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An Enhanced Logic-Based Bender’s Decomposition Algorithm with Proximity Principle for Simulator-Based Distillation Process Optimization

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Publicado en:Processes vol. 13, no. 4 (2025), p. 977
Autor principal: Tian Chenshan
Otros Autores: Zhang, Xiaodong, Yang, Lan, Sun, Jinsheng
Publicado:
MDPI AG
Materias:
Lower bounds
Algorithms
Complex variables
Optimization
Decomposition
Approximation
Convergence
Energy consumption
Superstructures
Nonlinear programming
Evolutionary algorithms
Logic
Adaptive algorithms
Mathematical programming
Evolutionary computation
Heat exchangers
Effectiveness
Variables
Distillation
Convex analysis
Design
Linear programming
Methods
Mixed integer
Nonlinear equations
Evolution
Acceso en línea:Citation/Abstract
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Resumen:The optimization of distillation processes is particularly challenging due to the presence of nonlinear equations and integer variables, resulting in complex mixed-integer nonlinear programming (MINLP) problems. This work introduces an enhanced optimization algorithm, the logic-based proximity principle Bender’s decomposition (LB-PBD), to address non-convex MINLP issues in simulator-based distillation optimization. The key innovation, the proximity principle, improves lower bound predictions by prioritizing information from the closest known integer solutions. Additionally, the integration of a multi-start points strategy and a delayed convergence strategy ensures the algorithm achieves global optimality while avoiding premature convergence. The effectiveness if the proposed LB-PBD is validated through three case studies. Numerical experiments demonstrate so-called proximity principle superior ability of original algorithm to navigate local optima, making LB-PBD more versatile than traditional deterministic algorithm (logic-based outer approximation algorithm) and stochastic algorithm (adaptive superstructure-differential evolution algorithm). In a single-column distillation case, LB-PBD achieves high accuracy. In an extractive distillation case, the algorithm successfully optimizes the separation of a near-azeotropic mixture, reducing energy consumption and improving product recovery compared to previous solutions. These results highlight LB-PBD as a robust and effective tool for solving non-convex MINLLP problems, particularly in simulator-based distillation process optimization.
ISSN:2227-9717
DOI:10.3390/pr13040977
Fuente:Materials Science Database