In this thesis we will focus on a problem of length bounded cut, also known as L-bounded cut. We are going to show a combinatorial algorithm for finding a minimal L-bounded cut on graphs with bounded treewidth based on dynamic programming. Then we going to show that this algorithm can also be used for finding minimal L-bounded cut on plannar graphs. We are also going to look at problem of (dG(s, t) + 1)-bounded cut. This problem is known to be NP-hard for general graphs. But it is an open problem whether this problem is also NP-hard on plannar graphs with special vertices on the outer face. We will try to outline a way, which might lead to showing that this problem is solvable in a polynomial time.

This thesis deals with the multi-stage stochastic programming problems. In the first part, there are introduced two-stage and multi-stage stochastic programming problems. Next, two methods how to generate scenarios are described in detail - the moment method and paths-based methods. The second chapter describes the flower-girl problem, its various formulations and other extensions using ro- bustness and endogenous randomness. The practical part follows, where several different formulations of the flower-girl problem are solved. First, the problem when the florist sells roses with an unlimited life for one week is solved. Then this problem is reformulated as a two-stage problem and the results are compared. Then a formulation with a limited rose life of 2 days is presented. The greatest attention is paid to the problem with a limited rose life of 4 days - the basic formulation of the problem and several extended formulations are solved. 1

This thesis focuses on the stability of ALM models formulated as problems of multistage stochastic programming, with respect to reductions in scenario tree. In the first chapter, we introduce multistage stochastic programming problem and the chosen approach of the master scenario tree generation. The second chapter describes models of asset price evolution in time and clustering algo- rithm used for generation of the master tree. In the third chapter, we describe three random and three deterministic scenario tree reduction algorithms. In the fourth chapter, we formulate two pension fund ALM problems - the first one is four-stage problem, the second one is seven-stage problem. The fifth chap- ter is dedicated to the description of the practical part of the thesis, in which we study and compare the stability of the objective function and the solutions in individual stages with respect to scenario tree reductions obtained from the algorithms described in the third chapter. 1

Diploma thesis deals with the problem of project management in a condition of company focused on the development of mobile and web applications. This work represents the current situation of project management and analyzes selected representatives of methodologies used in software development by describing their advantages, disadvantages and form of use. The work shows significant statistical findings about project successes and analyzes the current trend of used methodologies. Practical part of this work is focused on the description and analysis of company environment, for the appropriate setting of the methodology of software project management. The most suitable methodology is chosen in the work with respect to the company criteria, which is implemented on two real pilot projects. Finally, there is an evaluation of the results obtained according to the criteria

This diploma thesis deals with the use of Cartesian Genetic Programming (CGP) for combinational circuits design. The work addresses the issue of optimizaion of selected logic circuts, arithmetic adders and multipliers, using Cartesian Genetic Programming. The implementation of the CPG is performed in the Python programming language with the aid of NumPy, Numba and Pandas libraries. The method was tested on selected examples and the results were discussed.

The aim of this work is to automatically design a program that is able to detect dyskinetic movement features in the measured patient's movement data. The program will be developed using Cartesian genetic programming equipped with coevolution of fitness predictors. This type of coevolution allows to speed up a design performed by Cartesian genetic programming by evaluating a quality of candidate solutions using only a part of training data. Evolved classifier achieves a performance (in terms of AUC) that is comparable with the existing solution while achieving threefold acceleration of the learning process compared to the variant without the fitness predictors, in average. Experiments with crossover methods for fitness predictors haven't shown a significant difference between investigated methods. However, interesting results were obtained while investigating integer data types that are more suitable for implementation in hardware. Using an unsigned eight-bit data type (uint8_t) we've achieved not only comparable classification performance (for significant dyskinesia AUC = 0.93 the same as for the existing solutions), with improved AUC for walking patient's data (AUC = 0.80, while existing solutions AUC = 0.73), but also nine times speedup of the design process compared to the approach without fitness predictors employing the float data type, in average.

The thesis is focused on the optimization of models of transportation and transshipment problem with random demand, additional edges, and dynamic pricing. The theoretical part of the thesis introduces mathematical models of transportation. The software GAMS, which is used for the solution, is all so described. The practical part is a split among chapters and implements the described models by using real data.

The goal of this work was the study of evolutionary algorithms and utilization of them for digital circuit design. Especially, a genetic programming and its different manipulation with building blocks is mentioned in contrast to a genetic algorithm. On the basis of this approach, I created and tested a hybrid method of electronic circuit design. This method uses spread schemes according to the genetic algorithm for the pattern problems witch are solved by the genetic programming. The method is more successful and have faster convergence to a solution in difficult electronic circuits design than a common algorithm of the genetic programming.

This thesis summarizes knowledge in the field of time series theory, method for time series analysis and applications in financial modeling. It also resumes the area of evolutionary algorithms, their classification and applications. The core of this work combines these knowledges in order to build a system utilizing evolutionary algorithms for financial time series forecasting models optimization. Various software engineering techniques were used during the implementation phase (ACI - autonomous continual integration, autonomous quality control etc.) to ensure easy maintainability and extendibility of project by more developers.

Výzkum prezentovaný v této práci je zaměřen na evoluční optimalizaci vybraných komponent síťových aplikací určených pro monitorovací systémy vysokorychlostních sítí. Práce začíná studiem současných monitorovacích systémů. Jako experimentální platforma byl zvolen systém SDM (Software Defined Monitoring). Detailně bylo analyzováno zpracování síťového provozu, protože tvoří důležitou součást všech monitorovacích systémů. Jako demonstrační komponenty pro aplikaci optimálních technik navržených v této práci byly zvoleny klasifikátor aplikačních protokolů a hashovací funkce pro síťové toky. Evoluční algoritmy byly zkoumány s ohledem nejen na optimalizaci kvality zpracování dat danou síťovou komponentou, ale i na čas potřebný pro výpočet dané komponenty. Byly zkoumány jednokriteriální i vícekriteriální varianty evolučních algoritmů.     Byl navržen nový přístup ke klasifikaci aplikačních protokolů. Přesná i aproximativní verze klasifikátoru byla optimalizována pomocí CGP (Kartézské Genetické Programování). Bylo dosaženo výrazné redukce zdrojů a zpoždění v FPGA (Programovatelné Logické Pole) oproti neoptimalizované verzi. Speciální síťové hashovací funkce byly navrženy pomocí paralelní verze LGP (Lineární Genetické Programování). Tyto hashovací funkce vykazují lepší funkcionalitu oproti moderním hashovacím funkcím. S využitím vícekriteriální optimalizace byly vylepšeny výsledky původní jednokriteriální verze LGP. Paralelní zřetězené verze hashovacích funkcí byly implementovány v FPGA a vyhodnoceny za účelem hashování síťových toků. Nová rekonfigurovatelná hashovací funkce byla navržena jako kombinace vybraných hashovacích funkcí.  Velmi konkurenceschopná obecná hashovací funkce byla rovněž navržena pomocí multikriteriální verze LGP a její funkčnosti byla ověřena na reálných datových sadách v provedených studiích. Vícekriteriální přístup produkuje mírně lepší řešení než jednokriteriální LGP. Také se potvrdilo, že obecné implementace LGP a CGP jsou použitelné pro automatizovaný návrh a optimalizaci vybraných síťových komponent. Je však důležité zvládnout vícekriteriální povahu problému a urychlit časově kritické operace GP