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Application of Mathematical and Statistical Methods in Company Management
Zezula, Lukáš ; Šustrová, Tereza (referee) ; Novotná, Veronika (advisor)
This thesis discusses the analysis of logistics costs for a company operating a network of vending machines and the subsequent minimization of the established costs by changing the locations and number of supply depots. A function reflecting the dependence of transport, warehousing, and inventory holding costs on the number and locations of depots is derived. The coefficients of this objective function are identified based on data provided by the analyzed company. Optimization of the locations and number of supply depots is performed using the Nelder and Mead iterative algorithm in combination with agglomerative clustering. The proposed approach to optimizing the logistics network is described from a mathematical-statistical and implementation perspective. Special attention is paid to finding optimal routes between supply depots and vending machines using geographic software, which also allows for measuring the route length and the time required to cover the obtained distance. The thesis then presents six proposals for reorganizing the logistics network, reflecting the optimal distribution of supply depots at their different numbers. Various shapes of the inventory holding costs are also considered, and their impact on the optimal number and locations of supply depots is discussed.
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Time minimization for vehicles passing a given trajectory
Suja, Jerguš ; Mauder, Tomáš (referee) ; Porteš, Petr (advisor)
The diploma thesis deals with vehicle movement dynamics and defining a theoretical model for software simulation of vehicle passing a given trajectory, while main aim is time minimization driving mode. Simulation (algorithm for computing speed profile) is then applicated for passing experimental vehicle along Masaryk circuit in Brno. At the end, we optimize chosen vehicle parameters with derivate-free algorithms Multilevel Coordinate Search and Particle Swarm.
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Time minimization for vehicles passing a given trajectory
Suja, Jerguš ; Mauder, Tomáš (referee) ; Porteš, Petr (advisor)
The diploma thesis deals with vehicle movement dynamics and defining a theoretical model for software simulation of vehicle passing a given trajectory, while main aim is time minimization driving mode. Simulation (algorithm for computing speed profile) is then applicated for passing experimental vehicle along Masaryk circuit in Brno. At the end, we optimize chosen vehicle parameters with derivate-free algorithms Multilevel Coordinate Search and Particle Swarm.
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