Parallel middle body lengthening for high speed craft: A machine learning supported framework

Authors

  • Muhammad Raaflie Caesar Putra Hadi Department Naval Architecture, Faculty of Technology, Diponegoro University, Tembalang, Semarang, Central Java 50275, Indonesia
  • Deddy Chrismianto Department Naval Architecture, Faculty of Technology, Diponegoro University, Tembalang, Semarang, Central Java 50275, Indonesia
  • Ahmad Firdhaus Department Naval Architecture, Faculty of Technology, Diponegoro University, Tembalang, Semarang, Central Java 50275, Indonesia
  • Eko Sasmito Hadi Department Naval Architecture, Faculty of Technology, Diponegoro University, Tembalang, Semarang, Central Java 50275, Indonesia

DOI:

https://doi.org/10.33175/mtr.2026.284510

Keywords:

Parallel middle body (PMB); Fast passenger monohull; Hydrostatics and stability; Longitudinal strength; Resistance prediction; Machine learning surrogate; Gradient Boosting

Abstract

Fast passenger craft play a strategic role in maritime transport, yet early-stage hull-form modifications are often constrained by competing requirements in resistance, stability, and structural strength. Rather than pursuing a clean-sheet redesign, this study adopts parallel middle body (PMB) lengthening as a controlled intervention that preserves validated bow-stern geometry and is compatible with practical retrofit and construction constraints. A fast passenger monohull is incrementally lengthened from 29.8 to 35.8 m through PMB extension, generating 61 variants in 0.10 m steps; the maximum 6 m increase reflects supplier limits on modular insert fabrication and the need to avoid extensive reconfiguration of internal systems (e.g., piping routes). For each variant, hydrostatics, intact transverse stability, longitudinal strength, and calm-water resistance/running attitude are evaluated using a semi-empirical framework; resistance is assessed at the service condition and through a Froude-number sweep (Fr = 0.10 - 0.40) for regime-based interpretation. The results show consistent improvements in hydrostatics and stability, smoother longitudinal load distributions, and reduced total resistance at the target operating condition, primarily driven by lower residuary resistance. To accelerate design-space exploration, supervised-learning surrogates are benchmarked across five regressors, with ensemble methods, particularly Gradient Boosting, providing the highest predictive fidelity for nonlinear performance trends. A multi-criteria ranking-and-scoring procedure identifies an optimal length of 35.4 m, balancing resistance reduction with stability enhancement and strength compliance. Overall, the PMB machine learning (ML) framework offers an efficient and transparent pathway for early-stage decision making in high-speed monohull design.

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Cite this article:

APA Style:
Hadi, M. R. C. P., Chrismianto, D., Firdhaus, A., & Hadi, E. S. (2026). Parallel middle body lengthening for high speed craft: A machine learning supported framework. Maritime Technology and Research, 8(2), 284510. https://doi.org/10.33175/mtr.2026.284510

 

MDPI Style:
Hadi, M. R. C. P., Chrismianto, D., Firdhaus, A., & Hadi, E. S. Parallel middle body lengthening for high speed craft: A machine learning supported framework. Marit. Technol. Res. 2026, 8(2), 284510. https://doi.org/10.33175/mtr.2026.284510

 

Vancouver Style:
Hadi, M. R. C. P., Chrismianto, D., Firdhaus, A., & Hadi, E. S. (2026). Parallel middle body lengthening for high speed craft: A machine learning supported framework. Marit. Technol. Res. 8(2): 284510. https://doi.org/10.33175/mtr.2026.284510

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Highlights

  • PMB extension offers a practical strategy to improve vessel capacity and efficiency without a complete redesign.
  • Tree-based ensemble learning provides high-fidelity predictions for parametric hull form optimization.
  • Data-driven surrogates accelerate early-stage decision-making by rapidly evaluating dense design spaces.

