Detail projektu

Vývoj nových metod řešení dynamických modelů řízení podniků

Období řešení: 01.01.2016 — 31.12.2018

Zdroje financování

Grantová agentura České republiky - Standardní projekty

- plně financující (2016-01-01 - 2018-12-31)

O projektu

Návrh a algoritmizace metody konstrukce řešení dynamických modelů řízení podnikových procesů daných lineárními a nelineárními úlohami pro systémy funkcionálních diferenciálních rovnic a jejich zvláštní případy, důkaz numerické stability a testování na konkrétních modelech.

Popis anglicky
Proposal and algorithmisation of a method for constructing solutions of dynamic models of corporate processes management given by linear and nonlinear problems for systems of functional differential equations and their special cases, proof of numerical stability, and testing on concrete models.

Klíčová slova
dynamické modely;funkcionální diferenciální rovnice;diferenciální rovnice se zpožděním;konstrukce řešení;matematický software; řízení procesů;modelování;optimalizace

Klíčová slova anglicky
dynamical models;functional differential equations;differential equations with delay;construction of solutions;mathematical software;process management;modeling;optimization

Označení

GA16-03796S

Originální jazyk

čeština

Řešitelé

Půža Bedřich, doc. RNDr., CSc. - hlavní řešitel

Útvary

Ústav informatiky
- příjemce (01.01.2016 - 31.12.2018)

