Comparative Study of a New Problem Decomposition Method for Solving Global Optimization Problems on Loosely Coupled Systems

Sakharov, Maxim; Karpenko, Anatoly

doi:10.1007/978-3-030-87178-9_25

Cited by 4 publications

(5 citation statements)

References 11 publications

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“…The development of mathematical optimization methods in chemical technology has been carried out and is being carried out by many authors: M. G. Slinko [1], V. I. Bykov [2], R. Aris [3], V. V. Kafarov [4], etc. These researchers use the following optimization methods: (1) classical analysis of the study of functions; (2) calculus of variations; (3) Pontryagin's maximum principle; (4) dynamic programming and linear programming; (5) nonlinear programming; (6) methods of global optimization, etc. Optimization methods in chemical technology are mainly devoted to single-criteria optimization according to the criterion of the product yield.…”

Section: Literature Reviewmentioning

confidence: 99%

“…In the study of multi-criteria optimization, the problem of compromise of the values of the optimality criteria arises. The authors of such methods are A. P. Karpenko [5], R. Wang [6], D. E. Goldberg [7], A. Abraham [8], K. Deb [9], D. Corne [10], and S. Chowdhury [11]. However, for problems of chemical kinetics, methods of multicriteria optimization with simultaneous analysis of several criteria were not used earlier.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Then, it follows a nonlinear programming problem calculation with the use of methods of conditional minimization according to (5).…”

Section: The Problem Of Multiobjective Optimal Control Of a Chemical ...mentioning

confidence: 99%

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Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations

2023

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The solution of the multiobjective optimization problem was performed with the help of the Pareto approximation algorithm. The problem of multiobjective optimization of the reaction process conditions for the olefin hydroalumination catalytic reaction, with the presence of organoaluminum compounds diisobutylaluminiumchloride, diisobutylaluminiumhydrate, and triisobutylaluminum, was solved. The optimality criteria are the yield of the reaction resultants. The largest yield of the high-order organoaluminum compound Bu2AlR was observed for the reactions with diisobutylaluminiumhydrate and triisobutylaluminum. Such results were obtained due to the fact that in the case of diisobutylaluminiumchloride, Bu2AlR was used for the formation of ClBuAlR. The yield of the Schwartz reagent Cp2ZrHCl was higher by a third in the reaction in the presence of diisobutylaluminiumchloride. Unlike the experimental isothermal conditions, the temperature optimal control showed the sufficiency of the gradual growth temperature for achieving the same or higher values of optimality criteria. For computational experiments, the algorithm for solving the multi-criteria optimization problem was parallelized using an island model.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

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Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations

2023

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“…In this study, we consider the emerging class of loosely coupled computing systems, in particular, grid systems comprising heterogeneous personal computers (desktop grids), which are widely used for scientific computations [21,22]. When developing an optimization algorithm for this class of systems, communication expenses between computing nodes must be minimized.…”

Section: Introductionmentioning

confidence: 99%

“…When developing an optimization algorithm for this class of systems, communication expenses between computing nodes must be minimized. It is possible to achieve this task either with a peculiar optimization algorithm [23,24] or with a specific parallelization technique [22].…”

Section: Introductionmentioning

confidence: 99%

Studying the Efficiency of Parallelization in Optimal Control of Multistage Chemical Reactions

et al. 2022

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In this paper, we investigate the problem of optimal control of complex multistage chemical reactions, which is considered a nonlinear global constrained optimization problem. This class of problems is computationally expensive due to the inclusion of multiple parameters and requires parallel computing systems and algorithms to obtain a solution within a reasonable time. However, the efficiency of parallel algorithms can differ depending on the architecture of the computing system. One available approach to deal with this is the development of specialized optimization algorithms that consider not only problem-specific features but also peculiarities of a computing system in which the algorithms are launched. In this work, we developed a novel parallel population algorithm based on the mind evolutionary computation method. This algorithm is designed for desktop girds and works in synchronous and asynchronous modes. The algorithm and its software implementation were used to solve the problem of the catalytic reforming of gasoline and to study the parallelization efficiency. Results of the numerical experiments are presented in this paper.

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Studying the Efficiency of Parameter Scaling in Optimal Control Problems with Parallel Memetic Algorithm

Sakharov,

Koledina

2023

Lecture Notes in Networks and Systems

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Comparative Study of a New Problem Decomposition Method for Solving Global Optimization Problems on Loosely Coupled Systems

Cited by 4 publications

References 11 publications

Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations

Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations

Studying the Efficiency of Parallelization in Optimal Control of Multistage Chemical Reactions

Studying the Efficiency of Parameter Scaling in Optimal Control Problems with Parallel Memetic Algorithm

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