References

Ahn, Y., Lee, J. H., & Kim, Y. (2022). Application of machine learning for prediction of wave-induced ship motion (pp. 2067-2071). In Proceedings of the International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers. https://www.scopus.com/pages/publications/85142160156

Alamsyah, A., Fikri, M., Suardi, S., Pawara, M. U., Ikhwani, R. J., Setiawan, W., & Paroka, D. (2024). Comparative assestment of the effect of changing the Breadth (B) of the ship on the stability of the Tugboat. TransNav, 18(4), 905-914. https://doi.org/10.12716/1001.18.04.17

Alshareef, M. H., & Alghanmi, A. F. (2024). Optimizing Maritime Energy Efficiency: A machine learning approach using deep reinforcement learning for EEXI and CII compliance. Sustainability (Switzerland), 16(23), 10534. https://doi.org/10.3390/su162310534

Ao, Y., Li, Y., Gong, J., & Li, S. (2022). Artificial intelligence design for ship structures: A variant multiple-input neural network-based ship resistance prediction. Journal of Mechanical Design, 144(9), 091707. https://doi.org/10.1115/1.4053816

Avci, A. G., & Barlas, B. (2018). An experimental and numerical study of a high speed planing craft with full-scale validation. Journal of Marine Science and Technology (Taiwan), 26(5), 617-628. https://doi.org/10.6119/JMST.201810_26(5).0001

Bagazinski, N. J., & Ahmed, F. (2023). SHIP-D: Ship hull dataset for design optimization using machine learning. In Proceedings of the ASME Design Engineering Technical Conference. Boston, Massachusetts, USA. https://doi.org/10.1115/DETC2023-117003

Balas, E. A., & Balas, C. E. (2025). Maritime risk assessment: A cutting-edge hybrid model integrating automated machine learning and deep learning with hydrodynamic and Monte Carlo simulations. Journal of Marine Science and Engineering, 13(5), 939. https://doi.org/10.3390/jmse13050939

Barhrhouj, A., Ananou, B., & Ouladsine, M. (2025). Exploring explainable machine learning for enhanced ship performance monitoring. Lecture Notes in Computer Science, 15509, 1-13. https://doi.org/10.1007/978-3-031-82484-5_1

Baso, S., Ardianti, A., & Anggriani, A. D. E. (2021). An extended validation of free CFD application to ship resistance prediction for using in preliminary design stage. Journal of Engineering Science and Technology, 16(3), 2544-2561.

Baso, S., Bochary, L., Hasbullah, M., Anggriani, A. D. E., & Ardianti, A. (2020). Investigating the performance characteristics of a semi-planing ship hull at high speed. IOP Conference Series: Materials Science and Engineering, 875(1), 012076. https://doi.org/10.1088/1757-899X/875/1/012076

Bassam, A. M., Phillips, A. B., Turnock, S. R., & Wilson, P. A. (2022). Ship speed prediction based on machine learning for efficient shipping operation. Ocean Engineering, 245, 110449. https://doi.org/10.1016/j.oceaneng.2021.110449

Bassam, A. M., Phillips, A. B., Turnock, S. R., & Wilson, P. A. (2023). Artificial neural network based prediction of ship speed under operating conditions for operational optimization. Ocean Engineering, 278, 114613. https://doi.org/10.1016/j.oceaneng.2023.

Begović, E., Rinauro, B., & Cakici, F. (2020). Application of the second generation intact stability criteria for fast semi displacement ships (pp. 325-331). In Proceedings of the 18th International Congress of the International Maritime Association of the Mediterranean. CRC Press/Balkema.

