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Optimization of Production Processes
Halas, David ; Dvořák, Jiří (referee) ; Popela, Pavel (advisor)
This thesis deals with modelling diffenrent types of production lines. Modeling is done by the mathematical programming and simulation methods. Optimization related computations are mostly implemented in program GAMS. Simulation is realized by using program Matlab/SimEvents. The results are presented by the Gantt diagrams.
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Optimizing the distribution of participants in summer camps
Hlavenka, Vojtěch ; Kuncová, Martina (advisor) ; Skočdopolová, Veronika (referee)
The aim of the thesis is the mathematical model, which is capable to divide participants of large summer camps into groups, according to specific limitations. The first part describes the economics model and all valid conditions. The second part is devoted to theoretical description. There are mentioned the basics of mathematical programming and the basic of working with Excel and VBA. The thesis describes only actually used methods. The following third part shows the final form of the model. So the reader doesn´t have to go through the whole process, described in the fourth part. There is a model testing in the fourth part, especially with the help of the Excel Solver. The problems are sold immediately. That is the reason why the fifth part can be used for implementation of working environment, which allows the end user to run the model without any significant knowledge of the issue. The app uses the wide possibilities of VBA. The sixth part briefly describes other add-ins, that are able to solve mathematical problem. The conclusion summarizes all the previous parts and offeres solution, that would be used in real application of the thesis.
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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.
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Optimization Models for Strategical Decision Making
Ulverová, Michaela ; Škapa, Stanislav (referee) ; Popela, Pavel (advisor)
The thesis deals with possibilities of mathematical modeling for public university budgets. Firstly, external conditions of public university financial inflows are discussed and~illustrated by using particular data. The related basic legislature is introduced. In~the~next part, internal financial flows are described the help of a general scheme. Step-by-step, a mathematical model of the university budget was built with using analysis of existing data, rules and formulas. The proposed model represents nonlinear multi–stage scenario-based stochastic programme, involving linear and network-flow like constraints. It allows to take into account more objective functions and related parametric analysis. The model was implemented in the algebraic modeling system GAMS with~interface to MS Excel. The aim of the presented mathematical model was not to offer a tool that would be used for automatic distribution of financial resources of the university, but to give flexible possibilities to its user to realize computational experiments and in this way to achieve a deeper insight into the modeled problem.
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Optimization of the cooling of induction machines
Halfar, Ivo ; Dostál, Lukáš (referee) ; Janda, Marcel (advisor)
This master‘s thesis deals with problems of optimization of cooling in electrical machines. This work includes introduction to the theory of mathematical optimization and brief introduction to optimization problems. This thesis deals with using of program Ansys Workbench for the thermal analysis in electrical machines and optimization of their cooling. Thesis contains thermal analyse of specific asynchronous motor with the squirrel cage and optimization of its cooling.
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Optimization problems in AIMMS
Kůdela, Jakub ; Popela, Pavel (referee) ; Mrázková, Eva (advisor)
This bachelor's thesis deals with the usage of system AIMMS for solving and creating optimization models. After the introduction to theoretical background of optimization problems there is an example of modeling a selected problem and its implementation to AIMMS. Each of the selected problems has its graphical user interface where an end user can simply modify the data of the model. All the source codes of programs described above are attached.
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Optimization in engineering problems
Klepáč, Jaromír ; Popela, Pavel (referee) ; Mrázková, Eva (advisor)
This bachelor thesis deals with optimization in engineering problems. In particular, it focuses on a task of optimal dimensions design of continuously loaded beam with specic requirements on nal beam weight and rigidity. For the purpose of well understanding of all the terms used during solving of an illustrative task, the thesis contains a brief introduction into the optimization problems, ordinary dierential equations, and theory of elasticity as well. Results obtained through optimization in the GAMS software will be checked by analytic solution and compared with an alternative calculation in the ANSYS software.
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Employee scheduling: application of selected methods of Operations Research
Picková, Veronika ; Kuncová, Martina (advisor) ; Houška, Milan (referee)
The aim of this Master's Thesis is to create an employee shift work schedule by using selected methods of operations research. The first part is theoretical and deals with the introduction into operational research, specifically in the field of mathematical programming and simulation models, including the possibility of computer processing. This first part highlights important subjects that will be used in the second part, which is practical and is solving a specific problem. Firstly, Cinema City Flora, which provided data for the analysis, is presented. Then there is a solution of the problem in the add-in Solver in MS Excel, and then in the program LINGO. After, a discrete simulation is created in the program SIMUL8. In conclusion, there is a summarization of the main findings and recommendations, comparison of selected methods and their applicability in practice and possibilities of further research.
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Use of operation research methods in sport scheduling
Sopková, Magdaléna ; Jablonský, Josef (advisor) ; Fábry, Jan (referee)
This thesis deals with the use of operation research methods in sports scheduling. The theoretical part is focused on basic methods of operation research, linear programming and assignment problems are described in greater detail. The thesis presents the principles of sports tournaments and selected optimization softwares in the next part. In the practical part own mathematical models for sport scheduling are introduced. The solution procedure is demonstrated on real life problem of sports scheduling for actual men's basketball season. This example provides the reader with complex concept of solving process of sport scheduling problems.
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Menu optimization for school cafeteria
Vlačihová, Martina ; Princ, Peter (advisor) ; Chrobok, Viktor (referee)
This bachelor thesis deals with the application of mathematical programming in real data application. Specifically, it is nutritional problem that is defined in the environment of school cafeteria. The main topic is a compilation of the school menus. There are four menus that consist of twenty meals. There are many limitations which have to be observed. These limitations are based on the requirements of the Ministry of Health of the Czech Republic. The model is described with the linear programming and is solved by the program LINGO.
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