Výsledky

NOVOTNÁ, V. The Solution Options of an E-shop Model Veronika Novotná. In Vision 2020: Innovation Management, Development Sustainability, and Competitive Economic Growth. Madrid: 2016. p. 1-7. ISBN: 978-0-9860419-8-3.
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CHVÁTALOVÁ, Z. MAPLE – MEANS OF UNDERSTANDING THE APPLICATION OF MODERN METHODS IN THE PRODUCTION PROCESS. Perspectives of Business and Entrepreneurship Development in Digital Transformation of Corporate Business Collected abstracts and programme of international scientific conference. Brno, Czech Republic: Faculty of Business and Management, Brno University of Technology, 2019. p. 31-31. ISBN: 978-80-214-5755-3.
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HŘEBÍČEK, J.; CHVÁTALOVÁ, Z.; NOVOTNÁ, V.; PŮŽA, B. Modeling Environmental Damage by Biowaste Lanfilling. Proceedings Venice2016, Sixth International Symposium on Energy from Biomass and Waste. Venice, Italy: CISA Publisher, 2016. p. 1-3. ISBN: 978-88-6265-007-6.
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DOMOSHNITSKY, A.; HAKL, R.; PŮŽA, B. Multi-point boundary value problems for linear functional-differential equations. Georgian Mathematical Journal (on-line), 2017, vol. 2017, no. 2, p. 1-5. ISSN: 1572-9176.
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MUKHIGULASHVILI, S.; Manjikashvili M. On one two-point BVP for the fourth order linear ordinary differential equation. Georgian Mathematical Journal, 2017, vol. 2, no. 24, p. 265-275. ISSN: 1072-947X.
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KOCH, M.; CHVÁTALOVÁ, Z. Information Systems Efficiency Model. Journal of Systems Integration, 2017, vol. 8, no. 3, p. 3-9. ISSN: 1804-2724.
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DOSTÁL, P. Soft computing v podnikatelství a veřejné správě - Doplněk. 1. 1. Brno: CERM Akademické nakladatelství, 2017. 128 s. ISBN: 978-80-7204-958-5.
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NOVOTNÁ, V.; PŮŽA, B.; KHUSAINOV, D.;GARKUSHA, N. The estimates of convergence of linear systems solutions with aftereffect in the neighborhood of point of the rest. Bulletin Kiev University, series: physics and Mathematics, 2016, vol. 2016, no. 2, p. 141-146. ISSN: 1812-5409.
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NOVOTNÁ, V.; PŮŽA, B.; KHUSAINOV, D.; DZHALLADOVA, I. Research of the effectivness of advertising in conditions of the manufacturers competition. Visnik kiivskogo nacionalnogo universitetu imeni Tarasa Ševčenka, 2016, vol. 16, no. 1, p. 27-31. ISSN: 1728-2276.
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NOVOTNÁ, V.; PŮŽA, B. On the construction of solutions of linear dynamic economic problems with delay. Ariel Conference on Functional Differential Equations and Aplications. Ariel: Ariel Universiy, 2017. p. 10-10.
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DOSTÁL, P. Simulation of Dessemination of Marketing Information. In Sborník příspěvků 24.ročníku konference. National Library of Technology. Praha: the University of Chemistry and Technology, 2017. p. 13-14. ISBN: 978-80-7592-002-7. ISSN: 2336-1662.
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NOVOTNÁ, V.; PŮŽA, B. USE OF DELAY DIFFERENTIAL EQUATIONS IN DYNAMICAL ECONOMIC MODELS. XVIII International Conference "Dynamical System Modeling and Stability Investigations". Kyjev: Taras Shevchenko National University of Kyiv, 2017. p. 155-155. ISBN: 978-617-517-127-9.
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NOVOTNÁ, V.; ŠKAPA, S. A Nonlinear Microeconomic Model of Goods Production and Sale Using Functional Analysis. In PROCEEDINGS OF THE 11th INTERNATIONAL MANAGEMENT CONFERENCE - The Role of Management in the Economic Paradigm of the XXIst Century. INTERNATIONAL MANAGEMENT CONFERENCE. Bucharest: Management Academic Society in Romania, 2017. p. 1-8. ISSN: 2286-1440.
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PŮŽA, B.; SHCHOBAK, N.; RONTÓ, A.; RONTÓ M. On Solutions of Nonlinear Boundary-Value Problems Whose Components Vanish at Certain Points. Ukrainian Mathematical, 2018, vol. 2018, no. 1, p. 94-114. ISSN: 0041-5995.
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NOVOTNÁ, V.; PŮŽA, B.; KHUSAINOV, D.; DZHALLADOVA, I. Influence delay effekts in the convergence of solution in nonlinear systems. Visnik kiivskogo nacionalnogo universitetu imeni Tarasa Ševčenka, 2016, vol. 16, no. 1, p. 32-35. ISSN: 1728-2276.
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CHVÁTALOVÁ, Z.; HŘEBÍČEK, J. Selected Aspects to Determine of Sustainable Value in Enterprise Practice. In Conference Proceedings of 20th International Conference Enterprise and Competitive Environment. 1. Brno: Mendel University in Brno, 2017. p. 347-356. ISBN: 978-80-7509-499-5.
