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A User’s Guide

Choose the Correct Solution Method for Your Optimization ProblemOptimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained and co

Optimization: Algorithms and Applications

Simulation-based optimization is a research area that is currently attracting a lot of attention in many industrial applications, where expensive simulators are used to approximate, design, and optimize real systems. Pharmaceuticals are typical examples of high-cost products which involve expensive processes and raw materials while at the same time must satisfy strict quality regulatory specifications, leading to the formulation of challenging and expensive optimization problems. The main purpose of this work was to develop an efficient strategy for simulation-based design and optimization using surrogates for a pharmaceutical tablet manufacturing process. The proposed approach features surrogate-based optimization using kriging response surface modeling combined with black-box feasibility analysis in order to solve constrained and noisy optimization problems in less computational time. The proposed methodology is used to optimize a direct compaction tablet manufacturing process, where the objective is the minimization of the variability of the final product properties while the constraints ensure that process operation and product quality are within the predefined ranges set by the Food and Drug Administration.

https://www.tpbin.com/Uploads/Subjects/1a5ab44a-53c1-433e-a2f0-bcd267a98919.pdf

Surrogate-Based Optimization of Expensive Flowsheet Modeling for Continuous Pharmaceutical Manufacturing

The expected improvement (EI) algorithm is a very popular method for expensive optimization problems. In the past twenty years, the EI criterion has been extended to deal with a wide range of expensive optimization problems. This paper gives a comprehensive review of the EI extensions designed for parallel optimization, multiobjective optimization, constrained optimization, noisy optimization, multi-fidelity optimization and high-dimensional optimization. The main challenges of extending the EI approach to solve these complex optimization problems are pointed out, and the ideas proposed in literature to tackle these challenges are highlighted. For each reviewed algorithm, the surrogate modeling method, the computation of the infill criterion and the internal optimization of the infill criterion are carefully studied and compared. In addition, the monotonicity properties of the multiobjective EI criteria and constrained EI criteria are analyzed in detail. Through this review, we give an organized summary about the EI developments in the past twenty years and show a clear picture about how the EI approach has advanced. In the end of this paper, several interesting problems and future research topics about the EI developments are given.

Expected improvement for expensive optimization: a review

https://escholarship.org/content/qt658223s7/qt658223s7.pdf?t=p65ja1

Energy geotechnics: Advances in subsurface energy recovery, storage, exchange, and waste management

Surrogate based optimal waterflooding management

A concurrent efficient global optimization algorithm applied to polymer injection strategies

Coupled hydro-mechanical fault reactivation analysis incorporating evidence theory for uncertainty quantification

In this paper, an efficient solution procedure is proposed to compute the pre-peak behavior of reinforced concrete (RC) beam cross sections under torsion and shear. This calculation procedure is based on the combined-action softened truss model (CA-STM), which idealizes rectangular RC cross sections as the association of four cracked panels. The proposed solution procedure formulates the problem as a system of nonlinear equations with constraints to be solved using optimization algorithms. The previsions obtained from this technique are compared with some experimental results of RC cross sections under pure torsion and torsion combined with shear, where good agreement was observed. Moreover, this procedure showed good computational efficiency, depicted by its ability to compute the load-deformation curves in few seconds. An analysis of a statically indeterminate structure incorporating beams under torsion and shear is also presented, for which a considerable decrease of the beam’s torsional stiffness is observed under the combined actions.

Bernardo Horowitz

Papers

Surrogate based optimal waterflooding management

A concurrent efficient global optimization algorithm applied to polymer injection strategies

Coupled hydro-mechanical fault reactivation analysis incorporating evidence theory for uncertainty quantification

Efficient Analysis of Beam Sections Using Softened Truss Model

Quadratic programming solver for structural optimisation using SQP algorithm