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Network flow models for waste management
Janošťák, František ; Mrázková, Eva (referee) ; Pavlas, Martin (advisor)
This thesis is devoted to the construction of new waste-to-energy plants in a territory where is already another fossil-fuel power station in operation. The aim is to create a mathematical model and prove that those two devices are able to cooperate effectively using same technology. Exactly assembled model under real operating have characteristics of a mixed integer nonlinear programming. The optimization software GAMS is used for its calculation. The complexity of the model, however, is at a level that solutions in bad initial conditions ends in local optima, or not found at all. This thesis is devoted to the elimination of non-linearity using binary variables and heuristic so the task was solved with acceptable time limits to guarantee an optimal solution.
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Models and methods for routing problems
Nevrlý, Vlastimír ; Žák, Libor (referee) ; Popela, Pavel (advisor)
This master's thesis deals with mathematical model building for routing problems and ways to solve them. There are discussed and implemented deterministic and heuristic approaches that are suitable to be utilized. A big effort is put into building of the mathematical model describing a real world problem from the field of waste management. Appropriate algorithms are developed and modified to solve a particular problem effectively. An original graphical environment is created to illustrate acquired results and perform testing computations.
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Acceleration of Discrete Optimization Heuristics Using GPU
Pecháček, Václav ; Jaroš, Jiří (referee) ; Pospíchal, Petr (advisor)
Thesis deals with discrete optimization problems. It focusses on faster ways to find good solutions by means of heuristics and parallel processing. Based on ant colony optimization (ACO) algorithm coupled with k-optimization local search approach, it aims at massively parallel computing on graphics processors provided by Nvidia CUDA platform. Well-known travelling salesman problem (TSP) is used as a case study. Solution is based on dividing task into subproblems using tour-based partitioning, parallel processing of distinct parts and their consecutive recombination. Provided parallel code can perform computation more than seventeen times faster than the sequential version.
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Information System for a School Including Automated Timetabling
Švadlenka, Jiří ; Jurka, Pavel (referee) ; Chmelař, Petr (advisor)
This thesis devote itself to use of information system for school agenda administration. Schools are forced to administer big amounts of informations, not only referred to their students. Broad issue is very extensive and disparate, so the most common types of data and demands on school information system operation are stated. The system for automatic generation of timetables is part of the school information system. At the first, basic conceptions of scheduling scope are defined and tied together with them are methods and algorithms for timetable creation problem solving. School timetabling is problem of scheduling lessons with certain limitative conditions. Further, thesis is engaged in design of school information system, data organization in such system and solving of system design problems. Designed information system accentuates on easy expandability and wide range of usage possibilities. Also suggested algorithm for solving of defined school timetabling is stated in this part of thesis.
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Demonstration of State Space Search Methods
Tureček, Martin ; Drozdová, Martina (referee) ; Zbořil, František (advisor)
This bachelor's thesis describes the issue of state space search methods. Thesis was focused namely on the practical part. Its main goal was to create a demonstration application which should serve as an additional help for Fundamentals of Artificial Intelligence course. The resulting application satisfies this requirement thanks to an easy control, a possibility of steping through the alghoritm and an attractive graphic layout. The application is also implemented as a java applet, so its start should be possible from anywhere.
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Algorithms for Computerized Optimization of Logistic Combinatorial Problems
Bokiš, Daniel ; Peringer, Petr (referee) ; Hrubý, Martin (advisor)
This thesis deals with optimization problems with main focus on logistic Vehicle Routing Problem (VRP). In the first part term optimization is established and most important optimization problems are presented. Next section deals with methods, which are capable of solving those problems. Furthermore it is explored how to apply those methods to specific VRP, along with presenting some enhancement of those algorithms. This thesis also introduces learning method capable of using knowledge of previous solutions. At the end of the paper, experiments are performed to tune the parameters of used algorithms and to discuss benefit of suggested improvements.
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A Randomized Heuristic for the Capacitated Postman Problem
Rýdlová, Lenka ; Pelikán, Jan (advisor) ; Fesenko, Anastasiya (referee)
Graph theory is a large mathematical discipline. Chinese postman problem falls under category of arc vehicle routing problems. Chinese postman problems are very extensive and difficult to calculate in practice. They belong to NP-hard problems. For this reason, heuristics are proposed to provide acceptably good solution in polynomial time. The focus of this thesis is to propose a randomized heuristic which does not follow deterministic rules but is ruled by random. Monte Carlo simulation is launched to find the best solution. Heuristic is formulated for undirected capacitated rural postman problem. It is programmed in VBA and validated on testing problems. At the end of the thesis is a case study about municipal garbage collection.
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Heineken Beer Distribution Optimalisation
Vršecká, Renáta ; Fábry, Jan (advisor) ; Pelikán, Jan (referee)
This thesis deals with real logistic problem of the Heineken CZ Company. The company sets down an itinerary for each vehicle to distribute its goods to particular customers on daily basis. These itineraries are created manually, only with the skill of experienced driver. The goal of this thesis is to find a solution with an algorithm, which will be able to set optimal itineraries of all vehicles, so the total distance and therefore operating costs are minimized, with only the knowledge of distances between each two nodes.
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The multiple knapsack problem
Černý, Vít ; Kalčevová, Jana (advisor) ; Suchánková, Tereza (referee)
The knapsack problem is one of the classical operations research problems. It belongs to the category of integer linear programming problems and is most often formulated as a binary problem. This thesis describes different categories of the problem and also some methods for finding their solution. Although there are precise algorithms for finding reliable optimal solution, some of the knapsack problems are so large that it would be impossible to follow the exact algorithms. Therefore, more complex knapsack problems belong to the complexity class of NP-complete. Yet there are a variety of heuristics and methods developed, which can lead to a sufficiently good solution in a relatively short time and relatively simple way. This paper focuses particularly on one of the problems described, the multiple knapsack problem. It is showed on a practical example how the problem can be solved.
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Application of Heuristic Methods for Vehicle Routing Problem with Time Windows
Chytrá, Alena ; Fábry, Jan (advisor) ; Pelikán, Jan (referee)
This thesis demonstrates practical using of vehicle routing problem with time windows (VRPTW) and its solution by heuristic method. There are described teoretical principles of integer models, mathematical definitions of VRP with one or more vehicles, VRPTW and some heuristics for VRP. The practical part is solution of VRP by heuristic nearest neighbor. Product distribution is planed according to the firm settings in Prague. I compare existing situation and computed solution that show benefits of using described methods in conclusion.
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