Егер , ол нүктеде Хк - минимум.
Практикалық есептерді шешкендегі тиімділік тек қана R(ХК) функциясының min және max табу ғана емес, ал осы функцияның ең кіші және ең үлкен мәнін табу, глобалды экстремум деп аталады. ( Сурет 6.4)
6.4-сурет
R(Х) функциялары жалпы жағдайда тиімдеу мақсаты экстремумды іздеу болып табылады, жалпы жағдайда осы немесе басқа шектеулер математикалық модель көлемінде болады.
Осы жағдайда, егер R(Х) сызықты болып келсе, ал мүмкін шешімдердің облысы сызықтық теңдіктермен және теңсіздіктермен берілсе, онда экстремумды табу есебі сызықты программалау есептерінің класына жатады.
Жалпы Х функциясының функциялар жүйесі
Дәл осылай сол уақытта ұзындық бағдарламалау мақсат математикалық орнатып қою жазуы көрінеді: 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)
Осы жағдайда, егер немесе мақсаттық функциясы ( Х ) немесе қандай болмасын шек қоюлардан ұзындық функциямен келмейді, анау функция экстремум іздеп табу мақсаты ( Х ) мақсаттардың - бағдарламалау сыныбына жатады.
Егер Х пен өзгергіштерді ешқандай шек қоюларды салынған емес, онда сондай мақсат сөзсіз экстремумге мақсатпен аталады.
Достарыңызбен бөлісу: |