|
|
Advanced Stochastic Programming Models in Power Engineering
Pavelka, Ondřej ; Štětina, Josef (referee) ; Popela, Pavel (advisor)
This diploma thesis applies stochastic optimization in the field of the power engineering. In the thesis first part, the needed mathematical theory is described, specifically mathematical, linear, nonlinear, integer and stochastic programming. The second part deals with the heating plant, in which heat is generated by gas and biomass boilers. The aim of this thesis is to design a model for the schedule planning of these boilers. The model is based on two stage stochastic programming with scenario approach. Then the model is solved by GAMS software. In the final part of the text, the focus is on the model sensitivity analysis and suggestions for future improvement.
|
|
|
Stochastic Programming for Engineering Design
Hrabec, Dušan ; Roupec, Jan (referee) ; Popela, Pavel (advisor)
Stochastické programování a optimalizace jsou velmi užitečné nástroje pro řešení široké škály inženýrských úloh zahrnujících neurčitost. Diplomová práce se zabývá stochastickým programováním a jeho aplikací při řešení logistických úloh. Teoretická část práce je věnována jak základním pojmům z teorie grafů, tak pojmům souvisejících s matematickým, lineárním, celočíselným a stochastickým programováním. Pozornost je věnována také návaznosti zmíněných pojmů na logistiku. Druhá část se zabývá tvorbou vlastních úloh prezentujících stochastické logistické modely, jejich implementací a výsledky.
|
|
|
Mathematical model for Transportation Problem in Waste Management
Procházka, Vít ; Touš, Michal (referee) ; Pavlas, Martin (advisor)
This bachelor's thesis deals with the development of the mathematical model of transportation problem in waste management, which is used for analysis of current issue of mixed municipal waste treatment in the Czech Republic. The theoretical part of thesis aims to introduce basic terms of graph theory and optimization with the focus on linear programming. The second part aims to development of the model and its implementation to GAMS. And next, the post-processing of results is shown, vizualization in ArcGIS included.
|
|
| |
|
|
Transformations of optimization models with aplications
Rychtář, Adam ; Bednář, Josef (referee) ; Popela, Pavel (advisor)
The thesis deals with recent problems of waste management in the Czech Republic. In connection with the existing software implementation, the author focuses on the gradual development of advanced mathematical programming models, which generalize existing approaches. The author applies acquired knowledge in the areas of network flows, linear, integer, and stochastic programming. The important role is played by modifications and transformations of the discussed models. They are further used to obtain the experimental results for real-world input data by implementation in GAMS.
|
|
|
Process Optimization
Vilém, Jan ; Hrabec, Dušan (referee) ; Popela, Pavel (advisor)
This bachelor's thesis examine the problem of the process optimization in mechanical engineering. It contains optimization model to optimize cutting conditions in turning. The problem was programmed in the GAMS system as linear and nonlinear problem. Limiting conditions are generally defined for several types of technological processes.
|
|
|
Optimization in logistics with pricing
Langr, Tomáš ; Cabalka, Matouš (referee) ; Popela, Pavel (advisor)
This bachelor thesis concerns itself with dynamic pricing and its application in network transport models in order to optimize the prices that play an important role in these models. In the theoretical part, we deal with the basic concepts of optimization, linear programming, graph theory and theory related to dynamic pricing. Emphasis is put on linking all this knowledge and its application in solving logistics models.
|
|
|
Mathematical Model for Faculty Budget
Holá, Lucie ; Roupec, Jan (referee) ; Popela, Pavel (advisor)
The idea of this diploma thesis is an origin application of optimization models to solve a wage funds allocation problem on various institutes of each faculty. This diploma thesis includes an outline of linear programming models, nonlinear programming models, multiply programming models and parametric programming models. Studied questions are debating in wider context of distributing financial resources from the Budget of the Czech republic, through Ministry of education, youth and sports, universities, faculties after as much as various institutes. The accent is given on question of definition assessment scales of achievement criteria with general-purpose kvantification.
|
|
|
The Study of More Effectiveness Preparation of Production Process by Selected Technology
Šalanda, Jiří ; Vodrážka, Stanislav (referee) ; Jurová, Marie (advisor)
The aim of this thesis is shortening of standard mechanical time of work piece from aluminium casting alloy. . The shortening can be reached by linear programming of cutting conditions of cutting conditions during machining holes. This method is defined both theoretically and is applied to given setting and by the calculation by the Simplex method. Another method is exchange of tools at machined threads, it’s exchange of used tools for the new one, that makes more operations at a time. The result is shortening of mechanical time, augmentation of productive dose, capacities of workplace and productivity work.
|
|
|
Linear Programming Used as an Effective Weapon by Manager
Zaoralová, Hana ; Havlíček, Radomír (referee) ; Chvátalová, Zuzana (advisor)
The Bachelor’s thesis is focused on the processes taking place in the firm and their optimization using linear programming. At the first part of thesis the theoretical background, basic concepts and methods are defined, thus become familiar with operational research. Then the current situation and subject of business of the company are analyzed. The analytical section will examine specific situation related to the process in the company, knowledge of linear programming will be applied and we will attempt to find out whether these mathematical discipline can be practically used also in nonmanufacturing company, that is primarily engaged in providing logistics. Finally, the results will be interpreted using the software Maple.
|
guest ::
