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Workforce Optimisation
Pacinda, Štefan ; Barták, Roman (advisor) ; Klusáček, Dalibor (referee)
Title: Workforce Optimisation Author: Štefan Pacinda Department / Institute: Department of Theoretical Computer Science and Mathematical Logic (KTIML) Supervisor of the master thesis: doc. RNDr. Roman Barták Ph.D., KTIML Abstract: Workforce management deals with the problem of maintaining productive workforce for example in call centers, hospitals, transportation companies etc. It includes the problem of deciding which skills are necessarily at each given time and how many personnel with given skills is required. These decisions are followed by solving the problem of allocating particular employees to shifts while satisfying the skill demands but also other constraints derived for example from law regulations, trade unions agreements, and individual preferences. This thesis deals with workforce optimization, that is with the optimal assignment of personnel to shifts in order to cover the demand for resources that vary over time. In this paper the solved problem is described in all detail and modeled as mixed integer program. Implementation details are presented and exhaustive analysis and experiments on a real life problem instance are performed to assure that the aims of the work have been met. Keywords: Rostering, Workforce Management, Shift Scheduling
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Metaheuristic optimalization for routing problems
Novák, Vít ; Fábry, Jan (advisor) ; Melechovský, Jan (referee)
Routing problems are ones of the most famous members of the group of the classical optimalization combinatorial problems. Travelling salesman problem and problems derived from it have been attracting mathematics and analysts, since they were firstly formulated, and accelerating a development of new methods and approaches that can be used for a wide range of another real-life problems. This thesis aims to demonstrate an usefulness and a flexibility of shown metaheristic methods. Results are compared with outputs of alternative algorithms or known optimal solutions where it is possible. To fulfill this goal the VBA application has been developed. The results of experiments are presented and the application is decribed in a second part of this thesis. A reader should be sufficiently instructed which way he could choose to solve similar types of problems
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Variations of actinide magnetism in uranium-base hydrides and other selected systems
Adamska, Anna Maria ; Havela, Ladislav (advisor) ; Arnold, Zdeněk (referee) ; Figiel, Henryk (referee)
Title: Variations of actinide magnetism in uranium-base hydrides and other selected systems. Author: Anna Maria Adamska Department / Institute: Department of Condensed Matter Physics Supervisor of the doctoral thesis: Doc. RNDr. Ladislav Havela, CSc., the Department of Condensed Matter Physics Faculty of Mathematics and Physics Charles University, Prague, Czech Republic and Assoc. Prof. Dr. hab. Nhu-Tarnawska Hoa Kim Ngan, Institute of Physics, Pedagogical University, Kraków, Poland. Abstract: Actinide magnetism was studied in three different types of systems. Variations of magnetic properties of UTGe hydrides as a function of hydrogen concentration prove that doping of U intermetallics by interstitial hydrogen leads to stronger magnetic properties, primarily caused by an increase of the inter-uranium separation. Sputter-deposited UFe2+x films, which are derived from the UFe2 Laves phase but have an amorphous structure, exhibit an increase of the Curie temperarture (to more than 400 K) with the Fe excess, which could not be achieved in the bulk. This is understood as a result of the prominent role of the 3d magnetism of Fe. Notoriously weakly magnetic plutonium was studied in the form of the alloy in the ζ-phase, which exists between 35 and 70 % U in Pu. Its susceptibility increases in a comparison to pure...
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Tests from the introductory course Calculus
JELÍNKOVÁ, Michaela
The aim of this thesis is to didactically properly assemble a set of exercises and tests form the field of Mathematical Analysis. Examples will be based on themes: real-valued functions of a real variable and its properties, limits and continuity of a function, derivative of a function and course of a function. Moodle software will be used to randomly generate specific tests in a way that from each set will be generated certain number of exercises. In addition to the test assignments this thesis will include their detailed solutions. This thesis will work as an individual preparation for the exam in mathematical analysis or the exam itself.
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Sensorless control of BLDC motor
Križan, Jakub ; Toman, Jiří (referee) ; Grepl, Robert (advisor)
This thesis is focused on problematics of control of brushless DC motor in the sensor and also in the sensorless mode. Also it interprets possibilities of BLDC motor control with one faulty sensor and derivation and simulation of mathematical model. First part mentions options of rotor position sensing as well as existing methods of sensorless BLDC motor control. Second part describes control algorithms of sensor and sensorless motor control realised on device dSPACE and also realisation of faulty sensor control algorithm. Third part deals with derivation of mathematical model, its realisation using Matlab Simulink software and identification of its parameters. Last part concludes results and compares control methods used on the real system.