Blount, D. L., & McGrath, J. A. (2009). Resistance characteristics of semi-displacement mega yacht hull forms. Transactions of the Royal Institution of Naval Architects Part B: International Journal of Small Craft Technology, 151(2), 19-30. https://doi.org/10.3940/rina.ijsct.2009.b2.95

Bozzo, S., Ferrando, M., & Villa, D. (2025). Analysis of the virtual towing tank accuracy by means of a new EFD database. Progress in Marine Science and Technology, 10, 241-251. https://doi.org/10.3233/PMST250032

Brizzolara, S., Vernengo, G., Pasquinucci, C. A., & Harries, S. (2015). Significance of parametric hull form definition on hydrodynamic performance optimization (pp. 254-265). In Muscari, R., Broglia, R., & Salvatore, F. (Eds.). Computational Methods in Marine Engineering VI. International Center for Numerical Methods in Engineering. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938823078&partnerID=40&md5=ebd5f58bdf19ae4186302a763f24a5e3

Bulut, S. (2025). CFD-based keel and stern form optimization of Tirhandils. Proceedings of the Institution of Mechanical Engineers Part M: Journal of Engineering for the Maritime Environment, 239(3), 503-518. https://doi.org/10.1177/14750902251332719

Callens, A., Morichon, D., Abadie, S., Delpey, M., & Liquet, B. (2020). Using Random forest and Gradient boosting trees to improve wave forecast at a specific location. Applied Ocean Research, 104. https://doi.org/10.1016/j.apor.2020.102339

Chicco, D., Warrens, M. J., & Jurman, G. (2021). The coefficient of determination R-squared is more informative than SMAPE, MAE, MAPE, MSE and RMSE in regression analysis evaluation. PeerJ Computer Science, 7, 1-24. https://doi.org/10.7717/PEERJ-CS.623

Cui, X., Bharadwaj, U. R., & Zhou, P. (2018). A framework for multi-criteria decision analysis (Mcda) applied to conceptual stage of ship design. Maritime Transportation and Harvesting of Sea Resources, 2, 897-904.

Djačkov, V., Žapnickas, T., Čerka, J., Mickevičienė, R., Ašmontas, Ž., Norkevičius, L., Ronkaitytė, I., Zhou, P., & Blanco-Davis, E. (2018). Numerical simulation of a research vessel’s aftpart hull form. Ocean Engineering, 169, 418-427. https://doi.org/10.1016/j.oceaneng.2018.09.030

Drouet, A., Sergent, P., Causeur, D., & Corrignan, P. (2017). Trim optimisation in waves (pp. 592-603). In Proceedings of the 7th International Conference on Computational Methods in Marine Engineering. International Center for Numerical Methods in Engineering.

Echeverria, F., Leon, M., Esteves, Z., & Redroban, C. (2022). Variation of the intercession coefficient used as a hyper parameter in machine learning in regression models. Communications in Computer and Information Science, 1547, 3-19.

Elkafas, A. G., Khalil, M., Shouman, M. R., & Elgohary, M. M. (2021). Environmental protection and energy efficiency improvement by using natural gas fuel in maritime transportation. Environmental Science and Pollution Research, 28(43), 60585-60596. https://doi.org/10.1007/s11356-021-14859-6

Fan, A., Wang, Y., Yang, L., Tu, X., Yang, J., & Shu, Y. (2024). Comprehensive evaluation of machine learning models for predicting ship energy consumption based on onboard sensor data. Ocean and Coastal Management, 248, 106946. https://doi.org/10.1016/j.ocecoaman.2023.106946

Feng, Y., el Moctar, O., & Jiang, C. (2025). Hydrodynamic optimization of containership design to minimize wave-making and wave-added resistance using a weak-scatterer approach. Physics of Fluids, 37(2), 027146. https://doi.org/10.1063/5.0252310

Ferlita, A. L., Ley, J., Qi, Y., Schellin, T. E., Nardo, E. D., El Moctar, O., & Ciaramella, A. (2024). Data-driven model assessment: A comparative study for ship response determination. Ocean Engineering, 314, 119711. https://doi.org/10.1016/j.oceaneng.2024.119711

