journal article·2025-11-11Open access

Efficient Surrogate-Based Optimization of Prefractionation Column Using Self-Adaptive Kriging Model with Modified Firefly Algorithm

Yifan Huang, Qibing Jin, Bin Wang

Applied Sciences· Volume 15· Issue 22

Abstract

The optimization of distillation columns is critically important due to their substantial contribution to operational costs in the petrochemical industry. This paper introduces a computationally efficient surrogate-based optimization framework designed explicitly for prefractionation columns. To address the challenges of high computational cost and model accuracy in model-based optimization, a self-adaptive Kriging model, which features automated hyperparameter tuning via Bayesian optimization, is implemented and trained using Latin hypercube sampling of historical process data. By integrating a self-adaptive Kriging model with a modified firefly algorithm, the framework efficiently identifies optimal operating conditions that maximize economic profit while adhering to operational constraints. Case studies demonstrate that the proposed framework achieves superior economic performance, increasing the average final profit by 0.17–0.31% compared to non-adaptive surrogate benchmarks. Furthermore, it is exceptionally stable, achieving a minimal relative standard deviation of only 0.037% in the final profit across 30 independent runs, significantly lower than the 0.266% and 0.237% achieved by the benchmark methods. This study provides a practical and efficient tool to optimize complex distillation columns with limited computational resources.
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Research context

OpenAlex topics: Process Optimization and Integration · Advanced Control Systems Optimization · Advanced Multi-Objective Optimization Algorithms

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Institute of Automation, College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China

References (42)

