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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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Optimalizace zemědělské prvovýroby v podniku Zemos a.s.
Hudecová, Eva
Optimal agricultural production in the ZEMOS a.s. company. Diploma thesis. Brno: Mendel University, 2015. The diploma thesis deals with optimization in agricultural production in chosen company. The work is focusing on using mathematical models, as a tool for support in decision about crop and animal structure. The aim of this diploma thesis is to suggest suitable optimizing tools for planning structures of crop and animal production. The output of the diploma thesis will be mathematical models prepared for maximize of profit and minimize of cost and taking into account the random parameters in the objective function.
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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 Modelling Languages
Molliková, Eva ; Škapa, Stanislav (referee) ; Popela, Pavel (advisor)
The goal of the thesis is to introduce readers into the use of the GAMS modelling language that is an important tool for optimization model building. The overview of useful mathematical concepts introduces the text. The main part of thesis contains four examples presented in detail. Firstly, the basic GAMS related concepts, statements and techniques involving analysis of results are described. The second example illustrates development of model description beginning from quite specific instance towards general and flexible one. Two examples solved at the end show further use of the GAMS and can motivate reader to enhance their konwledge and apply optimization in his areas of specialization.
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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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Možnosti využití optimalizačních metod při plánování osetí zemědělské půdy
Bulíčková, Anna
Bulíčková, A. The opportunities of using optimization methods for crop planning. Diploma thesis. Brno: Mendel University, 2015. This diploma thesis deals with the opportunities of using optimization methods as a decision-making tool for the structure of crop rotation. The aim of this thesis is to consider the possibilities of using the methods of the operation research in crop planning and suggest appropriate optimization tools. The suitable model will be applied to a chosen agricultural company. The important terms of the farmland, crop rotation and optimization methods using in agriculture are described in this thesis. Subsequently, the structure of agricultural production in ZD Třebelovice is analyzed and appropriate optimization model suggested. The problem is solved by using the MS Excel software. The example of ZD Třebelovice is used for the generalization in the agricultural sector.
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