Өзіндік тапсырмалар
Тапсырма 1.
Сызықты программалау есебін негізгі түріне келтіру:
min Z=-x1+5x2+2x4-3x5
x1-x2+x4+2x5≤2,
x1+2x2-x3+x5≤3,
2x1-x2+x3+2x4≤6,
-5x1+x2+x5≥8
xj≥0 (j=1,5)
Тапсырма 2.
Сызықты программалау есебін негізгі түріне келтіру:
max Z=-x1+x2-2x3+x4
x1-x2-x3+2x4≤6,
-x1+x2+2x3+x4≥8,
2x1+2x2-x3+3x4≤10,
-3x1+5x2+3x3-x4=15
xj≥0 (j=1,4)
Тапсырма 3.
Сызықты программалау есебін негізгі түріне келтіру:
min Z=x1-x2-2x3
x1-2x2+x3≥4,
-3x1+x2+x3≤9,
2x1+3x2+3x3=10
xj≥0 (j=1,3)
Тапсырма 4.
Сызықты программалау есебін негізгі түріне келтіру:
max Z=-x1+x2+2x3
x1-x2+x3≥2,
5x1+2x2-x3≥10,
2x1-2x2+x3≥7,
xj≥0 (j=1,3)
Тапсырма 5.
Сызықты программалау есебін негізгі түріне келтіру:
max Z=-x1+x2-2x3+x4
2x1-x2-3x3+2x4≤4,
-2x1+4x2+2x3+x4≤8,
2x1+x2-x3+3x4≤15,
xj≥0 (j=1,4)
Бақылау сұрақтары
Сызықты программалау есебінің жалпы түрін анықтаңыз.
Сызықты программалау есебінің негізгі түрін анықтаңыз.
Сызықты программалау есебінің симметриялық түрін анықтаңыз.
Сызықты программалау есебінің математикалық моделі дегеніміз не?
Сызықты программалау есебінің негізгі қойылымы. Негізгі формасының ерекшеліктері неде?
Үш жазу формасының эквиваленттігі неде және осы формаларды бір-біріне аудару әдістерін атап өтіңіз.
Тест тапсырмалары
1.1. Экстремалды есептерді және олардың шешу әдістерін қарастыратын математикалық пән қалай аталады?
А) сызықты программалау;
В) математикалық программалау;
С) сызықты емес программалау;
D) квадраттық программалау;
Е) дөнес программалау.
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1.2. Егер СП есебінде барлық функциялар сызықты болса, математикалық программалаудың тарауы қалай аталады?
А) сызықты программалау;
В) математикалық программалау;
С) сызықты емес программалау;
D) квадраттық программалау;
Е) дөнес программалау.
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1.3. Егер СП есебінде бір ғана функция сызықты емес болса, математикалық программалау тарауы қалай аталады?
А) сызықты программалау;
В) математикалық программалау;
С) сызықты емес программалау;
D) квадраттық программалау;
Е) дөнес программалау.
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1.4. Математикалық программалаудың кең тараған тарауы қалай аталады?
А) сызықты программалау;
В) математикалық программалау;
С) сызықты емес программалау;
D) квадраттық программалау;
Е) дөнес программалау.
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1.5. F=∑cjxj функцияның максималды (минималды) мәнін
∑aijxj≤bi (i=1,k)
∑aijxj=bi (i=k+1,m) xj≥0, (j=1,l, где l≤n), мұнда aij,bi,cj – берілген шамалар, k≤m шарттар орындалған кезде, анықтайтын СП есебі қалай аталады?
А) СП стандартты есебі;
В) СП жалпы есебі;
С) СП негізгі есебі;
D) СП классикалық есебі;
Е) СП тиімді есебі.
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1.6. F=∑cjxj функцияның максималды мәнін келесі шарттар орындалған кезде
∑aijxj=bi (i=1,m) xj≥0, (j=1,n) анықтайтын СП есебі қалай аталады?
А) СП стандартты есебі;
В) СП жалпы есебі;
С) СП негізгі есебі;
D) СП классикалық есебі;
Е) СП тиімді есебі.
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1.7. F=∑cjxj функцияның максималды мәнін келесі шарттар орындалған кезде
∑aijxj≤bi (i=1,m)
xj≥0, (j=1,n) анықтайтын СП есебі қалай аталады?
А) СП стандартты есебі;
В) СП жалпы есебі;
С) СП негізгі есебі;
D) СП классикалық есебі;
Е) СП тиімді есебі.
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1.8. СП есебінің барлық шарттарын қанағаттандыратын, Х=(Х1,Х2,...Хn), сандар жиынтығы қалай аталады?
А) тиімді жоспар;
В) тірек жоспар;
С) мүмкіндік шешім;
D) көп бұрышты шешім;
Е) көп жақты шешім.
