Ing. Mgr. Eva Mrázková, Ph.D.
E-mail:   zampachova@fme.vutbr.cz  Dept.:   Institute of Mathematics Dept. of Statistics and Optimization Position:   Assistant Professor Room:   A1/1940

Publications:

• MATOUŠEK, R.; ŽAMPACHOVÁ, E.:
  Promising GAHC and HC12 algorithms in global optimization tasks,
  OPTIMIZATION METHODS & SOFTWARE, Vol.26, (2011), No.3, pp.405-419, ISSN 1055-6788, Taylor & Francis
  journal article - other
• ŽAMPACHOVÁ, E.; MRÁZEK, M.:
  Návrh nosníku pomocí stochastické optimalizace a posouzení spolehlivosti,
  Informacní Bulletin Ceské Statistické spolecnosti, Vol.22, (2011), No.2, pp.221-225, ISSN 1210-8022, ČStS
  journal article - other
• ŽAMPACHOVÁ, E.; MRÁZEK, M.:
  Design Optimization of Frame Structures,
  MENDEL 2011 - 17th International Conference on Soft Computing, pp.307-313, ISBN 978-80-214-4302-0, (2011), Brno University of Technology, Faculty of Mechanical Engineering
  conference paper
  akce: 17th International Conference of Soft Computing, MENDEL 2011, Brno University of Technology, 15.06.2011-17.06.2011
• ŽAMPACHOVÁ, E.; POPELA, P.:
  Different Reformulations of Stochastic Optimization of the Transverse Vibration,
  Engineering Mechanics, Vol.17, (2011), No.5/6, pp.339-350, ISSN 1802-1484, FSI VUT Brno
  journal article - other
• ŽAMPACHOVÁ, E.:
  Multimediální podpora předmětu Optimalizační modely,
  Sborník příspěvků z konference a soutěže eLearning 2010, pp.291-295, ISBN 978-80-7435-067-2, (2010), Gaudeamus UHK
  conference paper
• ŽAMPACHOVÁ, E.; MRÁZEK, M.:
  Stochastic Optimization in Beam Design and Its Reliability Check,
  MENDEL 2010 - 16th International Conference on Soft Computing, pp.405-410, ISBN 978-80-214-4120-0, (2010), FME BUT
  conference paper
  akce: MENDEL 2010 - 16th International Conference on Soft Computing, Brno University of Technology, 23.06.2010-25.06.2010
• POPELA, P.; SKLENÁŘ, J.; MATOUŠEK, R.; ŽAMPACHOVÁ, E.:
  The External Objects for Optimization Programs,
  MENDEL 2010, pp.465-470, ISBN 978-80-214-4120-0, (2010), VUT
  conference paper
  akce: MENDEL 2010 - 16th International Conference on Soft Computing, Brno University of Technology, 23.06.2010-25.06.2010
• ŽAMPACHOVÁ, E.; POPELA, P.; MRÁZEK, M.:
  Optimum Beam Design via Stochastic Programming,
  Kybernetika, Vol.46, (2010), No.3, pp.571-582, ISSN 0023-5954, Institute of Information Theory and Automation
  journal article - other
• ŽAMPACHOVÁ, E.:
  Approximations in Stochastic Optimization and Their Applications, Nakladatelství VUTIUM
  Ph.D. thesis principal points
• POPELA, P.; MATOUŠEK, R.; SKLENÁŘ, J.; ŽAMPACHOVÁ, E.:
  The Internal Objects for Optimization Programs,
  MENDEL 2009, pp.247-258, ISBN 978-80-214-3884-2, (2009), BUT
  conference paper
  akce: MENDEL 2009 - 15th International Conference on Soft Computing, Brno University of Technology, 24.06.2009-26.06.2009
