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Application of stochastic global optimization algorithms to practical problems

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TLDR
Eight recently developed stochastic global optimization algorithms representing controlled random search, simulated annealing, and clustering are used to solve global optimization problems from three different fields representing many-body potentials in physical chemistry, optimal control of a chemical reactor, and fitting a statistical model to empirical data.
Abstract
We describe global optimization problems from three different fields representing many-body potentials in physical chemistry, optimal control of a chemical reactor, and fitting a statistical model to empirical data. Historical background for each of the problems as well as the practical significance of the first two are given. The problems are solved by using eight recently developed stochastic global optimization algorithms representing controlled random search (4 algorithms), simulated annealing (2 algorithms), and clustering (2 algorithms). The results are discussed, and the importance of global optimization in each respective field is focused.

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Journal ArticleDOI

Parameter Estimation in Biochemical Pathways: A Comparison of Global Optimization Methods

TL;DR: Although these stochastic methods cannot guarantee global optimality with certainty, their robustness, plus the fact that in inverse problems they have a known lower bound for the cost function, make them the best available candidates.
Journal ArticleDOI

A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems

TL;DR: A collection of test problems, some are better known than others, provides an easily accessible collection of standard test problems for continuous global optimization and investigates the microscopic behavior of the algorithms through quartile sequential plots.
Journal ArticleDOI

Population set-based global optimization algorithms: some modifications and numerical studies

TL;DR: This paper studies the efficiency and robustness of some recent and well known population set-based direct search global optimization methods such as Controlled Random Search, Differential Evolution and the Genetic Algorithm.

Global optimization and simulated annealing

TL;DR: The mathematical formulation of the simulated annealing algorithm is extended to continuous optimization problems, and it is proved asymptotic convergence to the set of global optima.
Journal ArticleDOI

Improving food processing using modern optimization methods

TL;DR: In this contribution, computer-aided optimization is presented as the ultimate tool to improve food processing, especially focusing in recent developments using modern optimization techniques.
References
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Journal ArticleDOI

C 60 : Buckminsterfullerene

TL;DR: In this article, the authors proposed a truncated icosahedron, a polygon with 60 vertices and 32 faces, 12 of which are pentagonal and 20 hexagonal.
Journal ArticleDOI

Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films

TL;DR: An empirical many-body potential-energy expression is developed for hydrocarbons that can model intramolecular chemical bonding in a variety of small hydrocarbon molecules as well as graphite and diamond lattices based on Tersoff's covalent-bonding formalism with additional terms that correct for an inherent overbinding of radicals.
Journal ArticleDOI

New empirical approach for the structure and energy of covalent systems

Jerry Tersoff
- 15 Apr 1988 - 
TL;DR: A new potential for silicon is presented, along with results of extensive tests which suggest that this potential provides a rather realistic description of silicon.
Book

Global optimization

Book

Global Optimization: Deterministic Approaches

Reiner Horst, +1 more
TL;DR: This study develops a unifying approach to constrained global optimization that provides insight into the underlying concepts and properties of diverse techniques recently proposed to solve a wide variety of problems encountered in the decision sciences, engineering, operations research and other disciplines.
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