PROGRAMMASOZII DINAMIKI

PROGRAMMASOZII DINAMIKI, fasli matematika meboshad, ki nazariya va tarzi halli masalahoi serzinai idorakunii optimaliro tadqiq mekunad. Baroi idora kardani prosesshoi Programmai dinamiki usulero intikhob mekunand, ki on qimati ekstemali (kalontarin yo khurdtarin)-i funksiyai matlubro ifoda kunad va yagon sifati adadii prosessro sharh dihad. Agar mafhumi «programmasozi» tarzu usuli «intikhobi hal», «banlangiri»-ro fahmonad, kalimai «dinamiki» mohiyati fosilai vaqt va tartibi ijroi amalhoro dar prosessi halli masala ifoda mekunad.

Usulhoi Programmai dinamiki qismi tarkibii usulhoi tadqiqi operatiyaho buda, ham dar halli masalahoi baplangirii optimali va ham dar halli problemahoi gunoguni tekhniki (masalan, hangomi muayyan namudani andozai zinahoi raketahoi serzina, dar masalahoi behtar kashidani loihai rohho va gayraho) istifoda meshavapd. Metodi asosii Programmai dinamiki chunin ast, ki masalahoi guzoshtashudaro ba masalahoi nisbatan soddai ekstremali tabdil medihad. Ba nom prinsipi optimaliero, ki matema­tiki amerikoi R. Belman kashf kardaast.

Hamin tariq, Programmai dinamiki boisi halli in sistemai muodilahoi funksionalii rekurrenti megardad.

Metodhoi Programmai dtnamiki na tanho dar prosesshoi idorashavandai diskreti, balki baroi prosesshoi befosila niz istifoda meshavand (masalan, baroi on masalahoe, ki dar har yak lahzai vaqt halli onhoro yoftan lozim meboyad). Programmai dinamiki usulhoi navi halli masalahoi hisobi variatmioniro ba vujud ovard.

Programmai dinamiki halli masalahoro ba darajai muayyan sodda gardonad ham on tuloni ast. Baroi rafi in norasoi usulhoi navi Programmai dinamiki tadqiq shuda istodaand.

Ad.: B e l  m a n R., Dinamicheskoe programmirovanie, per. s angl, M., I960; Khedli Dj., Nelineynoe i dinamiche­skoe programmirovanie, per. s angl, M., 1067.          G. Haitov, H. Najmiddinov.