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type: Thesis
acceptance date: 2023-01-13
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creation year: 1974
description: Celem rozprawy jest wyznaczenie efektywnych algorytmów wielopoziomowych rozwiązywania nieliniowych zadań optymalizacji statycznej, sformułowanych jako zadania programowania nieliniowego. Praca analizuje przede wszystkim zadania separatywne przy założeniu nieliniowej funkcji celu z liniowymi bądź nieliniowymi ograniczeniami. Rozprawa opisuje znane metody optymalizacji wraz z algorytmami, skupiając się na algorytmie opartym na iteracyjnym doborze zmiennych oraz rozważając również przypadek niewypukły. Dekompozycja została wykorzystana do zmniejszenia zbyt dużej wymiarowości problemu. Dokonano porównania rozwiązania z zastosowaniem dekompozycji, jak i bez niej, badając różnicę złożoności zarówno czasowej jak i pamięciowej. Analizowane algorytmy zostały zaimplementowane na maszynie cyfrowej ODRA-1204 i potwierdziły one zarówno zysk czasowy jak i pamięciowy z wykorzystania dekompozycji. Jako przykład rozwiązano również praktyczne zadanie optymalizacji automatyzacji fragmentu złożonego obiektu chemicznego.
destination group: studenci
destination group: naukowcy
destination group: uczniowie
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language: Polski
number of pages: 168
origin: AZON2
place of creation: Warszawa
scientific discipline: Dziedzina nauk inżynieryjno-technicznych / informatyka techniczna i telekomunikacja (2018)
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title: Zastosowanie dekompozycji do nieliniowych zadań optymalizacji statycznej systemów wielkich (PD-1974-02)

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