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Aspects of Optimality and Balance Evaluation of Corporate IS
Neuwirth, Bernard ; Koch, Miloš (advisor)
This doctoral thesis deals with the aspects of evaluation of balance and optimality of corporate information systems. The initiative for this specialization was given by the increasing importance that is being laid on the perception of information systems from the point of view of a business company. More and more resources are being invested in the domain of information systems, but afterwards, it is not always ascertained that the information system is such a system, one could characterize as balanced and optimal for the company today as well as in the future. Often this is because there does not exist for the company an available and easily applicable methodic how to evaluate the system. As one of the main starting points of this doctoral thesis I have chosen the methodic HOS8 that was published 5 years ago on our faculty. The newly proposed methodic HOS2009 is trying to clear up the weak points of the original HOS8 methodic that were discovered during its practical use. This is done mainly by using the information feedback from the applicants of the methodic. Within the scope of this thesis the factors influencing the level of the particular areas of the system and the influence of these areas on its general balance are being examined. With regard to the evaluation of the balance and optimality of the information system, in this thesis the problematic of determination of a balanced and optimal state of information system for a company nowadays as well in the future are being examined. As a part of the methods output the thesis presents also charts representing the general state of the system, the imbalance of the particular parts of the IS and the relationship between the areas of hardware and software. Based on the evaluation of the current state and its comparison to the balanced optimal state for the present day as well for the future, the new possible directions and strategies of further development of the IS in the company are being proposed. I see the best exploitation of the methodic HOS2009 in the company in the support of managerial decisions with impact on: the discovery of potentially problems within the scope of IS of the company, the design of a possible course of development useful for their solution, but also the usage of the methodic as a simple control mechanism.
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Algorithm for Virtual Waiting Room Handling
Mrázek, Patrik ; Kolář, Martin (referee) ; Zemčík, Pavel (advisor)
This thesis deals with a virtual waiting room topic. It informs about currently available products and programming tools. The thesis evaluates them and provides a solution to imperfections found in a current state. The output is an algorithm for handling booking requests in a waiting room. The algorithm solves an inefficient usage of business hours originating from unoptimal requests from a client side. This thesis also describes the created solution in terms of principal of functionality and analyses a success rate of the solution ascertained from a usage simulation.
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Optimal pairs of function spaces for weighted Hardy operators
Oľhava, Rastislav ; Pick, Luboš (advisor) ; Gurka, Petr (referee)
Title: Optimal pairs of function spaces for weighted Hardy operators Author: Rastislav Ol'hava Department: Department of Mathematical Analysis Supervisor of the master thesis: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic Abstrakt: We focus on a certain weighted Hardy operator, with a continuous, quasi- concave weight, defined on a rearrangement-invariant Banach function spaces. The op- erators of Hardy type are of great use to the theory of function spaces. The mentioned operator is a more general version of the Hardy operator, whose boundedness was shown to be equivalent to a Sobolev-type embedding inequality. This thesis is con- cerned with the proof of existence of domain and range spaces of our Hardy operator that are optimal. This optimality should lead to the optimality in the Sobolev-type embedding equalities. Our another aim is to study supremum operators, which are also closely related to this issue, and establish some of their basic properties. Keywords: optimality, weighted Hardy operator, supremum operator
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Optimality of function spaces for classical integral operators
Mihula, Zdeněk ; Pick, Luboš (advisor)
We investigate optimal partnership of rearrangement-invariant Banach func- tion spaces for the Hilbert transform and the Riesz potential. We establish sharp theorems which characterize optimal action of these operators on such spaces. These results enable us to construct optimal domain (i.e. the largest) and op- timal range (i.e. the smallest) partner spaces when the other space is given. We illustrate the obtained results by non-trivial examples involving Generalized Lorentz-Zygmund spaces with broken logarithmic functions. The method is pre- sented in such a way that it should be easily adaptable to other appropriate operators. 1
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Optimal pairs of function spaces for weighted Hardy operators
Oľhava, Rastislav ; Pick, Luboš (advisor) ; Gurka, Petr (referee)