Show source-provided references
1. Ye, L., Zhang, N., Li, G., Gu, D., Lu, J., and Lou, Y. (2023). Intelligent Optimization Design of Distillation Columns Using Surrogate Models Based on GA-BP. Processes, 11.10.3390/pr11082386 ↗
2. Xue, F., Liu, L., Chen, X., Shi, X., and IEEE (2019, January 10–13). Crude Oil Distillation Optimization Using Surrogate-aided Constrained Evolutionary Optimization. Proceedings of the 2019 IEEE Congress on Evolutionary Computation (CEC), Wellington, New Zealand.10.1109/CEC.2019.8790122 ↗
3. Optimization-Based Design of Crude Oil Distillation Units Using Surrogate Column Models and a Support Vector Machine10.1016/j.cherd.2018.03.006 ↗
4. Global Optimization of Distillation Columns Using Surrogate Models10.1007/s42452-018-0008-9 ↗
5. Cutpoint Temperature Surrogate Modeling for Distillation Yields and Properties10.1021/acs.iecr.0c02868 ↗
6. Data-Driven Strategies for Extractive Distillation Unit Optimization10.1016/j.compchemeng.2022.107970 ↗
7. An Efficient Surrogate Model-Based Method for Deep-Towed Seismic System Optimization10.1016/j.oceaneng.2022.113463 ↗
8. Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network10.1109/TSMC.2020.3044418 ↗
9. A Gaussian Process Surrogate Model Assisted Evolutionary Algorithm for Medium Scale Expensive Optimization Problems10.1109/TEVC.2013.2248012 ↗
10. A Genetic Programming Approach for Construction of Surrogate Models10.1016/B978-0-12-818597-1.50072-2 ↗
11. Hybrid Semi-parametric Modeling in Separation Processes: A Review10.1002/cite.202000025 ↗
12. Rigorous Design of Distillation Columns Using Surrogate Models Based on Kriging Interpolation10.1002/aic.14798 ↗
13. Neural Network Programming: Integrating First Principles into Machine Learning Models10.1016/j.compchemeng.2022.107858 ↗
14. Exploring Nontraditional LSTM Architectures for Modeling Demethanizer Column Operations10.1016/j.compchemeng.2024.108591 ↗
15. Surrogate Modeling-Based Multi-Objective Optimization for the Integrated Distillation Processes10.1016/j.cep.2020.108224 ↗
16. Physics Informed Piecewise Linear Neural Networks for Process Optimization10.1016/j.compchemeng.2023.108244 ↗
17. Energy Efficiency Optimisation for Distillation Column Using Artificial Neural Network Models10.1016/j.energy.2016.03.051 ↗
18. Rasmussen, C.E., and Williams, C.K.I. (2005). Gaussian Processes for Machine Learning, The MIT Press.10.7551/mitpress/3206.001.0001 ↗
19. Global Sensitivity Analysis and Uncertainty Quantification of Crude Distillation Unit Using Surrogate Model Based on Gaussian Process Regression10.1021/acs.iecr.7b05173 ↗
20. Optimization of Chemical Processes Using Surrogate Models Based on a Kriging Interpolation10.1016/B978-0-444-63578-5.50025-6 ↗
21. Hybrid Modelling for Combined Design Optimization of CO2 Removal and Compression in Raw Natural Gas Treatment Complexes10.1016/j.cherd.2021.07.004 ↗
22. Developing New Products with Kernel Partial Least Squares Model Inversion10.1016/j.compchemeng.2021.107537 ↗
23. Novel Control-Aware Fault Detection Approach for Non-Stationary Processes via Deep Learning-Based Dynamic Surrogate Modeling10.1016/j.psep.2023.02.023 ↗
24. Objective Function Proposed for Optimization of Convective Heat Transfer Devices10.1016/j.ijheatmasstransfer.2012.02.003 ↗
25. Liu, Z., Mei, J., Wang, D., Guo, Y., and Wu, L. (2023). A Novel Damage Identification Method for Steel Catenary Risers Based on a Novel CNN-GRU Model Optimized by PSO. J. Mar. Sci. Eng., 11.10.3390/jmse11010200 ↗
26. Xiong, Y., Shi, X., Ma, Y., and Chen, Y. (2023). Optimization Design of Crude Oil Distillation Unit Using Bi-Level Surrogate Model. Front. Control Eng., 4.10.3389/fcteg.2023.1162318 ↗
27. Data Driven State Monitoring of Maglev System With Experimental Analysis10.1109/ACCESS.2020.2988772 ↗
28. Efficient Global Optimization of Expensive Black-Box Functions10.1023/A:1008306431147 ↗
29. Taking the Human Out of the Loop: A Review of Bayesian Optimization10.1109/JPROC.2015.2494218 ↗
30. Optimal Control Approach for Nonlinear Chemical Processes with Uncertainty and Application to a Continuous Stirred-Tank Reactor Problem10.1016/j.arabjc.2022.104257 ↗
31. A QCQP-based Splitting SQP Algorithm for Two-Block Nonconvex Constrained Optimization Problems with Application10.1016/j.cam.2020.113368 ↗
32. Inexact Sequential Quadratic Optimization with Penalty Parameter Updates within the QP Solver10.1137/18M1176488 ↗
33. A Comprehensive Review of Firefly Algorithms10.1016/j.swevo.2013.06.001 ↗
34. A Novel Quantum Firefly Algorithm for Global Optimization10.1007/s13369-021-05608-5 ↗
35. Firefly Algorithm for Discrete Optimization Problems: A Survey10.1007/s12205-017-1501-1 ↗
36. A Novel Hybrid Firefly–Whale Optimization Algorithm and Its Application to Optimization of MPC Parameters10.1007/s00500-021-06441-6 ↗
37. Firefly Algorithm with Chaos10.1016/j.cnsns.2012.06.009 ↗
38. Optimal Design of Flexible Heat-Integrated Crude Oil Distillation Units Using Surrogate Models10.1016/j.cherd.2020.09.014 ↗
39. Large Sample Properties of Simulations Using Latin Hypercube Sampling10.1080/00401706.1987.10488205 ↗
40. Scikit-Learn: Machine Learning in Python
41. SMT 2.0: A Surrogate Modeling Toolbox with a Focus on Hierarchical and Mixed Variables Gaussian Processes10.1016/j.advengsoft.2023.103571 ↗
42. Firefly Algorithm: Recent Advances and Applications