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Flow-shop Problems
Dyntar, Tomáš ; Tegze, Miron (advisor) ; Červinka, Michal (referee)
A description of flow shop and lot streaming including an example is given. Methods and algorithms ofr solving various modifications of the single job two-machine flow shop transfer lot sizing problem are shown. It starts with the calsulation of two lots (discrete), three lots (continuous) problem and then Trietsch s polynomial algorithm or an arbitrary number of sublots is introduced. This alogithm is then used for solving modifications with finding the proper number of sublots for given makespan, with constant or linear transfer times including variants with limited number of transfer machines or their limited capacity, with constant or linear set up times. A domed with both transfer and setup times is then developed and Trietschs algorithm modified. A theoreme by R. G. Vickson for solving multiple job lot streaming problem by treating the lot streaming problem for each job separately and then using Johnsons alogorithm is proposed to extend the results of the single job cases to those of multiple jobs. A known way to extend results to the three machine problem by treating each pair of successive machines separately or developing Trietschs algorithm for three machines is shown. Most of the procedures are illustrated in examples.
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Sparse robust portfolio optimization via NLP regularizations
Branda, Martin ; Červinka, Michal ; Schwartz, A.
We deal with investment problems where we minimize a risk measure\nunder a condition on the sparsity of the portfolio. Various risk measures\nare considered including Value-at-Risk and Conditional Value-at-Risk\nunder normal distribution of returns and their robust counterparts are\nderived under moment conditions, all leading to nonconvex objective\nfunctions. We propose four solution approaches: a mixed-integer formulation,\na relaxation of an alternative mixed-integer reformulation and\ntwo NLP regularizations. In a numerical study, we compare their computational\nperformance on a large number of simulated instances taken\nfrom the literature.
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Renovation of a family house
Červinka, Michal ; Fišer, Jan (referee) ; Hejčík, Jiří (advisor)
This master’s thesis is dealing with the plan of reconstruction of the house in an effort to get closer to "near zero building". Total heat loss along with calculation of the cost of the house operation and the energy performance of buildings were computed for the given house. Then we have enclosed suggestions of individual methods of building´s insulation (replacing of windows, doors and gates, insulation of exterior walls, roof and ceiling between floor and attic) and a draft of a new technical building services (forced ventilation with heat recovery, photovoltaic system and heat pump). Furthermore, the suitability of the original heating system was evaluated and the also the energy performance for the renovated building was analyzed during the reconstruction. An economic evaluation was calculated for each method of reconstruction, together with the new green subsidy programme. At the end of the dissertation is drawn up the economic evaluation of the whole proposed reconstruction, together with an assessment, what class of the building we have achieved according to its the energy intensity.
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The Development of Small Company by Franchising
Červinka, Michal ; Mikulecký, Petr (referee) ; Koráb, Vojtěch (advisor)
Annotation: This thesis deals with the development of a small company by means of franchising. This franchising concept is based on the critical analysis of the chosen companies. In the theoretical part I processed franchising generally. The practical part contents the characteristic of the chosen company CZECH RENT A SKI s.r.o. This company deals with a winter equipment rental. I processed this concept based on the analysis of the company. The last part contains the schedule of the implementation of this concept.
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Application Synco Living
Červinka, Michal ; Hejčík, Jiří (referee) ; Štětina, Josef (advisor)
Following bachelor´s thesis is about a modern way of heating and ventilation of the intelligent buildings by the system” Synco living” from Siemens Ltd., discussed advantages and disad-vantages and describes specific components of the given system. Parts of this work are to de-signs houses / apartments showing the practical use of the system. In economic terms, the study points to the purchase price and return of investments over the years. It also discuss the options of further expansion of the system and mutual communication among the components. Conclusion includes directions the development of these systems would take.
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Variational Analysis and Its Applications
Červinka, Michal
The purpose of this meeting is to bring together researchers with common interest in the field. There will be opportunities for informal discussions. Graduate students and others beginning their mathematical career are encouraged to participate.
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Variational Analysis and its applications
Červinka, Michal
Following a longstanding tradition, the Faculty of Mathematics and Physics of Charles University in Prague and the Czech Academy of Sciences will organize a Spring School on Variational Analysis V.The purpose of this meeting is to bring together researchers with common interest in the field. There will be opportunities for informal discussions. Graduate students and others beginning their mathematical career are encouraged to participate.
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