Ferlita, A. L., Qi, Y., Nardo, E. D., El Moctar, O., Schellin, T. E., & Ciaramella, A. (2024). A framework of a data-driven model for ship performance. Ocean Engineering, 309, 118486. https://doi.org/10.1016/j.oceaneng.2024.118486

Gafter, R., & Drimer, N. (2021). A design method to assess the primary strength of the delta-type VLFS. Journal of Marine Science and Engineering, 9(9), 1026. https://doi.org/10.3390/jmse9091026

Garbatov, Y., & Huang, Y. C. (2020). Multiobjective reliability-based design of ship structures subjected to fatigue damage and compressive collapse. Journal of Offshore Mechanics and Arctic Engineering, 142(5), 051701. https://doi.org/10.1115/1.4046378

Ghadimi, P., Sajedi, S. M., & Tavakoli, S. (2018). Experimental study of the wedge effects on the performance of a hard-chine planing craft in calm water. Scientia Iranica, 26(3B), 1316-1334. https://doi.org/10.24200/sci.2018.20607

Hadler, J. B., Kleist, J. L., & Unger, M. L. (2007). On the effect of transom area on the resistance of hi-speed mono-hulls (pp. 177-184). In Proceedings of the 9th International Conference on Fast Sea Transportation. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84874160013&partnerID=40&md5=047573a5a591301e4da53c5ed21c9813

Hasan, S. M. R., Islam, M. S., Awal, Z. I., & Hossain, K. A. (2025). Prediction and optimization of efficient ship design particulars through advanced machine learning approaches. Ocean Engineering, 341(2), 122572. https://doi.org/10.1016/j.oceaneng.2025.122572

Hassanat, A. B., Alqaralleh, M. K., Tarawneh, A. S., Almohammadi, K., Alamri, M., Alzahrani, A., Altarawneh, G. A., & Alhalaseh, R. (2024). A novel outlier-robust accuracy measure for machine learning regression using a non-convex distance metric. Mathematics, 12(22), 3623. https://doi.org/10.3390/math12223623

Helmore, P. J., Scott, F. W., & Wong, D. I. H. (2010). Resistance prediction for round-bilge and hard-chine catamarans (pp. 278-292). In Proceedings of the International Maritime Conference 2010. https://www.scopus.com/inward/record.uri?eid=2-s2.0-77954179312&partnerID=40&md5=580f20456706b586a2bce077548df3da

Hetharia, W. R, Hage, A., & Rigo, P. (2021). A review of Savitsky pre-planning method to the resistance of semi-displacement passenger ships. AIP Conference Proceedings, 2409, 020021. https://doi.org/10.1063/5.0067984

Hetharia, W. R. (2018). Preliminary study on stability parameters of semi-displacement ships. Applied Mechanics and Materials, 874, 105-113. https://doi.org/10.4028/www.scientific.net/amm.874.105

Honaryar, A., Ghiasi, M., Liu, P., & Honaryar, A. (2021). A new phenomenon in interference effect on catamaran dynamic response. International Journal of Mechanical Sciences, 190, 106041. https://doi.org/10.1016/j.ijmecsci.2020.106041

Huynh, Q. V, & Tran, T. G. (2023). Methods to improve accuracy of planing hull resistance prediction. Journal of Ship Research, 67(3), 184-196. https://doi.org/10.5957/JOSR.05210016

Iqbal, M., Trimulyono, A., Samuel, & Mursid, O. (2025). Study of applicability in minimising pitch radius gyration for different hull types to improve seakeeping performance. Journal of Marine Science and Engineering, 13(9), 1734. https://doi.org/10.3390/jmse13091734

Islam, H., Ventura, M., Guedes Soares, C., Tadros, M., & Abdelwahab, H. S. (2022). Comparison between empirical and CFD based methods for ship resistance and power prediction. Marine Technology and Ocean Engineering, 1, 347-357. https://doi.org/10.1201/9781003320272-38

