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Optimization model of production in food industry
Blachová, Katrin ; Pelikán, Jan (advisor) ; Fábry, Jan (referee)
The thesis deals with planning and scheduling of production in the food industry. The theoretical part is concerned with the formulation and structure of the task scheduling and analyses the flow shop in the detail, for which a real application for an unnamed company has been created. It also briefly describes the technical specifications of production, which are crucial for the practical part. The practical part deals with the formulation of a mathematical model. The optimal solution is obtained using the optimization program MPL for Windows. Mathematical model includes variables that solves serial and parallel processors and try to capture as most exact as possible manufacturing processes with the technical specifications for a particular enterprise. The criterion for optimization is to minimize the cost in terms of the selected technology of production.
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Application of mathematical methods for planning and managing network of sales representatives
Mitas, Lukáš ; Fábry, Jan (advisor) ; Borovička, Adam (referee)
Companies from multiple branches use as one way to offer their products and services network of sales representatives. This thesis study mainly designing process of such network and process of planning day to day routes of sales representatives with focus on minimizing cost caused by their work. For designing such network set covering problem model and matching problem model were used. For planning sales representatives routes travelling salesman problem, multiple salesperson travelling salesman problem, vehicle routing problem, nearest neighbor heuristic and authors own solution were used. Usage of multicriterial decision making is briefly mentioned as tool for managing such network on examples of equipment selection. As demonstration on real case, data from Tata Global Beverages (Jemča) company were used.
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Dynamic model of production scheduling of UNIKOV
Petrovičová, Jana ; Pelikán, Jan (advisor) ; Fábry, Jan (referee)
The objective of this thesis is to present the basics of production scheduling problems for workstations and to create an application of dynamic model. This application should help the UNIKOV company to produce similar schedules for their own operations. The theoretical part provides a brief description of terms and characteristics of the scheduling problems. Detailed characteristics are provided on the open shop problem - the task applied on the real world example. The paper then follows with a practical part, covering an explanation of the heuristics model written in VBA for MS Excel, allowing dynamic expansion and management of the production.
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Travelling around Vietnam-application of Travelling Salesman Problem
Pham, Thuy Trang ; Dlouhá, Zuzana (advisor) ; Fábry, Jan (referee)
The circular traffic problem, also known as the Travelling Salesman Problem (TSP) belongs to a group called distribution problems, which is one of the significant group of linear programming. These tasks can be used in many applications areas such as production planning, logistic or travelling. This thesis deals with the application of TSP or its modification to find the optimal route among selected Vietnamese destinations. The aim is to find the best circuit among 20 places out of 37 considering the cost and time. The first chapter concentrates on the general theory of linear programming including the description of economical and mathematical models of the selected distribution problems. The main part of this thesis focuses on The Travelling Salesman Problem itself and its practical application
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Usage of simulation models and software to analyze and improve the process of production company
Fousek, Jakub ; Kuncová, Martina (advisor) ; Fábry, Jan (referee)
The diploma thesis deals with simulation of manufacturing of the order for production of 50 pieces of radial fans RFC 200 in company ALTEKO, Inc. The aim of this diploma thesis is to find out whether it is under current conditions feasible to complete the order and deliver goods to customer in time. The order also includes selection of appropriate engine supplier using the methods of multicriteria evaluation of alternatives. The objective of the first three chapters is to familiarize reader with theoretical basis of multiple criteria decision making, simulation models and project management. The fourth part describes the concept of simulation program Simul8. The fifth part provides information about the company ALTEKO, its history and current business running. In the last chapter theoretical knowledge is used to real problem by using the most important tool simulation of manufacturing process. In the simulation current state of the manufacturing process is explored and proposals how to eliminate weak bottle necks of the process using the experimenting with the model. Based on the obtained results the possible solutions which should be helpful for improvement of company´s processes even in case that the order is completed in time will be proposed.
