|
|
Optimization of the TV ad planning using mathematical models
Petruška, Tomáš ; Jablonský, Josef (advisor) ; Kalčevová, Jana (referee)
Planning and optimization of TV advertising space in the area of the Czech media market requires a knowledge of features of the problem and systems that are able to suggest the best results from data taken from measurement of TV audience, which is complex and demands special capacity. These results should be obtained (calculated) by using mathematical optimization models. Results depend on the objectives of company. The content of this thesis is to create and implement mathematical models, which serve to solve practical problems about planning advertising space and commercial blocks. The work deals with the characteristics of the television media market, audience measurement, the factors that influence the ratings, as well as an examination of other indicators that are necessary for the planning and optimization of TV advertising. Besides familiarizing the reader with the operations of buying advertising space, this paper`s goal is to demonstrate newly created mathematical models that are applicable to the work of TV channels, media agencies or other companies, which deal with the optimization of the television media market.
|
|
|
Analysis of labor in the shop building materials
Valná, Hana ; Kalčevová, Jana (advisor) ; Zouhar, Jan (referee)
The present thesis shows the manner of distributing workers on shifts with regular work load but uneven work schedules. It is generally known as the covering or set-covering problem. The present paper describes a way to solve it with mathematical modelling and programs for possible planning of workers on shifts. The issue is documented on a case of an existing company.
|
|
|
Scoring Models in Finance (Skóringové modely ve financích)
Rychnovský, Michal ; Zouhar, Jan (advisor) ; Kalčevová, Jana (referee)
The aim of the present work is to describe the application of the logistic regression model to the field of probability of default modeling, and provide a brief introduction to the scoring development process used in financial practice. We start by introducing the theoretical background of the logistic regression model; followed by a consequent derivation of three most common scoring models. Then we present a formal definition of the Gini coefficient as a diversification power measure and derive the Somers-type formulas for its estimation. Finally, the key part of this work gives an overview of the whole scoring development process illustrated on the examples of real business data.
|
|
|
Choice of the suitable software from the viewpoint of multi-criteria decision making
Mašátová, Jana ; Kalčevová, Jana (advisor) ; Skočdopolová, Veronika (referee)
In today's world there are many different substitutes for most products and services, increasing the demands on decision-making among substitutes. In order to make a decision, it may be very helpful to use multi-criterial methods for evaluating of the options, which are available to the general public through special programs. Thank to these programs, the general public does not have to be informed in detail about multi-criterial methods and can use the convenience of multi-criteria analysis. The aim of this thesis is to describe and compare the publicly available noncommercial czech software that allows the simplification of choice when choosing from several options according to specified criteria. The thesis work is focused on discrete models of evaluation that are simpler and more suitable for pre-defined alternatives. Non-commercial programs, many of which were created at universities, are evaluated in this thesis. Furthermore, some very well-known evaluation methods, which appear in some programs, are presented.
|
|
|
Analytic Network Process Method
Lesák, Petr ; Kalčevová, Jana (advisor) ; Černohous, Roman (referee)
The thesis is concerned with Multi-Criteria Decision Making, in particular the Analytic Network Process method. The introductory part is dedicated to compile all the theory necessary to understand the method and utilized throughout the paper. The Analytic Hierarchy Process method is described and later generalized in the form of the ANP. Part of the paper is a description of available software products that are able to solve the ANP models. The main focus is on the application of the method, the usability and efficiency of possible use in macroeconomics is tested. In the third chapter a macroeconomic forecasting model is developed in cooperation with experts. The results of this model are compared with the best available up-to-date forecasts by local and international institutions.
|
|
|
Optimization of the organizational structure
Škaloudová, Hana ; Kalčevová, Jana (advisor) ; Mynařík, Petr (referee)
Optimization of the organizational and enterprices structure is very useful in this time. Restructuring can save money and time. For measuring of effeciency, we can use SWOT analysis, multicriteria analysis and Data Envelopment Analysis (DEA). In this bachelor thesis, I use DEA analysis. DEA use inputs and outputs and calculate effeciency of homogeneous units. More outputs and less inputs is better. I apply DEA on the scout movements in Prague. I calculate with mpl effeciency of units. I use real data and I suggest changes.
|
|
|
Optimalization of flows in the network using the linear programming
Doubrava, Jiří ; Kalčevová, Jana (advisor) ; Flusserová, Lenka (referee)
This thesis deals with optimization of flows in a network with focus on solutions based on linear programming. The theoretical part is divided into three main sections: maximal flow, minimal flow and maximal flow with minimal costs. The first part focuses on theoretical basics of maximal flow problem and mainly on these algorithms: Ford-Fulkerson, Dinic/Edmonds-Karp, Three Indians algorithm and Goldberg push-relabel algorithm. These are explained on examples. The other chapters explain the minimal flow and the maximal flow with minimal costs problems with simple algorithms for their solutions, again explained on some examples. The practical part includes software solution of maximal flow problem in application MaxTok, which can be found on attached CD.
|
|
|
The Multi-Dimensional Knapsack Problem
Ficová, Pavla ; Kalčevová, Jana (advisor) ; Černohous, Roman (referee)
This work deals with multi-dimensional knapsack problem. Knapsack problem coincides with the category of integer linear programming. Thanks to the necessity of integer result it used to be more difficult to find the solution, by meeting all limitations. A lot of statisticians and mathematicians from all over the world are engaged in inventing an exact algorithm for calculation of these problems. As at now, there have been various accesses and heuristics concerning how to solve these problems or at least how to get as close to the optimal solution as possible. Problems with many variables are impossible to solve by hand calculations, the model is too complex and number of iterations is really high. Extensive exercises can be solved by advanced software in several minutes or longer. This work is trying to describe the problems, clear up and show practical application of knapsack problem in a real situation.
|
|
|
Watering garden problem
Janovský, Martin ; Kalčevová, Jana (advisor) ; Mynařík, Petr (referee)
Watering garden problem is focused on using a special methods of linear programming on real garden. Especially using of travelling salesman problem and vehicle routing problem. Practices of these methods are demonstrated on real garden. The problem comes when it's necessary to find an optimal path between source of water and plants needing some water. Both problems (travelling salesman problem and vehicle routing problem) are solved through optimization software and heuristic methods (method of the nearest neighbour, savings method and method of the cheapest input). Main goal is to find the best solution which is usable.
|
|
|
Postoptimality changes in trasportation problem
Hesounová, Kristýna ; Lagová, Milada (advisor) ; Kalčevová, Jana (referee)
This bachelor thesis deals with postoptimality changes in the transportation problem. Postoptimality analysis evaluates how can be optimal solution influenced by an additional changes in setting. The theory, which is necessary for understanding these questions, is mentioned first. Then are clarified methods, which are using in cases of changes in rigt-hand-side values for contraint, changes in value of price coefficient and changes in number of constraing. These changes are demonstrated on examples.
|
guest ::
