
RESULTS: We tested three IIoT scales based on real-world manufacturing deployment parameters (small, medium, and large; 12/32/64 nodes, 4/8/16 edge servers) and compared against five benchmark algorithms. Across all three scales, ADP-MOPSO achieved the best Hypervolume (HV) and Inverted Generational Distance (IGD) values and remained competitive with the strongest baselines on Spacing (SP). Ablation experiments showed that heuristic initialization contributes a 6.8% HV improvement, and the diversity-preserving module adds a further 4.2%, yielding an overall gain of 10.2%.
CONCLUSION: This study provides an integrated architecture-algorithm solution for real-time multi-objective resource optimization in Industry 5.0 manufacturing systems. Multi-scale simulations calibrated to industrial production settings confirm the effectiveness and scalability of the proposed approach.
References
[1] Polese M, Dohler M, Dressler F, et al. Empowering the 6G cellular architecture with open RAN. IEEE J. Sel. Areas Commun.2024;42(2):245-262.doi: 10.1109/JSAC.2023.3334610.
[2] Wymeersch H, Tervo N, Wanstedt S, et al. Cross-layer integrated sensing and communication: A joint industrial and academic perspective. IEEE Open J. Commun. Soc. 2025;6:6966-7015. doi: 10.1109/OJCOMS.2025.3595459.
[3] Gkonis PK, Giannopoulos A, Nomikos N, et al. A survey on architectural approaches for 6G networks: Implementation challenges, current trends, and future directions.Telecom.2025;6(2):27.doi: 10.3390/telecom6020027.
[4] Naeem F, Ali M, Kaddoum G, et al. Security and privacy for reconfigurable intelligent surface in 6G: A review of prospective applications and challenges. IEEE Open J. Commun.Soc.2023;4:1196-1217.doi: 10.1109/OJCOMS.2023.3273507.
[5] Ghobakhloo M, Mahdiraji HA, Iranmanesh M, et al. From Industry 4.0 digital manufacturing to Industry 5.0 digital society: a roadmap toward human-centric, sustainable, and resilient production. Inf. Syst. Front. 2024. doi: 10.1007/s10796-024-10476-z.
[6] Guo J, Leng J, Zhao JL, et al. Industrial metaverse towards Industry 5.0: Connotation, architecture, enablers, and challenges. J. Manuf. Syst.2024;76:25-42.doi: 10.1016/j.jmsy.2024.07.007.
[7] Alanezi K, Mishra S. An IoT architecture leveraging digital twins: Compromised node detection scenario. IEEE Syst. J. 2024;18(2):1224-1235. doi: 10.1109/JSYST.2024.3403500.
[8] Gao YL, Jiang LT, Shi TZ, et al. Weighted optimization beamforming algorithm for integrated sensing and communication in multi-user multi-target scenarios. J. Electron. Inf. Technol.2025;47(4):921-931.doi: 10.11999/JEIT240644.
[9] Saif FA, Latip R, Hanapi ZM, et al. Multi-objective grey wolf optimizer algorithm for task scheduling in cloud-fog computing. IEEE Access. 2023;11:20635-20646. doi: 10.1109/ACCESS.2023.3241240.
[10] Chen X, Li Y, Wang L, et al. Multi-objective grey wolf optimizer based on reinforcement learning for distributed hybrid flowshop scheduling towards mass personalized manufacturing. Expert Syst. Appl. 2025;264:125866. doi: 10.1016/j.eswa.2024.125866.
[11] Chen JB, Zhang ZZ, Cao ZG, et al. Neural multi-objective combinatorial optimization with diversity enhancement. In: Proceedings of the 37th Conference on Neural Information Processing Systems (NeurIPS); New Orleans, LA, USA. 2023. p. 39176-39188. doi: 10.48550/arXiv.2310.15195.
[12] Yan J, Hu G, Jia H, et al. GPSOM: Group-based particle swarm optimization with multiple strategies for engineering applications.J.Big Data.2025;12(1):114.doi: 10.1186/s40537-025-01140-7.
[13] Chen J, Zhao H, Cui Z, et al. Multilevel learning aided coevolutionary particle swarm optimization algorithm for multiobjective fuzzy flexible job shop scheduling problem. Sci. Rep. 2025;15:38932. doi: 10.1038/s41598-025-22881-8.
