This paper describes automated examination scheduling for the Faculty of Information Technology of Brno University of Technology. It specifies a list of restrictions that must by satisfied. Furthermore, this limitations are classified due to their influence on a quality of the final version of the examination schedule. There are two types of restrictions; soft and hard. The task is to find such a solution that satisfies all hard constraints and breaks the minimum of soft constraints using techniques described in this paper.

Master‘s thesis deals with the theory of distributed optimization programs (next time just DOP), the suggestion and programme sample solver DOP and verification of the functionality of DOP ideas, principles and system architecture.

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.

This thesis concerns with a comparison of two advanced option-pricing techniques applied on European-style DAX index options. Specifically, the study examines the performance of both the stochastic volatility model based on asymmetric nonlinear GARCH, which was proposed by Heston and Nandi (2000), and the artificial neural network, where the conventional Black-Scholes-Merton model serves as a benchmark. These option-pricing models are tested with the use of the dataset covering the period 3rd July 2006 - 30th October 2009 as well as of its two subsets labelled as "before crisis" and "in crisis" data where the breakthrough day is the 17th March 2008. Finding the most appropriate option-pricing method for the whole periods as well as for both the "before crisis" and the "in crisis" datasets is the main focus of this work. The first two chapters introduce core issues involved in option pricing, while the subsequent third section provides a theoretical background related to all of above-mentioned pricing methods. At the same time, the reader is provided with an overview of the theoretical frameworks of various nonlinear optimization techniques, i.e. descent gradient, quassi-Newton method, Backpropagation and Levenberg-Marquardt algorithm. The empirical part of the thesis then shows that none of the...

Pension reform is nowadays one of the most discuss economic topics among professional public. Almost every OECD country is pressured to make pension reform, because of rapid changes in demographic structure. This article is trying described basic options for pension reform. The main effort is to compare the parameters setting of these options. The first part is describing what optimization model is and how to solve it. The second part describes pension models and shows necessity for pension reform in the Czech Republic. The third part is optimization model for PAYGO system in the Czech Republic. The fourth part describes pension systems in OECD and Latin American countries. It also shows undertaken pension reforms in some of these countries. The fifth part defines theoretical approach to pension reforms by citing and summarizing articles form experts on pension systems. The sixth part is describing proposal for Czech pension reform. It is also comparing the setting of this proposal with previously described systems. It also shows influence of parameters on sustainability of system, revenues of participants and expenses of government. In conclusion, article also discusses the influence of pension reform on family relations. This part of article is mainly based on work of world famous economist Gary S. Becker.

Thesis is based on original self-made application programmed at VBA in MS Excel 2007. The reason to build this application was integration of simulation Monte Carlo and chosen optimization methods. The application allows do simulation of the knapsack problem and of the assignment problem with uncertainty. The parameters of these models are possible to set up as changing values in dependence of chosen probability distribution. Output of the simulation is a probability recommendation which objects should be used. Choose of objects depend on optimized models. Results of both models are represented by statistical indexes, tables of parameters and graph.

This diploma thesis deals with the effectiveness of separation technologies for water treatment. The first theoretical part mentions types of pollution that can be found in surface water. Furthermore, the interparticle interactions affecting the stability of colloidal dispersions are discussed. The following is a description of the principle, procedure, mechanisms of coagulation and factors influencing this process. The chapter dealing with types of water treatment is followed by a more detailed description of the individual separation technologies used in the water treatment plants. The important passage in the theoretical part is the description of materials and reagents used in laboratory experiments. The coagulants nanoiron and sodium water glass are characterized, as well as Bayoxide E33, CFH 0818, FILTRASORB 100 activated charcoal and DORSILIT silicate sand. The experimental part of the thesis analyses the jar test procedure. The flocculation tester intended for the jar test was used for laboratory coagulation using nanoiron and sodium water glass. The effectiveness of selected coagulants in the removal of turbidity from water during sedimentation of flakes produced in reaction vessels was investigated. In addition, the effectiveness of individual filtering materials in the removal of turbidity from water containing nanoiron/sodium water glass was investigated. In the end, the results of laboratory tests are compared and evaluated, including photos taken during experiments.

This master’s thesis deals with the detection of QRS complex detection using zero crossing counts. QRS detection is an important part of the analysis of ECG signal. From the point of determining the R wave detection is based on the other waves and intervals necessary for the diagnosis of heart. This method is very effective even for very noisy signals. Implementation of the method in Matlab, and the success of detection is tested on the CSE and MIT-BIH database. The optimization algorithm is an optional value for the detector.

This master´s thesis deals with the possibilities of innovation process water treatment. Specifically, to explore the use of sodium water glass and nanoiron in removing heavy metals from raw water at the drinking water treatment. For the comparison was used traditionally used coagulant, particularly liquid aluminum sulfate. The introductory part deals with the possibility of modifying the surface water during the treatment process such water into potable water. This chapter is a description of the quality of raw water used, then the description of currently used separation processes. Furthermore, they are described and commonly used types of treatment plants. Conclusion The introductory section deals with traditional coagulants and form a suspension. Another part of this master´s thesis has been devoted to the possibilities of innovation in the treatment of raw waters as drinking water, describes the options and features of the use of water glass and nanoiron. The following section describes the experimental part of this thesis. It is followed by the experimental results. The last chapter summarizes the acquired knowledge and commented on the measured values of the experimental part. This work also shows several specific projects using innovative technologies presented.

The diploma thesis is focused on verifying the success of prediction models mean monthly flows for strategy control storage function of water management system. The success of prediction models is tested during three different periods. To determine the predicted inflows into the reservoirs is applied to the generator artificial flow series LTMA using the Monte Carlo method and the classical model of neuron networks. During the solution is applying the principles of adaptive control. The adaptive control is compared with simple control for improved outflow.