Дәріс №5. Сызықтық программалау.
Сұрақтар:
1. Сызықтық программалаудың тапсырмаларын орнату
2. Сызықтық программалау тапсырмаларын шешудің графиктік әдістері
Сызықтық программалаудың тапсырмаларын орнату
Анықтама. Сызықтық прграммалаудың жалпы есебі деп, функцияның анықтауыш максималды (минималды) көрсеткішінен тұратын есепті айтамыз.
![](data:image/png;base64,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) (1)
ш а р т т а р ы
(2)
(3)
, (4)
мұндағы, aij, bi, cj – нақты сандар және k m.
Анықтама. Сызықтық программалаудың жалпы есебінде (1) функция (1)-(4) есептерінің мақсаттық функциясы, ал (2)-(4) берілген есептің шарттары деп аталады.
Достарыңызбен бөлісу: |