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The Simulation Model of the Development of Pension Insurance
Zárubová, Radka ; Dlouhý, Martin (advisor) ; Kuncová, Martina (referee)
First, this thesis introduces the system of pension insurance with state contribution including its proposed amendment made in 2009. Its aim is to forecast and to analyse expected development in pension insurance with state contribution. The main part of the thesis is focused on the simulation model of this insurance product. Within this model, annual interest on contributions is randomly generated and the amount of money a client of a hypothetical pension fund would receive is calculated. To facilitate this simulation, I programmed and attached (as a part of the thesis) an application in VBA language which enables to run this simulation in the preset number of replications. The thesis gives four examples of simulation experiments -- a simulation of pension insurance, and a simulation of pension saving, both versions both with and without contributions made by client's employer. The comparison of the expected efficiency of the both systems from the point of view of the government and a client is drawn at the end of the thesis.
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Staff scheduling in health services
Uhlíř, Filip ; Dlouhý, Martin (advisor) ; Fábry, Jan (referee)
Purpose of this thesis is to show different solutions for the staff scheduling in health services. There will be shown various issues that this special assignment problem brings. The text will describe solutions using mathematical modeling and one solution using heuristics. Solutions of the mathematical models are divided into two parts. The first part describes two models that address the assignment problem for night duties only. The second part describes two more models that address the assignment problem for the whole day. The models are compared with each other. Among other things, there are also described several possibilities how different models could be combined. Model example is calculated for the staff allocation on night duties. The example uses some of the conditions from the two models that solve this assignment problem.
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DEA models and application on baseball teams
Novotný, Šimon ; Jablonský, Josef (advisor) ; Dlouhý, Martin (referee)
The aim of this diploma thesis is to analyze the efficiency of teams that have participated in the last season of Major League of Baseball. To measure this efficiency Data Envelopment Analysis (DEA) models are used. Theoretic part is focused on explanation of basic definitions related to DEA. The emphasis in this part is concentrated on basic models which are applied in the second part of the thesis. Application study is focused on computation of attack and defence efficiency using BCC a CCR model. In the end the efficiency given by DEA models is compared to the position of teams in the final table.
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Application of Game Theory to Oligopolistic Market
Nekola, Jan ; Dlouhý, Martin (advisor) ; Rada, Miroslav (referee)
This work demonstrates the use of models of game theory to oligopolistic market. It is based on the models of Bertrand, Cournot, Stackelberger, which solves, how optimally the companies decide to maximize their benefit. There is illustrative example here, which is an extension of these models. Decision-making takes place in the several stages, where strategy is suggested according to the certain rules of game theory. Second example deals with the signaling game. My goal is to introduce the theory to the illustrative example and show, how games are sensitive to the changing of information or how specific factors affect the game.
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Analysis of travel agency branches effectiveness with DEA models
Smrčka, Pavel ; Jablonský, Josef (advisor) ; Dlouhý, Martin (referee)
In today's fiercely competitive environment, not only in the tourism sector, we see a rise in the need to identify the weak and strong sides of the performance of the entire branch network of a travel agency, as well as of its components, the particular branches. This problem can be approached using the process of benchmarking. This method is currently widely used to compare the similarly behaving systems and processes in all areas of human activity. Data envelopment analysis models can be used as one of the methods of benchmarking. This thesis deals first with the theoretical description of the basic models of data envelopment analysis. It then moves on to concentrate on the description of the network-based models, which are then used in the practical part of the thesis. In this last part, it compares selected travel agency branches and identifies the deficiencies in particular areas of their performance.
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The Evaluation in Figure Skating from the View of the Decision Making Theory
Erbsová, Markéta ; Dlouhý, Martin (advisor) ; Nečas, Dalibor (referee)
The evaluation methods of competitors in figure skating are the key problem of this sport. The 6.0 system of evaluation was in use until the year 2004. In such system referee compares competitors one by one and decides on the rank. The 6.0 system can be described by method of Expert Judgment and/or Group Participation. In year 2004 International Skating Union introduced the new system. In this new system is in the role of the decision maker mainly the competitor not the referee. The competitor chooses elements of his program which maximized the total point benefit. We can find out the point value of every element in SOV -- Scale of Values. Nowadays the skater can decide according to the Decision Making under Multiple Criteria theory, we use Weighted Sum Approach method which is sufficient for our purpose. In this thesis both systems are going to be explained on particular cases and linked with methods of decision making theory.
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Simulation of hospital evacuation
Novák, Jakub ; Dlouhý, Martin (advisor) ; Sornas, Ladislav (referee)
This diploma thesis deals with security in the hospital enviroment. The work creates a new evacuation plan for large-monoblock Hospital for adults in FN Motol. Evacuation plan covers all activities of the announcement of evacuation after the removal of the last patient from the hospital. For developed evacuation plan at workcompiled four simulation models in SIMUL8. With these models, theevacuation plan and tested models provide a quantitative value, according to which it can better prepare for possible evacuation. This thesis has fulfilled its purpose -- was created functional evacuation plan, and simulation models provide additional information as to which should be ensured smoother running of the evacuation.
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Evaluation and decomposition efficiency using Malmquist productivity index
Skočdopol, Petr ; Dlouhý, Martin (advisor) ; Chrobok, Viktor (referee)
At first, the basics of microeconomics from the perspective of companies, effectiveness and methods of its measurement and the most important information on the distance function this thesis, are shown. It also contains the development of the Malmquist productivity index. The aim of this work is the description of this index and its components. Indicate how these values are calculated and what expressed. Secondary objectives are to introduce different variants of Malmquist indexes and their use. Four models are used for calculating individual components of the Malmquist productivity index. These are the DEA models, Aigner-Chu, Stochastic production frontiers and Stochastic activity analysis. The first three in this work are described in detail. In conclusion is an illustrative example of calculation Malmquist productivity index using DEA models. For the calculation I used the program Lingo.
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Using Data Envelopment Analysis models to assess efficiency of shop network of a Mobile Network Operator
Šabata, Ondřej ; Jablonský, Josef (advisor) ; Dlouhý, Martin (referee)
This master thesis deals with efficiency assessment of shop network of a leading Mobile Network Operator, by which it utilizes an innovative approach called Data Envelopment Analysis (DEA). The following three areas are in main focus of this thesis: advantages of DEA modelling compared to common approaches to Decision Making Units efficiency assessment and extensive summary of majority of DEA models, which are relevant for solving the given problem; followed by a comprehensive model of efficiency assessment of shop network of a Mobile Network Operator, which is unique to this thesis from both theoretical and practical standpoints; and last but not least a detailed analysis of the shop network including recommendations.
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FDH method and its use by efficiency analysis
Průchová, Anna ; Dlouhý, Martin (advisor) ; Jablonský, Josef (referee)
This bachelor thesis deals with evaluation of efficiency of decision making units using data envelopment analysis. The main purpose is to introduce FDH method (Free disposable hull). For easier understanding there are explained two basic DEA models (CCR and BCC) in the first part of the thesis. Then the description of FDH method follows. It contains the mathematical model and graphic visualization. The thesis also briefly describes the appropriate way of data collecting and their adjustment. In the second part there are evaluated efficiencies of lending libraries in the Czech Republic. The data set is analyzed by FDH method and results gained by CCR and BCC method are shown for comparison.
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