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Specific Bellman's Lost in a Forest Problem analysis
Žůrek, Daniel ; Čermák, Jan (referee) ; Hoderová, Jana (advisor)
This thesis focuses on the analysis of a selected Bellman problem known as "Lost in a Forest." Initially, it defines and presents some auxiliary theorems important for finding the shortest escape path. The main part of the thesis focuses on the construction and analysis of escape paths in various types of forests. The thesis thoroughly examines the shortest escape path in an infinite strip of forest with unit width. The results of this thesis provide new insights into the optimization of escape paths and offer formal proofs confirming that Zalgaller's path is the shortest possible escape path in the given context. Additionally, the thesis addresses the solution for a rectangular forest with an obstacle, bringing new ideas to this area.

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