Nelineāra matemātiska modeļa ražošanas plāna tuvināta optimizācija

6533b85afe1ef96bd12b90a6

RESEARCH PRODUCT

Nelineāra matemātiska modeļa ražošanas plāna tuvināta optimizācija

Agnese Dārzniece

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Bakalaura darbs veltīts nelineāru matemātisku modeļu ražošanas plāna tuvinātai optimizācijai, pielietojot atšķirīgas metodes problēmas mērķa funkcijas sastādīšanai. Analizēts monoprodukta optimālas ražošanas modelis, kura mērķa funkcijai raksturīga nelineāra sakarība, saskaņā ar kuru produkcijas vienas vienības ražošanas izmaksas samazinās, palielinoties kopējam ražošanas apjomam. Šī modeļa risināšanai pielietota gan pašizmaksas funkcijas linearizācija, gan aproksimācija, izmantojot racionālos splainus. Darbs satur šo metožu teorētisku pamatojumu, realizāciju konkrētajam modelim, kā arī skaitliskus aprēķinus un iegūto rezultātu analīzi. Darba mērķis ir, veicot skaitliskus aprēķinus ar konkrēta modeļa datiem, pamatot, ka, racionālo splainu interpolācija sniedz efektīvāku atrisinājumu. Atslēgvārdi: matemātiskās programmēšanas nelineāra problēma, ražošanas plāna optimizācija, Lagranža koeficientu metode, racionālie splaini.

year	journal	country	edition	language
2008-01-01

https://dspace.lu.lv/dspace/handle/7/23700

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