• MRÁZEK, M.; ŽAMPACHOVÁ, E.; BORÁK, L.; MARCIÁN, P.:
  Strain - Stress Analysis of Tibia,
  11th International Scientific Conference Applied Mechanics 2009, pp.67-68, ISBN 978-80-89313-32-7, (2009), Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava
  conference paper
  akce: Applied Mechanics 2009, Smolenice, 06.04.2009-08.04.2009
• ŽAMPACHOVÁ, E.:
  Aproximativní řešení úloh stochastické optimalizace s omezeními ve tvaru parciálních diferenciálních rovnic,
  FSI Junior konference 2008, pp.16-23, ISBN 978-80-214-3834-7, (2009), FSI VUT
  conference paper
  akce: FSI Junior konference 2008, Brno, 04.02.2009-05.02.2009
• ŽAMPACHOVÁ, E.:
  Odhad kvality řešení vybrané úlohy stochastického programování pomocí metody Monte Carlo,
  Sborník konference CQR Request '08, pp.244-249, ISBN 978-80-214-3774-6, (2008)
  conference paper
  akce: REQUEST ´08, FSI VUT v Brně, 25.06.2008-28.06.2008
• KARPÍŠEK, Z.; NERADOVÁ, V.; ŽAMPACHOVÁ, E.:
  Odhad rozdělení pravděpodobnosti kategoriální veličiny,
  Request '08, pp.93-101, ISBN 978-80-214-3774-6, (2008), VUT v Brně, FSI, Centrum pro jakost a spolehlivost
  conference paper
  akce: REQUEST ´08, FSI VUT v Brně, 25.06.2008-28.06.2008
• KARPÍŠEK, Z.; NERADOVÁ, V.; ŽAMPACHOVÁ, E.:
  A Contribution to the Estimation of Discrete Probability Distribution, BUT FME Brno
  journal article in Web of Science
  akce: MENDEL 2008 - 14th International Conference on Soft Computing, Brno University of Technology, 18.06.2008-20.06.2008
• KARPÍŠEK, Z.; NERADOVÁ, V.; ŽAMPACHOVÁ, E.:
  A Contribution to the Estimation of Discrete Probability Distribution,
  MENDEL 2008, pp.287-292, ISBN 978-80-214-3675-6, (2008), BUT FME Brno
  conference paper
  akce: MENDEL 2008 - 14th International Conference on Soft Computing, Brno University of Technology, 18.06.2008-20.06.2008
• ŽAMPACHOVÁ, E.; POPELA, P.:
  The selected PDE constrained stochastic programming problem,
  Proceedings of the Risk, Quality and Reliability Conference 2007 (RQR 2007), pp.233-237, ISBN 978-80-248-1575-6, (2007)
  conference paper
  akce: Risk, Quality and Reliability Conference 2007 (RQR 2007), Ostrava, 20.09.2007-21.09.2007
• ŽAMPACHOVÁ, E.:
  Užití matematického programování k aproximaci úloh spojité stochastické optimalizace,
  Sborník z 16.semináře Moderní matematické metody v inženýrství, pp.334-338, ISBN 978-80-248-1649-4, (2007), VŠB-Technická univerzita Ostrava
  conference paper
  akce: 16. ročník semináře Moderní matematické metody v inženýrství, Dolní Lomná u Jablunkova, 04.06.2007-06.06.2007
• ŽAMPACHOVÁ, E.:
  Aproximace úloh spojité stochastické optimalizace pomocí matematického programování,
  FSI Junior konference 2006, pp.1-4, ISBN 978-80-214-3364-9, (2007), VUT Brno
  conference paper
  akce: FSI Junior konference 2008, Brno, 04.02.2009-05.02.2009