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Analýza trasování a vytíženosti manipulantů v lisovací hale
Bark, Ondřej ; Borovička, Adam (advisor) ; Fábry, Jan (referee)
The diploma thesis focuses on tracing in layout by handlers between assembly lines in new plant for corporation Continental Automotive Czech Republic ltd, where boosters are produced. The theoretical part involves definitions of logistics, supply chain, material flow and handling equipment. Furthermore, methods of mathematic programming and software equipment are described, such as quadratic assignment problem, knapsack problem, travelling salesman problem from graph theory. In the practical part the situation in corporation has been analyzed and the data prepared for further examination. Then layout of plant and internal processes are evaluated and an appropriate model or concept of solution is selected. Subsequently, application in MS Excel is created with support of VBA scripts (3 kinds of layouts). The user manipulates with application followed by Solver for implementation of a new solution into practice. Finally, the models are interpreted and verified by Lingo. The focus of the thesis is the design of a layout change of a new plant including the description of tracing.
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Optimal placement of State provision of audit services in the Moravian-Silesian Region
Janiczková, Lucie ; Jablonský, Josef (advisor) ; Fábry, Jan (referee)
Municipalities in the Czech Republic deal with their budget, which among others consists of granted subsidies from the region, State, European Union or other organizations. Nowadays the budget transactions are not being under the control. In the future, it is appropriate to introduce some external view to control their spending. Establishment of an audit service for each municipality would be financially inevitable. Therefore it is suggested to provide the State audit services only in some municipalities and to share them with more municipalities within one region. Deployment of the audit centers and assigning municipalities lead to solving a linear problem which falls under the covering problem class. The establishment of audit centers is only illustrative, the employment of more shared state services could follow a similar principle.
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TTT method for the comparison of randomized heuristics
Novotná, Petra ; Pelikán, Jan (advisor) ; Fábry, Jan (referee)
There are many heuristics proposed for practical uses of the postman problem, which reach only approximate solutions, however in real time. Regarding the number of solutions of the postman problem, the efficiency of the heuristic is important to the solver, and that is the reason why the goal of this thesis is to compare the efficiency of different algorithms. In the first part of the thesis, the theory for understanding the comparison is described, which is further used for comparing the efficiency of five modifications of randomized heuristics solving delivery problems using the postman problem with capacities. Variants of solutions are launched on several differently complicated problems with optional edges and with multiple vehicles departing from a single depot. The results are shown in plots. A probability of the ability of one modification to reach the given target value in shorter time than the second modification is computed for more precise evaluation. The assumption is different efficiency when solving a problem of small and large scale.
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Robust portfolio optimization model
Löw, Alexandr ; Pelikán, Jan (advisor) ; Fábry, Jan (referee)
Portfolio optimization models aim to optimally distribute capital among selected stocks, bonds and other securities and financial products offered on financial markets. An important factor in the optimization is the risk, which is by definition very abstract concept and is very difficult to quantify. Robust portfolio optimization model is based on the general robust binary model. The robustness of this model lies in a two-stage optimization, where every solution is subject to maximization of losses and from these pessimistic estimates such a solution is selected that best meets the user's criteria, in our case total return of the portfolio.
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Optimization of logistic processes in the company Kingspan, a.s.
Uhlíř, Filip ; Zouhar, Jan (advisor) ; Fábry, Jan (referee)
The aim of this work is to show the application of operational research on an example that is put into practise and to show the usabillity of this science field. The problem solved will be the Vehicle routing problem with split delivery. The whole process of solving this issue is described in the text. From the income data and automatised data aquisition from publicly acessible resources for the distance matrix to the created mathemathical model for this issue together with the implementation in SW Lingo. Furthermore, in my work classic distribution problem of linear programming in connection to the solved issue are described. Beside that three mathematical models are shown that are occyupying with this type of delivery. They can not be used for fading the solution to this issue as they include certain requirements or conditions which are not taken into account by the given models.
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