National Repository of Grey Literature 100 records found  1 - 10nextend  jump to record: Search took 0.00 seconds. 
Optimization Risk Modelling in GAMS
Kutílek, Vladislav ; Bednář, Josef (referee) ; Popela, Pavel (advisor)
The diploma thesis deals with the possibilities of using the optimization modelling software system GAMS in risk management. According to the assignment, emphasis is placed on a detailed approach to the program for those, who are interested in its use in the field of risk engineering applications. The first part of the thesis contains the knowledge to understand what the GAMS program is and what it is used for. The next part of the work provides instructions on how to download, install, activate the program and what the user interface of the program looks like. Thanks to mathematical programming, it will be explained on a project on the distribution of lung ventilators, what basic approaches may be used in risk modelling in the GAMS program on a deterministic model. The following are more complex wait-and-see models, which contains the probability parameters and here-and-now models, where we work with demand scenarios and verify whether if they meets the requirements of other scenarios or calculate costs for the highest demands. The two-stage model is also one of the here-and-now models, but it is significantly more complex in its size and range of input data, it includes additional price parameters for added or removed pieces of lung ventilators from the order.
Modelling of Selected Risks in Healthcare
Nováková, Pavlína ; Bednář, Josef (referee) ; Popela, Pavel (advisor)
The diploma thesis deals with the modeling of selected risks in healthcare. Motivated by the current pandemic situation, it focuses on analysis of risks associated with the vaccination center in Brno. The theoretical part is mainly devoted to the issue of risk management with a focus on risks in healthcare, where the methods that are used in the practical part are defined. Furthermore, the thesis presents selected topics of mathematical programming. Especially, the newsvendor problem is introduced as inspiring case for further modelling. The brief description of the covid-19 pandemic situation later serves as one of the data sources. The practical part deals with the description and risk analysis of the vaccination process using the methods "What If?" and the FMEA method. Appropriate decisions are then proposed for selected risk situations using the GAMS optimization system. Based on the results of the calculations, specific recommendations are proposed.
Optimization Risk Modelling in Strategic Applications
Kovalčík, Marek ; Štětina, Josef (referee) ; Popela, Pavel (advisor)
The aim of this diploma thesis is to design and efficiently implement a framework to support optimization modelling. The emphasis is placed on two-stage stochastic optimization problems and performing calculations on large data. The computing core uses the GAMS system and with using its application interface and Python programming language, the user will be able to efficiently acquire and process input and output data. The separation of the data logic and the application logic then offers a wide range of options for testing and experimenting with a general model on dynamically changing input data. The thesis is also focused on an evaluation of the framework complexity. The framework performance was evaluated by measuring the time required to complete the required task for various use cases, on the increasing sample size of input data.
Optimization Risk Models in Fish Production
Franěk, Martin ; Bednář, Josef (referee) ; Popela, Pavel (advisor)
This diploma thesis deals with the risk associated with fish production. Selected risks are further taken into account. The risks are further described and addressed using the FMEA matrix. The thesis contains a mathematical model that solves the optimal population of the pond in order to maximize profits. The model includes fixed input parameters, which includes the price of hatchery material and the market price of fish. Furthermore, the model contains random input parameters that are limited by the intervals and includes the growth coefficient and the size of the population in the pond. The optimization model is based on simulated data, which are based on real data and statistically determined estimates. The used data are processed into tables in MS Excel for better visualization. GAMS software is used for software implementation of the model.
Statistical analysis of big industrial data
Zamazal, Petr ; Popela, Pavel (referee) ; Šomplák, Radovan (advisor)
This thesis deals with processing of real data regarding waste collection. It describes select parts of the fields of statistical tests, identification of outliers, correlation analysis and linear regression. This theoretical basis is applied through the programming language Python to process the data into a form suitable for creating linear models. Final models explain between 70 \% and 85 \% variability. Finally, the information obtained through this analysis is used to specify recommendations for the waste management company.
Mathematical description of vehicle motion trajectory
Lorenczyk, Jiří ; Popela, Pavel (referee) ; Porteš, Petr (advisor)
The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modies the shape of the curve. The thesis is accompanied by an application allowing for manual construction of the path composed of spline curves.
Chess preparation optimization
Walica, Roman ; Roupec, Jan (referee) ; Popela, Pavel (advisor)
This work is focused on the preparation for the chess game, the issue of Elo rating system and optimization of the problem associated with the preparation for the chess tournament. You can find here how to obtain and modify appropriate information about potential opponents behind the chessboard. Result of this work is an optimization model which, if you enter relevant data, calculates how much time to spend on preparations for chess variants.
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.
Budget Optimization
Golasowski, Martin ; Janíček, Ladislav (referee) ; Popela, Pavel (advisor)
The bachelor's thesis aims to approach the issue of creating a budget for a public university and the subsequent creation of a mathematical model. The thesis explains the rules and formulas for the distribution of funds for higher education to individual universities. Then, the formulas for the redistribution of these funds between individual faculties are given. Subsequently, a mathematical model of nonlinear programming in the GAMS system is built using real data and constraints. The model is then used to examine the change in the distribution of funds for various objective functions. The aim of compiling the model was not to offer a tool that will be automatically used for the distribution of funds at BUT, but to provide its users with a wider range of computational experiments and gain better insight into the problem.
Optimization Models in Energy Production
Němcová, Lucie ; Bednář, Josef (referee) ; Popela, Pavel (advisor)
This bachelor's thesis focuses on optimization of a boiler's size of a waste incineration plant from an economic point of view. The problem was approximated by discretization because random parameters with normal distribution occured in the incineration plant model. To evaluate the quality of such approximation there were created confidence intervals using random sample information, independent random number streams method and common random number streams method. Used methods were compared and the smallest number of scenarios that aproximates the problem "well enough" was proposed in the last part of this thesis.

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