Ivanov, L. D. (2007). On the relationship between maximum still water shear forces, bending moments, and radii of gyration of the total ship’s weight and buoyancy forces. Ships and Offshore Structures, 2(1), 39-47. https://doi.org/10.1533/saos.2006.0147

Jürgens, D., Palm, M., Perić, M., & Schreck, E. (2008). Prediction of resistance of floating vessels (pp. 19-25). In Proceedings of the RINA - International Conference - Marine CFD 2008. https://www.scopus.com/inward/record.uri?eid=2-s2.0-55349100218&partnerID=40&md5=00dcffea100048071bf813cc57ec27f5

Kanazawa, M., Wang, T., Skulstad, R., Li, G., & Zhang, H. (2023). Physics-data cooperative ship motion prediction with onboard wave radar for safe operations. In Proceedings of the IEEE International Symposium on Industrial Electronics. Helsinki, Finland. https://doi.org/10.1109/ISIE51358.2023.10228113

Khazaee, R., Rahmansetayesh, M. A., & Hajizadeh, S. (2019). Hydrodynamic evaluation of a planing hull in calm water using RANS and Savitsky’s method. Ocean Engineering, 187, 106221. https://doi.org/10.1016/j.oceaneng.2019.106221

Lang, X., Wu, D., & Mao, W. (2022a). Comparison of supervised machine learning methods to predict ship propulsion power at sea. Ocean Engineering, 245, 110387. https://doi.org/10.1016/j.oceaneng.2021.110387

Lang, X., Wu, D., & Mao, W. (2022b). A machine learning ship’s speed prediction model and sailing time control strategy (pp. 3598-3605). In Proceedings of the International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141898295&partnerID=40&md5=f79dc3a2049d73e8f50eb3078dd08112

Lang, X., Wu, D., & Mao, W. (2021). Benchmark study of supervised machine learning methods for a ship speed-power prediction at sea. In Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering. Ocean, Offshore and Arctic Engineering Division. https://doi.org/10.1115/OMAE2021-62395

Le, T. H., Anh, N. D., Tu, T. N., Hoa, N. T. N., & Ngoc, V. M. (2023). Numerical investigation of length to beam ratio effects on ship resistance using ranse method. Polish Maritime Research, 30(1), 13-24. https://doi.org/10.2478/pomr-2023-0002

Leal-Ruiz, L. D., Camargo-Díaz, C. P., Paipa-Sanabria, E., Castro-Faccetti, C., & Candelo-Becerra, J. E. (2023). Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft. Journal of Marine Science and Engineering, 11(12), 2328. https://doi.org/10.3390/jmse11122328

Lin, D., Prasanta, S. K., & Hamid, H. (2020). Application of michell’s integral to high-speed round-bilge hull forms. Journal of Ship Production and Design, 36(3), 189-201. https://doi.org/10.5957/JSPD.08170041

Liu, X., Yang, J., Wu, D., Hou, L., Li, X., & Wan, Q. (2023). Numerical analysis of resistance characteristics of a novel high-speed quadramaran. Polish Maritime Research, 30(2), 11-27. https://doi.org/10.2478/pomr-2023-0018

Ma, M., Paik, J. K., & McNatt, T. (2016). Hierarchically decomposed multi-level optimization for ship structural design. In Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering. Ocean, Offshore and Arctic Engineering Division. https://doi.org/10.1115/OMAE2016-54452

Mavroudis, S., & Tinga, T. (2025). Application of transfer learning on physics-based models to enhance vessel shaft power predictions. Ocean Engineering, 323, 120540. https://doi.org/10.1016/j.oceaneng.2025.120540

Mohamad Ayob, A. F., Ray, T., & Smith, W. F. (2010). Hydrodynamic design optimization of a hard chine planing craft for coastal surveillance (pp. 73-82). In Proceedings of the International Maritime Conference 2010. https://www.scopus.com/inward/record.uri?eid=2-s2.0-77954199826&partnerID=40&md5=c1f1ac7fe2c63748c13fbbdc2306aa92