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Synthesis of monosubstituted derivatives of cyclodextrins
Řezanka, Michal
1 Synthesis of monosubstituted derivatives of cyclodextrins Abstract This thesis is focused on a preparation of a set of exactly defined monosubstituted derivatives of -CD for subsequent utilization in organic synthesis. Cinnamyl or allyl group is very suitable for the preparation of monosubstituted derivatives of CD, because these groups contain nonaromatic double bond, which can be widely modified. Peracetylated 2I -O-, 3I -O-, and 6I -O-allyl and 2I -O- and 3I -O-cinnamyl derivatives of -CD mentioned in this thesis were prepared in yields 3.7 - 13 %. Position of allyl and cinnamyl group was determined by 2D NMR techniques. Possibility of derivatization of allyl and cinnamyl derivatives was exemplified by transformation of peracetylated 2I -O-, and 6I -O-allyl and 3I -O-cinanmyl derivatives to peracetylated 2I -O-, 3I -O-, and 6I -O-formylmethyl derivatives via reductive ozonolysis. These aldehydes were oxidized by Jones reagent to 2I -O-, 3I -O-, and 6I -O-carboxymethyl derivatives. Keywords: cyclodextrins, monosubstitution, allyl, cinnamyl, formylmethyl, carboxymethyl
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Music effects
Marko, Matej ; Valla, Tomáš (referee) ; Bálek, Martin (advisor)
Title: Music effects Author: Matej Marko Department: Department of applied mathematics Supervisor: Mgr. Martin Bálek Supervisor's e-mail address: Martin.Balek@mff.cuni.cz Abstract: The effects have crucial position in the proccess of creating music. They enrich song's arrangement and make it all more colorful. Aim of the work is to create application that allows the user to play a sound file and apply chosen effets on it's content in real-time. All changes in effects' settings are imidiatelly transformed into the hearable results. Certain settings can be applied on the whole file and the results afterwards exported to the file. Part of the application is naturally implementation of chosen effects. Main topic of the work's text are methods used to implement the effects. Keywords: effects, music, sound
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Hydraulic losses during unsteady flow of liquid in a pipe
Svoboda, Jakub ; Pochylý, František (referee) ; Habán, Vladimír (advisor)
This thesis is focused on solving hydraulic losses during unsteady flow of liquid in pipe for both laminar and turbulent flow in smooth pipes. Radial viscosity distribution is assumed to be the same as for steady flow. Viscosity distribution is derived from velocity profile, which is mathematically described with suitably chosen function. Laplace images of unsteady velocity profile and mean velocity in cross-section are derived depending on pressure difference. Loss coefficient is derived and on base of transfer matrix method, self-numbers are calculated. Self-numbers represent attenuation and own frequency. Self-numbers are compared to values from software called “F-ACHAR” and loss coefficient is compared to the one for quasi-steady method.
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Derivatives of pyrazine as potential antituberculars (preparation and study of biological properties)
Janďourek, Ondřej ; Doležal, Martin (advisor) ; Farsa, Oldřich (referee) ; Musílek, Kamil (referee)
Charles University, Faculty of Pharmacy in Hradec Králové Department of Pharmaceutical chemistry and Pharmaceutical analysis Candidate Mgr. Ondřej Janďourek Supervisor Prof. PharmDr. Martin Doležal, Ph.D. Consultant PharmDr. Jan Zitko, Ph.D. Title of Doctoral Thesis Derivatives of pyrazine as potential antituberculars (preparation and study of biological properties) This work is focused on pyrazine derivatives with the structural relationship to pyrazinamide (PZA) and with the potential antitubercular effect. In the introduction, there are summarized theoretical findings about tuberculosis (TBC), its epidemiology and primarily the development of resistance to current pharmacotherapy. Brief overview of known antituberculars, novel compounds and auspicious molecules in clinical trials is outlined. PZA, which is counted among the first line antitubercular agents, is widely described due to its cardinal role in this thesis. PZA possible mechanisms of action are described together with its pharmacological profile. Finally, brief summary of already prepared derivatives of PZA is stated. Practical part of this thesis is focused on synthesis of three starting compounds (5-chloro-6-methylpyrazine-2,3-dicarbonitrile; 3-chloropyrazine-2-carboxamide; N-benzyl-3-chloropyrazine-2-carboxamide) that were...
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Derivatives of pyrazinecarboxylic acid as potential antituberculotics (synthesis and biological evaluation)
Vaňásková, Barbora ; Doležal, Martin (advisor) ; Zimčík, Petr (referee) ; Malík, Ivan (referee)
Charles University in Prague, Faculty of Pharmacy v Hradci Králové Department: Department of Pharmaceutical Chemistry and Drug Control Candidate: Mgr. Barbora Vaňásková Supervisor: Prof. PharmDr. Martin Doležal, Ph.D. Title of Doctoral Thesis: Derivatives of pyrazinecarboxylic acid as potential antituberculotics (synthesis and biological evaluation) This doctoral thesis deals with searching for potential antituberculotic drugs derived from pyrazinecarboxylic acid. Thesis contains theoretical part, in which problematics of tuberculosis, factors hindering the effectiveness of treatment (development of resistance and HIV coinfection) and current therapeutic practice are outlined. An individual chapter is devoted to the composition of the mycobacterial cell wall. A brief overview of first-line and second-line antituberculars as well as drugs newly introduced into the clinical practice and promising derivatives in various phases of preclinical and clinical trials is further stated. Special attention is dedicated to pyrazinamide, current theories dealing with mechanism of action of this first-line antituberculotic drug and to ribosomal protein S1, a specific target of pyrazinecarboxylic acid. A summary of pyrazinamide derivatives with antimycobacterial activity published since 2011 is listed for...
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