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A Comparison of Optimization Programmes
Kovářík, Dušan ; Dvořák, Jiří (referee) ; Šeda, Miloš (advisor)
The thesis is focused on various free available software, designed for mathematical optimization. In the first section, the current offerings on the optimization software market are introduced. Further on, the thesis is dealing in details with selected pieces of software products – specifically GAMS, LINGO, QMS web service (Quantitative Methods Software) and Investigator tool, embedded in MS Office Excel application. The closing part, then, is concerned with testing and comparison of above presented software products, employing the performance tests with pre-selected optimization tasks.
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Optimization Modelling Languages
Molliková, Eva ; Škapa, Stanislav (referee) ; Popela, Pavel (advisor)
The goal of the thesis is to introduce readers into the use of the GAMS modelling language that is an important tool for optimization model building. The overview of useful mathematical concepts introduces the text. The main part of thesis contains four examples presented in detail. Firstly, the basic GAMS related concepts, statements and techniques involving analysis of results are described. The second example illustrates development of model description beginning from quite specific instance towards general and flexible one. Two examples solved at the end show further use of the GAMS and can motivate reader to enhance their konwledge and apply optimization in his areas of specialization.
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Comparison of professional optimization systems performance
Rýdlová, Lenka ; Jablonský, Josef (advisor) ; Charvát, Karel (referee)
The problems of linear programming are very extensive in practice and professional optimization systems are necessary to their solution. Most of the time, these problems concern mixed integer programming. These types of problems have to be solved other then simplex method, even if the other methods are based on it. Integer conditions cause high difficulty with solving and disproportionately prolong solution time. These problems can be found in an electronically library MIPLIB. The library is used to testing optimization systems, which are whole range. The best programs on the market are CPLEX, Gurobi, Xpress and LINGO, used at our university. The focus of this thesis is testing the performance of each program listed above. The comparison is done based on solution time and accuracy of the calculated optimal solution.
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