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Linear Programming Used as an Effective Weapon by Manager
Zaoralová, Hana ; Havlíček, Radomír (referee) ; Chvátalová, Zuzana (advisor)
The Bachelor’s thesis is focused on the processes taking place in the firm and their optimization using linear programming. At the first part of thesis the theoretical background, basic concepts and methods are defined, thus become familiar with operational research. Then the current situation and subject of business of the company are analyzed. The analytical section will examine specific situation related to the process in the company, knowledge of linear programming will be applied and we will attempt to find out whether these mathematical discipline can be practically used also in nonmanufacturing company, that is primarily engaged in providing logistics. Finally, the results will be interpreted using the software Maple.
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Graphs, Algorithms and their Application
Venerová, Lenka ; Dostál,, Jiří (referee) ; Bobalová, Martina (advisor)
The Bachelor thesis is primarily focused on the problems of graphs and graph algorithms. The main point is to explain and to enlarge the subject. Very often, we find ourselves confronted with problems, which we, though unconsciously, solve by means of the graph algorithms knowledge. Therefore, the other aim of my bachelor thesis is to demonstrate the application of some of these methods in solving distribution tasks.
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Traffic assignment optimization models
Holešovský, Jan ; Mrázková, Eva (referee) ; Popela, Pavel (advisor)
Optimalizace toku v síti je klasickou aplikací matematického programování. Tyto modely mají, mimo jiné, široké uplatnění také v logistice, kde se tak snažíme docílit optimálního rozdělení dopravy, např. vzhledem k maximalizaci zisku, či minimalizaci nákladů. Toto pojetí ovšem často problém idealizuje, poněvadž předpokládá existenci jediného rozhodovatele. Takový přístup je možný ve striktně organizovaných sítích jako např. v logistických sítích přepravních společností, železničních sítích či armádním zásobování. Úloha ''Traffic Assignment Problem'' (TAP) se zaměřuje na dopady teorie her na optimalizaci toku, tj. zkoumá vliv více rozhodovatelů na celkové využití sítě. V práci se zaobíráme úlohou TAP s působením náhodných vlivů, k čemuž využíváme metod stochastické a vícestupňové optimalizace. Dále zkoumáme možnosti zlepšení stávajícího využití sítě za rozhodnutí autoritativního rozhodovatele, kterému je umožněn zásah do samotné struktury sítě, k čemuž využíváme víceúrovňové programování.
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Optimization in Logistics
Huclová, Alena ; Škapa, Stanislav (referee) ; Popela, Pavel (advisor)
The thesis is focused on the optimization of models of transportation and transshipment problem with random demand, additional edges, and dynamic pricing. The theoretical part of the thesis introduces mathematical models of transportation. The software GAMS, which is used for the solution, is all so described. The practical part is a split among chapters and implements the described models by using real data.
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Operační výzkum - nástroj snižování nákladů na distribuci v dopravní firmě
Kalášová, Libuše
Kalasová, L. Operation Research -- the tool to reduce the distribution costs of the transport company, Diploma work, Brno: Mendel University in Brno, 2013. The master theses is focused on finding of the appropriate method solution to the composition routes and thereby on reducing of the distribution costs of the firm supplying the veterinary medications and aids. The work is divided into a literature review and its own work. The literature review provides the theoretical basis for the main work. It includes the issues of the logistics, the use of appropriate methods of the operation research and the description of the modular optimization program STORM. In the own work the activities of the company and the problem meant for a solution are described. The options are designed to troubleshoot and the optimization is carried out using the chosen method. In the conclusion, the final costs are calculated and compared with the existing situation.
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System for solving distribution problems of LP – LINGO/Excel interface
Krčál, Adam ; Jablonský, Josef (advisor) ; Zouharová, Martina (referee)
Discrete problems of linear programming, i. e. problems with integer or binary variables, have a great amount of real-life applications. Among distribution problems, belong many different kinds of problems with discrete character -- transportation problem, container transportation problem, allocation problem, assignment problem, plant location problem, traveling salesman problem etc. In this work the theoretical aspects of chosen types of problems are explained and then an application in Microsoft Excel 2010 environment is created. For that purpose programming language VBA is the key instrument. The application cooperates with two different optimization systems -- the Solver add-in in Excel and professional optimization system Lingo. Functionality of the application is thereafter tested on some examples.
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Graph theory – an alternative method of solving LP problems
Hrabovská, Michaela ; Šindelářová, Irena (advisor) ; Chýna, Vladislav (referee)
This bachelor thesis analyses an example of an alternative method of solving selected linear programming problems using graph theory. These alternative methods are explained not only theoretically, but also illustrated on the practical examples. For comparison, there is a theoretical description and also practical solution of selected problems with using linear programming stated in the text. In the introductory part of the thesis, the theory of operations research is briefly discussed. The selected problems are: knapsack problem, transportation problem, assignment problem.
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Parking Management
Princ, Vojtěch ; Musil, Martin (advisor) ; Voráček, Jan (referee)
The objective of this thesis is to design the appropriate parking management for downtown of Jindrichuv Hradec. The theoretical part is focused on the traffic problem and its negative effects on environment of cities in relation to increase in private car transport in recent years. In the next chapter, parking management and its specific strategies are described as instruments solving problems with urban transport including its static and dynamic part. Practical part includes description of current traffic conditions and accessibility of the town centre of Jindrichuv Hradec. The description results from information obtained by personal mapping of location and measuring of parking occupancy. The proposed solution of certain parking policies that result in more efficient use of parking resources with minimized traffic impacts on historical centre of town follows.
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