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Optimization in selected engineering problems
Přikryl, Tomáš ; Popela, Pavel (referee) ; Mrázková, Eva (advisor)
The goal of this paper is a basic understanding of elementary concepts of the mathematical programming field and an aplication of such concepts for the optimization of machine design. The subject of nonlinear optimization is put under deeper scrutiny and so are solution methods of nonlinear problems. This paper also contains essential findings about shafts in the context of engineering components. In the practical part these findings are applied for an optimization of a shaft where the goal is to minimize the shaft’s weight.
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Optimization in engineering design problems
Sýkora, Zdeněk ; Cabalka, Matouš (referee) ; Mrázková, Eva (advisor)
This bachelor thesis deals with the use of optimization in the problems of beam loading and buckling stability. The problems were solved in the GAMS software. The solutions of the first two problems is compared with results obtained using software Ansys. It also contains chapters on basic optimization theory, the theory of ordinary differential equations and a chapter on selected concepts in mechanics of materials.
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ADVANCED REGRESSION MODELS
Rosecký, Martin ; Popela, Pavel (referee) ; Bednář, Josef (advisor)
This thesis summarizes latest findings about municipal solid waste (MSW) modelling. These are used to solve multivariable version of inverse prediction problem. It is not possible to solve such problem analytically, so heuristic framework using regression models and data reconciliation was developed. As a side product, models for MSW modelling using PCA (Principal Component Analysis) and LM (Linear Model) were created. These were compared with heuristic model called RF (Random Forest). Both of these models were also used for per capita MSW modelling. Theoretical parts about generalized linear models, data reconciliation and nonlinear programming are also included.
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Optimization in selected engineering problems
Přikryl, Tomáš ; Popela, Pavel (referee) ; Mrázková, Eva (advisor)
The goal of this paper is a basic understanding of elementary concepts of the mathematical programming field and an aplication of such concepts for the optimization of machine design. The subject of nonlinear optimization is put under deeper scrutiny and so are solution methods of nonlinear problems. This paper also contains essential findings about shafts in the context of engineering components. In the practical part these findings are applied for an optimization of a shaft where the goal is to minimize the shaft’s weight.
|
|
|
Optimization in engineering design problems
Sýkora, Zdeněk ; Cabalka, Matouš (referee) ; Mrázková, Eva (advisor)
This bachelor thesis deals with the use of optimization in the problems of beam loading and buckling stability. The problems were solved in the GAMS software. The solutions of the first two problems is compared with results obtained using software Ansys. It also contains chapters on basic optimization theory, the theory of ordinary differential equations and a chapter on selected concepts in mechanics of materials.
|
|
|
ADVANCED REGRESSION MODELS
Rosecký, Martin ; Popela, Pavel (referee) ; Bednář, Josef (advisor)
This thesis summarizes latest findings about municipal solid waste (MSW) modelling. These are used to solve multivariable version of inverse prediction problem. It is not possible to solve such problem analytically, so heuristic framework using regression models and data reconciliation was developed. As a side product, models for MSW modelling using PCA (Principal Component Analysis) and LM (Linear Model) were created. These were compared with heuristic model called RF (Random Forest). Both of these models were also used for per capita MSW modelling. Theoretical parts about generalized linear models, data reconciliation and nonlinear programming are also included.
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Optimalizace těžby přírodních zdrojů
Chrobok, Viktor ; Dlouhý, Martin (advisor) ; Kodera, Jan (referee) ; Vošvrda, Miroslav (referee)
The thesis describes various modifications of the predator-prey model. The modifications are considering several harvesting methods. At the beginning a solution and a sensitivity analysis of the basic model are provided. The first modification is the percentage harvesting model, which could be easily converted to the basic model. Secondly a constant harvesting including a linearization is derived. A significant part is devoted to regulation models with special a focus on environmental applications and the stability of the system. Optimization algorithms for one and both species harvesting are derived and back-tested. One species harvesting is based on econometrical tools; the core of two species harvesting is the modified Newton's method. The economic applications of the model in macroeconomics and oligopoly theory are expanded using the methods derived in the thesis.
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