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Modelling of energy producing system and its operation planning applying advanced mathematical methods
Benáčková, Jana ; Karpíšek, Zdeněk (referee) ; Pavlas, Martin (advisor)
This master's thesis deals with the proposal of the cost-effective biomass and coal combustion concept for a real generation plant. The optimization of the current fuel basis exploitation and annual operation scheduling was the main goal. Applying the regression analysis and stochastic programming the mathematical model was constructed based on the operating data. The overall energy source model was implemented to the concept of the optimal operation scheduling considering the economic aspects. The fuel utilization and energy production planning are the main applications of this design.
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System of autonomous differential equations
Benáčková, Jana ; Tomášek, Petr (referee) ; Opluštil, Zdeněk (advisor)
In his work dealing with applications, systems theory of autonomous differential equations in biology to the analysis model of coexistence of two populations. Mathematical models are described in general non-linear autonomous system of differential equations. I introduced the classification of types of singular points that are important for the following solutions to specific models. In the last part is an overview of the most famous models of the two populations (predator × prey) and specific models for the communities of invertebrate animals and mammals.
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Modelling of energy producing system and its operation planning applying advanced mathematical methods
Benáčková, Jana ; Karpíšek, Zdeněk (referee) ; Pavlas, Martin (advisor)
This master's thesis deals with the proposal of the cost-effective biomass and coal combustion concept for a real generation plant. The optimization of the current fuel basis exploitation and annual operation scheduling was the main goal. Applying the regression analysis and stochastic programming the mathematical model was constructed based on the operating data. The overall energy source model was implemented to the concept of the optimal operation scheduling considering the economic aspects. The fuel utilization and energy production planning are the main applications of this design.
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|
System of autonomous differential equations
Benáčková, Jana ; Tomášek, Petr (referee) ; Opluštil, Zdeněk (advisor)
In his work dealing with applications, systems theory of autonomous differential equations in biology to the analysis model of coexistence of two populations. Mathematical models are described in general non-linear autonomous system of differential equations. I introduced the classification of types of singular points that are important for the following solutions to specific models. In the last part is an overview of the most famous models of the two populations (predator × prey) and specific models for the communities of invertebrate animals and mammals.
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