Surrogate-Based Optimization Techniques for Process Systems Engineering

TL;DR

This paper reviews surrogate-based optimization methods in chemical engineering, discussing algorithms, theoretical foundations, and practical applications through case studies to guide effective implementation.

Contribution

It provides a comprehensive overview of state-of-the-art surrogate optimization algorithms, including their theory, performance assessment, and practical guidance for chemical process applications.

Findings

Bayesian Optimization and TuRBO perform well in high-dimensional problems.

Ensemble Tree Model Optimization (ENTMOOT) is effective for complex surrogate modeling.

Different algorithms show varied suitability depending on problem characteristics.

Abstract

Optimization plays an important role in chemical engineering, impacting cost-effectiveness, resource utilization, product quality, and process sustainability metrics. This chapter broadly focuses on data-driven optimization, particularly, on model-based derivative-free techniques, also known as surrogate-based optimization. The chapter introduces readers to the theory and practical considerations of various algorithms, complemented by a performance assessment across multiple dimensions, test functions, and two chemical engineering case studies: a stochastic high-dimensional reactor control study and a low-dimensional constrained stochastic reactor optimization study. This assessment sheds light on each algorithm's performance and suitability for diverse applications. Additionally, each algorithm is accompanied by background information, mathematical foundations, and algorithm descriptions. Among the discussed algorithms are Bayesian Optimization (BO), including state-of-the-art TuRBO, Constrained Optimization by Linear Approximation (COBYLA), the Ensemble Tree Model Optimization Tool (ENTMOOT) which uses decision trees as surrogates, Stable Noisy Optimization by Branch and Fit (SNOBFIT), methods that use radial basis functions such as DYCORS and SRBFStrategy, Constrained Optimization by Quadratic Approximations (COBYQA), as well as a few others recognized for their effectiveness in surrogate-based optimization. By combining theory with practice, this chapter equips readers with the knowledge to integrate surrogate-based optimization techniques into chemical engineering. The overarching aim is to highlight the advantages of surrogate-based optimization, introduce state-of-the-art algorithms, and provide guidance for successful implementation within process systems engineering.