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CHVÁTALOVÁ, Z.; HŘEBÍČEK, J.; KOCH, M. The Solution of the System of Differential Equations with Delays as a Model of Economic Equilibrium in Maple. Collected Abstracts of Perspectives of Business and Entrepreneurship Development in Digital Age: Economic, Management, Finance andSystem Engineering from the Academc and Practitioners Views. 1. Brno: Fakulta podnikatelská Vysokého učení technického v Brně, 2017. p. 39-39. ISBN: 978-80-214-5531-3.
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CHVÁTALOVÁ, Z.; HŘEBÍČEK, J. Dynamic Modeling Economic Equilibrium with Maple. Book of Abstracts of 35th International Conference Mathematical Methods in Economics. Hradec Králové: Univerzita Hradec Králové, Fakulta informatiky a managementu, 2017. p. 47-47. ISBN: 978-80-7435-677-3.
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CHVÁTALOVÁ, Z.; HŘEBÍČEK, J. Dynamic Modeling Economic Equilibrium with Maple. In Proceedings of 35th International Conference Mathematical Methods in Economics. Hradec Králové: Univerzita Hradec Králové, Fakulta informatiky a managementu, 2017. p. 265-270. ISBN: 978-80-7435-678-0.
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MUKHIGULASHVILI, S. THE MIXED BVP FOR THE SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATION AT RESONANCE. Miskolc Mathematical Notes, 2017, vol. 18, no. 2, p. 975-992. ISSN: 1787-2405.
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NOVOTNÁ, V.; ŠKAPA, S. Solving microeconomic model using methods of functional analysis. Economic Computation and Economic Cybernetics Studies and Research, 2018, vol. 2018, no. 1, p. 77-88. ISSN: 0424-267X.
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NOVOTNÁ, V.; ŠKAPA, S. Walras dynamic model with the influence of history. In Inovation Management and Education Excellence through Vision 2020. Milano: Ibima Publishing, 2018. p. 884-892. ISBN: 978-0-9998551-0-2.
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NOVOTNÁ, V.; BOBALOVÁ, M. Optimal replenishment policy for deteriorating and non-deteriorating items. Engineering Economics, 2018, vol. 29, no. 2, p. 272-280. ISSN: 1392-2785.
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PŮŽA, B.; NOVOTNÁ, V. On the construction of solutions of general linear boundary value problems for systems of functional differential equations. Miskolc Mathematical Notes, 2019, vol. 19, no. 2, p. 1063-1078. ISSN: 1787-2405.
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NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A. Comparative Analysis and New Field of Application of Lanchester’s Combat Models. In Post-conference proceedings of selected papers extended version Conference MITAV-2018. 2018. p. 118-134. ISBN: 978-80-7582-065-5.
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NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A.; KHUSAINOV, D. Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Mode. Journal of automation and information sciences, 2018, vol. 50, no. 9, p. 25-37. ISSN: 1064-2315.
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BOBALOVÁ, M. Utility Maximization as an Optimization Task. In Vision 2020: Sustainable Economic Development and Application Management from Regional expansion to Global Growth. -. Seville: IBIMA, 2018. p. 1343-1347. ISBN: 978-0-9998551-1-9.
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SHCHOBAK, N.; RONTÓ, A., RONTÓ, M. Parametrisation for boundary value problems with transcendental non-linearities using polynomial interpolation. Electronic Journal of Qualitative Theory of Differential Equations, 2018, vol. 2018, no. 1, p. 1-22. ISSN: 1417-3875.
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NOVOTNÁ, V.; MUKHIGULASHVILI, S. Some two-point problems for second order integro-differential equations with argument deviations. Topological Methods in Nonlinear Analysis, 2019, vol. 2019, no. 2A, p. 459-476. ISSN: 1230-3429.
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MUKHIGULASHVILI, S.; MANJIKASHVILI, M. Dirichlet BVP for the Second Order Nonlinear Ordinary Di erential Equations at Resonance. Mathematical Modelling and Analysis, 2019, vol. 24, no. 4, p. 585-597. ISSN: 1648-3510.
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BOBALOVÁ, M. Maple Application in Economic Disciplines. In PERSPECTIVES OF BUSINESS AND ENTREPRENEURSHIP DEVELOPMENT IN DIGITAL TRANSFORMATION OF CORPORATE BUSINESS. Brno: Faculty of Business and Management, 2019. p. 169-174. ISBN: 978-80-214-5756-0.
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DOUBRAVSKÝ, K.; DOSKOČIL, R.; DOHNAL, M. A Dynamic Knowledge Model of Project Time-Cost Analysis Based on Trend Modelling. Periodica Polytechnica, Social and Management Sciences, 2020, vol. 28, no. 1, p. 18-28. ISSN: 1416-3837.
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NOVOTNÁ, V.; PŮŽA, B.; HŘEBÍČEK, J. Modelling socio-ecological problems with delay. Case study on environmental damage. In International Congress on Environmental Modelling and Software. Toulouse: iEMSs, 2016. p. 1-9. ISBN: 9788890357459.
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