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1.9. СП мақсатты функциясы максималды (минималды) мәніне ие болатын жағдайда, Х*=(Х1*,Х2*,...Хn*) жоспар қалай аталады?
А) тиімді жоспар;
В) тірек жоспар;
С) мүмкіндік шешім;
D) көп бұрышты шешім;
Е) көп жақты шешім.
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1.10. СП есебі берілген: F=2Х1-3Х2max (1)
Х1+2Х2≤14
-5Х1+3Х2≤15 (2)
4Х1+6Х2≥24 (3)
Х1,Х2≥0
СП есебінің (2) және (3) функциялары қалай аталады?
А) мақсатты функция;
В) тиімді шешім;
С) есептің шектеулері (шарттары);
D) тірек жоспары;
Е) мүмкіндік шешім.
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Тақырып 1.2. Сызықты программалау есептерін шешу әдістері. Симплекс әдісі.
Негізгі ұғымдар
СП есептерінің шешімін табу үшін бірнеше әдістер қолданылады. Олардың ішінде кең тараған графиктік әдіс және симплекс әдісі.
Графиктік әдіс есептің геометриялық мәнінде негізделген және көбінесе екіөлшемді жазықтық есептерін шешуде қолданылады.
Симплекс әдісі – сызықты программалау есептерінің барлық өлшемді түрлерін есептеуге пайдаланатын әдіс. Егер де СП есебіне айнымалылар саны өтек өп болса, бұл жағдайда компьютерлік программалар арқылы есептің тиімді шешімін табады. Мысалы, Excel көмегімен.
Симплекс әдісі сызықты программалау есептерінің шешімін табу үшін әмбебап әдіс.
Симплекс әдісінің алгоритмы
Есепті негізгі түрге келтіру.
Шектеулер жүйесінің теріс емес базисті шешімін анықтау.
Бос айнымалылардың бағаларын есептеу ∆j=∑cihij-cj, j=1,n, мұнда hij – бос айнымалылардың алдындағы коэффициенттер хj, ci- мақсатты функциядағы базисты айнымалылардың коэффициенттері, cj – мақсатты функциядағы бо айнымалының коэффициенті.
Табылған тірек шешімді тиімділік шартына тексеру:
А) егре барлық бағалар ∆j≥0, онда табылған шешім тиімді және есептің шешімі табылды деп айтуға болады
Б) егер де бір ғана баға ∆j<0, ал сәйкесінше айнымалының коэффициенттерінің ішінде оң сан болмаса, онда есептің тиімді шешімі жоқ деп айтуға болады
В) егер де бір ғана баға ∆j<0, ал сәйкесінше айнымалының коэффициенттерінің ішінде бір ғана оң сан болса, онда табылған шешім тиімді емес, және басқа базисты таңдап, оны жақсартуға болады. Егер де теріс бағалар бірнеше болса, онда базис ретінде бағалардың абсолютті мәні ең жоғары көрсеткіш арқылы айнымалыны таңдаймыз.
1. Ескерту. СПЕ минимумға ұмтылатын жағдайда тиімділік критериі ретінде бағалардың терістігі саналады.
2. Ескерту. СПЕ мақсатты функция максимумы және минимумы жалпы болып саналады.
Есеп 1.
Берілген СП есебін симплекс әдісімен шешу.
F=2,4X1+1,6X2→max
0,8X1+1,6X2+X3=4,8
1,6X1+0,8X2+X4=6,4
X2+X5=2
X1,X2,X3,X4,X5≥0
Шешімі:
Теңдіктер жүйесін векторлық түрде жазамыз.
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) 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) 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) 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) 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)
i=1,3
Х1,Х2,Х3,Х4,Х5 векторлар арасында 3 бірлік векторлар болғандықтан, есептің бастапқы тірек жоспарын жазуға болады.
Хт=(0;0;4,8;6,4;2)
Бастапқы тірек жоспарын тиімділік шарытан тексереміз, ол үшін бірінші симплекс кестені құрастырамыз:
1 кесте
Базис
|
Сб
|
В
|
Х1↓
|
Х2
|
Х3
|
Х4
|
Х5
|
Q
|
2,4
|
1,6
|
0
|
0
|
0
|
Х3
|
0
|
4,8
|
0,8
|
1,6
|
1
|
0
|
0
|
6
|
←Х4
|
0
|
6,4
|
1,6
|
0,8
|
0
|
1
|
0
|
4
|
Х5
|
0
|
2
|
0
|
1
|
0
|
0
|
1
|
-
|
∆j
|
0
|
-2,4
|
-1,6
|
0
|
0
|
0
|
|
Достарыңызбен бөлісу: |