List of publications at Portal BUT

Abstracts of most important papers:

• MATOUŠEK, R.; ŽAMPACHOVÁ, E.:
  Promising GAHC and HC12 algorithms in global optimization tasks,
  OPTIMIZATION METHODS & SOFTWARE, Vol.26, (2011), No.3, pp.405-419, ISSN 1055-6788, Taylor & Francis
  journal article - other
  This paper deals with a new stochastic heuristic searching algorithm inspired by the fundamental biological principles of survival. It presents a very promising version of a commonly known genetic algorithm denoted as GAHC and an algorithm denoted as HC12. Global optimization properties of these algorithms are illustrated with several nonlinear optimization problems. These problems are also solved by sophisticated solvers in general algebraic modelling system to increase objectivity and to compare different methods. Presented optimization algorithms are implemented in our own optimization toolbox GATE in Matlab environment.
• ŽAMPACHOVÁ, E.; MRÁZEK, M.:
  Návrh nosníku pomocí stochastické optimalizace a posouzení spolehlivosti,
  Informacní Bulletin Ceské Statistické spolecnosti, Vol.22, (2011), No.2, pp.221-225, ISSN 1210-8022, ČStS
  journal article - other
  Chance constrained stochastic programming is applied to a problem concerning an optimal design of beam dimensions and its reliability. The corresponding mathematical model involves an ODE-type constraint, an uncertain parameter related to the external load and one individual chance constraint. An appropriate penalty function is used to reformulate a nonlinear chance constrained stochastic program. An a posteriori check of reliability of the beam is done using simulation techniques in Probabilistic Design System in ANSYS.
• ŽAMPACHOVÁ, E.; MRÁZEK, M.:
  Design Optimization of Frame Structures,
  MENDEL 2011 - 17th International Conference on Soft Computing, pp.307-313, ISBN 978-80-214-4302-0, (2011), Brno University of Technology, Faculty of Mechanical Engineering
  conference paper
  akce: 17th International Conference of Soft Computing, MENDEL 2011, Brno University of Technology, 15.06.2011-17.06.2011
  An engineering problem concerning an optimal design of frame structure dimensions is discussed. The corresponding mathematical model leads to the ordinary differential equations constrained nonlinear deterministic program. A computational scheme for this type of problems is proposed using finite difference method. Two computing systems GAMS and ANSYS with two difference discretization methods (finite difference and finite element method) are compared and similar results are obtained.
• ŽAMPACHOVÁ, E.; POPELA, P.:
  Different Reformulations of Stochastic Optimization of the Transverse Vibration,
  Engineering Mechanics, Vol.17, (2011), No.5/6, pp.339-350, ISSN 1802-1484, FSI VUT Brno
  journal article - other
  The applicability of stochastic programming models and methods to PDE constrained stochastic optimization problem is discussed. The problem concerning the transverse vibration of a string is chosen. Therefore, the corresponding mathematical model involves a PDE-type constraint and an uncertain parameter related to the external load. A computational scheme for this type of problems is proposed, including discretization methods for random elements (scenario based two-stage stochastic programming) and the PDE constraint (finite difference method). Several deterministic reformulations are presented and compared using numerical and graphical results.
• ŽAMPACHOVÁ, E.; POPELA, P.; MRÁZEK, M.:
  Optimum Beam Design via Stochastic Programming,
  Kybernetika, Vol.46, (2010), No.3, pp.571-582, ISSN 0023-5954, Institute of Information Theory and Automation
  journal article - other
  The purpose of the paper is to discuss the applicability of stochastic programming models and methods to civil engineering design problems. In cooperation with experts in civil engineering, the problem concerning an optimal design of beam dimensions has been chosen. The corresponding mathematical model involves an ODE-type constraint, uncertain parameter related to the material characteristics and multiple criteria. As a result, a multi-criteria stochastic nonlinear optimization model is obtained. It has been shown that two-stage stochastic programming offers a promising approach to solving similar problems. A computational scheme for this type of problems is proposed, including discretization methods for random elements and ODE constraint. An approximation is derived to implement the mathematical model and solve it in GAMS. The solution quality is determined by an interval estimate of the optimality gap computed by a Monte Carlo bounding technique. The parametric analysis of a multi-criteria model results in efficient frontier computation. Furthermore, a progressive hedging algorithm is implemented and tested for the selected problem in view of the future possibilities of parallel computing of large engineering problems. Finally, two discretization methods are compared by using GAMS and ANSYS.