[14] Jiang SL, Liu Q, Bogle IDL, Zheng Z. A self-learning based dynamic multi-objective evolutionary algorithm for resilient scheduling problems in steelmaking plants. IEEE Trans. Automat. Sci. Eng. 2023;20(2):832-845. doi: 10.1109/TASE.2022.3168385.
[15] Li P, Guo S, Zeng Y, et al. Joint optimization of VNF assignment and SFC routing for robust and real-time symbiotic IoT services. IEEE Internet Things Journal. 2025;12(20):41365-41377. doi: 10.1109/JIOT.2025.3589522.
[16] Moazzeni S, Huang Z, Zeb S, et al. Federated intelligent service function chain orchestration in future 6G networks. IEEE Transactions on Network and Service Management. 2025;22(6):5690-5704.doi: 10.1109/TNSM.2025.3614346.
[17] Yao J, Xie Y, Mao Q, et al. Cost-aware SFC collaborative scaling based on multiagent RL with stackelberg game. IEEE Internet Things Journal. 2025;12(8):10253-10265. doi: 10.1109/JIOT.2024.3509433.
[18] Zhang Z, Aggarwal V, Lan T. Network diffuser for placing-scheduling service function chains with inverse demonstration. In: Proc. IEEE INFOCOM 2025; Piscataway: IEEE; 2025.p.1-10. doi: 10.1109/INFOCOM55648.2025.11044702.
[19] Hoang TT, Pham LM, Nguyen HS. LAVP: a latency-aware virtual network function placement strategy for service function chain in network function virtualization. IEEE Access. 2025;13:151327-151337. doi: 10.1109/ACCESS.2025.3603213.
[20] Zheng D, Peng C, Liao X, Cao X. Toward optimal hybrid service function chain embedding in multiaccess edge computing. IEEE Internet Things J. 2020;7(7):6035-6045. doi: 10.1109/JIOT.2019.2957961.
[21] Fang Y, Peng C, Lou P, Zhou Z, Hu J, Yan J. Digital-twin-based job shop scheduling toward smart manufacturing. IEEE Trans. Ind. Inform. 2019;15(12):6425-6435. doi: 10.1109/TII.2019.2938572.
[22] Wang Y, Fang JJ, Cheng Y, et al. Cooperative end-edge-cloud computing and resource allocation for digital twin enabled 6G industrial IoT. IEEE J. Sel. Top. Signal Process. 2024;18(1):124-137. doi: 10.1109/JSTSP.2023.3345154.
[23] Peng K, Huang H, Zhao B, et al. Intelligent computation offloading and resource allocation in IIoT with end-edge-cloud computing using NSGA-III. IEEE Trans. Netw. Sci. Eng.2023;10(5):3032-3046.doi: 10.1109/TNSE.2022.3155490.
[24] Liao H, Zhou Z, Liu N, et al. Cloud-edge-device collaborative reliable and communication-efficient digital twin for low-carbon electrical equipment management. IEEE Trans. Ind. Inform.2023;19(2):1715-1724.doi: 10.1109/TII.2022.3194840.
[25] Ye QL, Wang WL, Wang Z. Survey of multi-objective particle swarm optimization algorithms and their applications. J. Zhejiang Univ. (Eng. Sci.). 2024;58(6):1107-1120.doi:10.3785/j.issn.1008-973X.2024.06.002.
[26] Feng D, Li Y, Liu J, et al. A particle swarm optimization algorithm based on modified crowding distance for multimodal multi-objective problems. Appl. Soft Comput. 2024;152:111280. doi: 10.1016/j.asoc.2024.111280.
[27] Sun BS, Huang H, Chai ZY, et al. Multi-objective optimization algorithm for multi-workflow computation offloading in resource-limited IIoT. Swarm Evol. Comput. 2024;89:101646. doi: 10.1016/j.swevo.2024.101646.
[28] Zheng D, Fang H, Cao S, et al. Towards resources optimization in deploying service function chains with shared protection. Comput. Netw. 2024;248:110494. doi: 10.1016/j.comnet.2024.110494.
[29] Dang Q, Shang W, Huang Z, et al. Constrained multi-objective optimization assisted by convergence and diversity auxiliary tasks. Eng.Appl. Artif. Intell. 2025;139:109546. doi: 10.1016/j.engappai.2024.109546.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Feng Wang, Ning Wu

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
This is an open access article distributed under the terms of the CC BY-NC-SA 4.0, which permits copying, redistributing, remixing, transformation, and building upon the material in any medium so long as the original work is properly cited.