"28"^^ . "Economic Systems under Uncertainty: Optimization and Approximation"@en . "28"^^ . "GA402/07/1113" . . . . . "Ekonomick\u00E9 syst\u00E9my za neur\u010Ditosti: optimalizace a aproximace" . "Dynamic Systems" . . . "Pr\u00E1ce na projektu prob\u00EDhaly v souladu s grantovou p\u0159ihl\u00E1\u0161kou. Byly dosa\u017Eeny hodnotn\u00E9 teoretick\u00E9 v\u00FDysledky umo\u017E\u0148uj\u00EDc\u00ED konstrukci p\u0159ijateln\u00FDch aproximativn\u00EDch metod \u0159e\u0161en\u00ED v\u00EDcestup\u0148ov\u00FDch stochastick\u00FDch \u00FAloh, a to i v p\u0159\u00EDpad\u011B z\u00E1visl\u00FDch dat. Pozornost byla za"@cs . . "0"^^ . . . . . "Economic activities developing over time are very often influenced by a random factor and a %22decision%22 parameter (that has to be chosen according to economic possibilities). Since mostly, it is necessary to evaluate economic activities simultaneously by a few %22utility%22 functions, the economic activities lead (from the mathematical point of view) very often to rather complicated multiobjective and multistage (dynamic) optimization models. The aim of the proposed grant project is to continue, generalize and specify models constructed and investigated under grant projects No. 402/98/0742, No. 402/01/0539 and No. 402/04/1294; all supported by the Grant Agency of the Czech Republic. In the proposed grant project we intent not only to construct the models but we focus on a construction of approximative solution schemes of the corresponding optimization problems. To this end, an investigation of the models will be necessary. Markov, Poisson processes and weak dependent random sequences will be employed to"@en . "1"^^ . "http://www.isvav.cz/projectDetail.do?rowId=GA402/07/1113"^^ . . . "."@en . . "2007-01-01+01:00"^^ . "0"^^ . . . "Dynamic Systems; Mathematical Models; Stochastic Decision"@en . . . " Mathematical Models" . . "2015-01-22+01:00"^^ . "2009-04-22+02:00"^^ . . "2009-12-31+01:00"^^ . "Ekonomick\u00E9 a soci\u00E1ln\u00ED d\u011Bje se vyv\u00EDjej\u00ED v \u010Dase pod vlivem n\u00E1hodn\u00FDch faktor\u016F. Kone\u010Dn\u00FD pr\u016Fb\u011Bh ekonomick\u00E9ho procesu v\u0161ak z\u00E1vis\u00ED i na rozhodnut\u00EDch provozovatele, kter\u00FD z\u00E1sah do pr\u016Fb\u011Bhu vol\u00ED v r\u00E1mci (podstatou probl\u00E9mu) povolen\u00FDch mo\u017Enost\u00ED. Jeliko\u017E ekonomick\u00E9 procesy je rozumn\u00E9 \u010Dasto sou\u010Dasn\u011B ohodnotit n\u011Bkolika %22u\u017Eitkov\u00FDmi%22 funkcemi, b\u00FDv\u00E1 odpov\u00EDdaj\u00EDc\u00ED matematick\u00FD model zna\u010Dn\u011B slo\u017Eit\u00FD dynamick\u00FD a v\u00EDcekriteri\u00E1ln\u00ED. C\u00EDlem navrhovan\u00E9ho grantov\u00E9ho projektu je pokra\u010Dovat, zobecnit a bl\u00ED\u017Ee specifikovat stochastick\u00E9 dynamick\u00E9 modely vznikl\u00E9 v r\u00E1mci grantov\u00FDch projekt\u016F \u010D. 402/98/0742, \u010D. 402/01/0539 a \u010D. 402/04/1294 GA \u010CR. V navrhovan\u00E9m projektu hodl\u00E1me se v\u0161ak zam\u011B\u0159it nejen na tvorbu model\u016F, ale hlavn\u011B na konstrukci %22aproximativn\u00EDch%22 sch\u00E9mat \u0159e\u0161en\u00ED. Pro zabezpe\u010Den\u00ED dobr\u00FDch aproximativn\u00EDch vlastnost\u00ED budeme muset v\u011Bnovat zna\u010Dnou pozornost studiu konstruovan\u00FDch model\u016F. Pro v\u00FDvoj n\u00E1hodn\u00E9ho faktoru pou\u017Eijeme Markovovy a Poissonovy procesy; zam\u011B\u0159\u00EDme se v\u0161ak i na speci\u00E1ln\u00ED typy jako autoregresn\u00ED posloupnosti, modely s" .