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The choir’s tour planning - an application of travelling salesman problem
 Marešová, Iva ; Skočdopolová, Veronika (advisor) ; Šindelářová, Irena (referee)
This thesis deals with planning a journey for a choir's tour by means of different methods of mathematical modelling. The first approach is the application of a travelling salesman problem. The study aims to find the shortest closed cycle which will give us an optimal solution. In the case which is solved in this thesis the model of the travelling salesman problem is partly modified because our goal is to choose only half of all the places which are the most effective for us. The thesis focuses on the application of those methods which give us only an approximate solution, particularly the method of the nearest neighbour and the method of change replacement. The first part of the thesis is devoted to the theory dealing with linear programming, distribution problems, heuristic methods and computer programmes for optimization. In the next part the discussed methods are applied to the concrete case in which the journey for the tour is planned. At the end of this thesis there are mentioned modifications which could be solved in this type of problems.
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