Mohammed, E. A., Benson, S. D., Hirdaris, S. E., & Dow, R. S. (2016). Design safety margin of a 10,000 TEU container ship through ultimate hull girder load combination analysis. Marine Structures, 46, 78-101. https://doi.org/10.1016/j.marstruc.2015.12.003

Montero, F. M., & Valentina, E. D. (2017). Influence of design choices on seakeeping of motor yachts. In Proceedings of the Royal Institution of Naval Architects - International Conference on Design and Construction of Super and Mega Yachts 2017. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85064448015&partnerID=40&md5=6382f8e9f32699f4c8df8bfee095c7e7

Paredes, R. J., Plaza, D., Marin-Lopez, J. R., Begovic, E., & Datla, R. (2023). Preliminary assesment of the effect of bottom warp on the dynamics of planing hulls using OpenFOAM. Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 7. Ocean, Offshore and Arctic Engineering Division. https://doi.org/10.1115/OMAE2023-104777

Park, S. H., & Cho, S. R. (2023). Predicting ship’s ultimate longitudinal strength considering the lateral pressure loading (pp. 393-400). In Proceedings of the 9th International Conference on Marine Structures. CRC Press/Balkema. https://doi.org/10.1201/9781003399759-43

Pawłowski, M. (2017). The stability of a freely floating ship. Transactions of the Royal Institution of Naval Architects Part A: International Journal of Maritime Engineering, 159, 1-25. https://doi.org/10.3940/rina.ijme.2017.al.375

Peri, D., & Campana, E. F. (2005). High-fidelity models in global optimization. Lecture Notes in Computer Science, 3478, 112-126. https://doi.org/10.1007/11425076_9

Sajedi, S. M., & Ghadimi, P. (2020). Experimental and numerical investigation of stepped planing hulls in finding an optimized step location and analysis of its porpoising phenomenon. Mathematical Problems in Engineering, 2020, 3580491. https://doi.org/10.1155/2020/3580491

Salazar-Domínguez, C. M., Hernández-Hernández, J., Rosas-Huerta, E. D., Iturbe-Rosas, G. E., & Herrera-May, A. L. (2021). Structural analysis of a barge midship section considering the still water and wave load effects. Journal of Marine Science and Engineering, 9(1), 1-21. https://doi.org/10.3390/jmse9010099

Samuel, Praja, R. K., Chrismianto, D., Hakim, M. L., Fitriadhy, A., & Bahatmaka, A. (2024). Advancing interceptor design: Analyzing the impact of extended stern form on deep-V planing hulls. CFD Letters, 16(5), 59-77. https://doi.org/10.37934/cfdl.16.5.5977

Schirmann, M. L., Gose, J. W., & Collette, M. D. (2023). A comparison of physics-informed data-driven modeling architectures for ship motion predictions. Ocean Engineering, 286, 115608. https://doi.org/10.1016/j.oceaneng.2023.115608

Seo, J., Kim, D., & Lee, I. (2024). A study on ship hull form transformation using convolutional autoencoder. Journal of Computational Design and Engineering, 11(1), 34-48. https://doi.org/10.1093/jcde/qwad111

Smirlis, Y., & Bonazountas, M. (2020). A composite indicators approach to assisting decisions in ship LCA/LCC (pp. 143-150). In Proceedings of the International Conference on Operations Research and Enterprise Systems. Science and Technology Publications. https://doi.org/10.5220/0008895401430150

Soma, G. C., & Vijayakumar, R. (2023). Hydrodynamic performance of high-speed displacement vessel with hull vane. Ocean Engineering, 285(1), 115362. https://doi.org/10.1016/j.oceaneng.2023.115362

Tamunodukobipi, D., & Nitonye, S. (2019). Numerical analysis of the RAP characteristics of a Catamaran vessel for niger delta pliability. Journal of Power and Energy Engineering, 7(10), 1-20. https://doi.org/10.4236/jpee.2019.710001