Title: Optimal pairs of function spaces for weighted Hardy operators Author: Rastislav Ol'hava Department: Department of Mathematical Analysis Supervisor of the master thesis: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic Abstract: We focus on a certain weighted Hardy operator, with a continuous, quasi- concave weight, defined on a rearrangement-invariant Banach function spaces. The op- erators of Hardy type are of great use to the theory of function spaces. The mentioned operator is a more general version of the Hardy operator, whose boundedness was shown to be equivalent to a Sobolev-type embedding inequality. This thesis is con- cerned with the proof of existence of domain and range spaces of our Hardy operator that are optimal. This optimality should lead to the optimality in the Sobolev-type embedding equalities. Our another aim is to study supremum operators, which are also closely related to this issue, and establish some of their basic properties. Keywords: optimality, weighted Hardy operator, supremum operator
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Classical operators of harmonic analysis in Orlicz spaces
Musil, Vít ; Pick, Luboš (advisor) ; Kalamajska, Agnieszka (referee) ; Haroske, Dorothee (referee)
Classical operators of harmonic analysis in Orlicz spaces V'ıt Musil We deal with classical operators of harmonic analysis in Orlicz spaces such as the Hardy-Littlewood maximal operator, the Hardy-type integral operators, the maximal operator of fractional order, the Riesz potential, the Laplace transform, and also with Sobolev-type embeddings on open subsets of Rn or with respect to Frostman measures and, in particular, trace embeddings on the boundary. For each operator (in case of embeddings we consider the identity operator) we investigate the question of its boundedness from an Orlicz space into another. Particular attention is paid to the sharpness of the results. We further study the question of the existence of optimal Orlicz domain and target spaces and their description. The work consists of author's published and unpublished results compiled together with material appearing in the literature.
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Optimality of function spaces for classical integral operators
Mihula, Zdeněk ; Pick, Luboš (advisor)
We investigate optimal partnership of rearrangement-invariant Banach func- tion spaces for the Hilbert transform and the Riesz potential. We establish sharp theorems which characterize optimal action of these operators on such spaces. These results enable us to construct optimal domain (i.e. the largest) and op- timal range (i.e. the smallest) partner spaces when the other space is given. We illustrate the obtained results by non-trivial examples involving Generalized Lorentz-Zygmund spaces with broken logarithmic functions. The method is pre- sented in such a way that it should be easily adaptable to other appropriate operators. 1
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Optimality of function spaces for classical integral operators
Mihula, Zdeněk ; Pick, Luboš (advisor) ; Vybíral, Jan (referee)
We investigate optimal partnership of rearrangement-invariant Banach func- tion spaces for the Hilbert transform and the Riesz potential. We establish sharp theorems which characterize optimal action of these operators on such spaces. These results enable us to construct optimal domain (i.e. the largest) and op- timal range (i.e. the smallest) partner spaces when the other space is given. We illustrate the obtained results by non-trivial examples involving Generalized Lorentz-Zygmund spaces with broken logarithmic functions. The method is pre- sented in such a way that it should be easily adaptable to other appropriate operators. 1
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Optimal pairs of function spaces for weighted Hardy operators
Oľhava, Rastislav ; Pick, Luboš (advisor) ; Gurka, Petr (referee)
Title: Optimal pairs of function spaces for weighted Hardy operators Author: Rastislav Ol'hava Department: Department of Mathematical Analysis Supervisor of the master thesis: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic Abstrakt: We focus on a certain weighted Hardy operator, with a continuous, quasi- concave weight, defined on a rearrangement-invariant Banach function spaces. The op- erators of Hardy type are of great use to the theory of function spaces. The mentioned operator is a more general version of the Hardy operator, whose boundedness was shown to be equivalent to a Sobolev-type embedding inequality. This thesis is con- cerned with the proof of existence of domain and range spaces of our Hardy operator that are optimal. This optimality should lead to the optimality in the Sobolev-type embedding equalities. Our another aim is to study supremum operators, which are also closely related to this issue, and establish some of their basic properties. Keywords: optimality, weighted Hardy operator, supremum operator
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Algorithm for Virtual Waiting Room Handling
Mrázek, Patrik ; Kolář, Martin (referee) ; Zemčík, Pavel (advisor)
This thesis deals with a virtual waiting room topic. It informs about currently available products and programming tools. The thesis evaluates them and provides a solution to imperfections found in a current state. The output is an algorithm for handling booking requests in a waiting room. The algorithm solves an inefficient usage of business hours originating from unoptimal requests from a client side. This thesis also describes the created solution in terms of principal of functionality and analyses a success rate of the solution ascertained from a usage simulation.
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