Tatsumi, A., Iijima, K., & Fujikubo, M. (2022). Estimation of still-water bending moment of ship hull girder using beam finite element model and ensemble Kalman Filter. In Proceedings of the Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering. Ocean, Offshore and Arctic Engineering Division. https://doi.org/10.1115/OMAE2022-78630

Temple, D. W., & Collette, M. (2016). Understanding the trade-offs between producibility and resistance for differing vessels and missions. Journal of Ship Production and Design, 32(1), 59-70. https://doi.org/10.5957/JSPD.32.1.140013

Trinh, L. T., Hamagami, T., & Okamoto, N. (2024). 3D ship hull design direct optimization using generative adversarial network. Journal of Advanced Computational Intelligence and Intelligent Informatics, 28(3), 693-703. https://doi.org/10.20965/jaciii.2024.p0693

Villa, D., Gaggero, S., Coppede, A., & Vernengo, G. (2020). Parametric hull shape variations by Reduced Order Model based geometric transformation. Ocean Engineering, 216, 107826. https://doi.org/10.1016/j.oceaneng.2020.107826

Wang, H., Zhu, R. C., Xu, D. K., & Li, C. F. (2023). LCG effects on resistance performance of a planing hull in calm water. Chuan Bo Li Xue/Journal of Ship Mechanics, 27(6), 803-815. https://doi.org/10.3969/j.issn.1007-7294.2023.06.003

Wang, P., Chen, Z., & Feng, Y. (2021). Many-objective optimization for a deep-sea aquaculture vessel based on an improved RBF neural network surrogate model. Journal of Marine Science and Technology (Japan), 26(2), 582-605. https://doi.org/10.1007/s00773-020-00756-z

Wei, X., Chang, H., Feng, B., Liu, Z., & Huang, C. (2019). Hull form reliability-based robust design optimization combining polynomial chaos expansion and maximum entropy method. Applied Ocean Research, 90, 101860. https://doi.org/10.1016/j.apor.2019.101860

Wei, Y., Sun, G., & Wan, D. (2023). Hull form optimization using bayesian optimization framework (pp. 3656-3662). In Proceedings of the International Society of Offshore and Polar Engineers. International Society of Offshore and Polar Engineers. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85188741592&partnerID=40&md5=571f3c566cf77caf0c395ee3628d90d1

Zhan, Y., Zhang, H., Li, J., & Li, G. (2022). Prediction method for ocean wave height based on stacking ensemble learning model. Journal of Marine Science and Engineering, 10(8), 1150. https://doi.org/10.3390/jmse10081150

Zhang, C., & Mao, X. (2009). Hull form automatic generation based on form parameters. Wuhan Ligong Daxue Xuebao (Jiaotong Kexue Yu Gongcheng Ban)/Journal of Wuhan University of Technology (Transportation Science and Engineering), 33(4), 675-678. https://www.scopus.com/inward/record.uri?eid=2-s2.0-70349857663&partnerID=40&md5=5bb0d6fdf56affc5e7c11baa464cb6d7

Zhao, Z. L., Yang, B. C., & Zhou, Z. R. (2024). Numerical investigation on a high-speed transom stern ship advancing in shallow water. Journal of Marine Science and Engineering, 12(6), 867. https://doi.org/10.3390/jmse12060867

Zheng, Q., Feng, B. W., Liu, Z. Y., & Chang, H. C. (2021). Application of improved particle swarm optimisation algorithm in hull form optimisation. Journal of Marine Science and Engineering, 9(9), 955. https://doi.org/10.3390/jmse9090955

Zou, J., Lu, S., Sun, H., Zan, L., & Cang, J. (2021). Experimental study on motion behavior and longitudinal stability assessment of a trimaran planing hull model in calm water. Journal of Marine Science and Engineering, 9(2), 164. https://doi.org/10.3390/jmse9020164

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2026-02-20