mathematical models

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  • 1. , . . , .

2. - , , , , . 3. , , , . , , . , ( ). 4. (S), (L). b. S = ab, L=2a + 2b. b , (S = ab => max) , (L = 2 + 2b) , (>0,b> 0). 5. , , :S = ab => max, L = 2a + 2b, a>0,b>0. , . = b. , . . 6. , : ; ; , , , , . n = (1,2,n), , . , , . . X, , . 7. , X. , , , , X (). , X, . 8. . X, 9. . , , , . , , (F), , . F - max F - min . 10. () F = (1,2,, xn) , . . F = F(1,2,, xn) . , , = (1,2,, xn) X, F. , F = F (1,2) = (1,2) . F , , : = (1,2) , (, 2), F. ( ), ., , . . 11. , / . , , , , , , (). 12. , : 1,2,, xn, 1,2,, xn , ( ), . . = (1,2,, xn), , , X ( ), , F ( ) . 13. , . , , ( ) , . 14. ( ) : F = F(1,2,, xn) > max(min), = (1,2,, xn ) 1 >0, 2>0, ..., >0. , , ( , , , , . .). 15. : = (1,2,, xn) X, F = F(1,2,, xn) (max) / (min) , . = (1,2,, xn) . 16. F = F(1,2,, xn) > max(min), , , , . , ( ) . , , . 17. , , X, / . , . 18. , , : = (1,2,, xn), n , ( ) F = F(1,2,, xn) -> max(min), , / g1(1,2,, xn){}b1 g2(1,2,, xn){}b2 . gn(1,2,, xn){}bn ( ) xi 0, i = 1,2,...,n. 19. , , . f . 20. = (1,2,, xn) , , , . ( ) , . ., , , . , , , . 21. , , , . , , . 22. : = Q- Q > max, : Q, , . ( Q) . Q < S, Q 0 23. : = Q*f(Q) - Q ->max, .*Q 0. 24. , . , , . , , , . , . R, , L . 25. ( ) Qonm, . . .. 26. (), , , , : , cD ( , . ., D , . ./), , sD/Q (s , . ., D/Q ); , hQ/2 (h , . ./. . * , Q/2 ). : = cD + sD/Q + hQ/2 27. . -> min Qonm 3 Q : Qonm, (EOQ Economic Order Quantity): 28. R, , D R = L. 29. . , . . () , () . , , , . . , . , . 30. : - . , :1. ; 2. ; 3. ; 4. ; 5. . . 31. , , ( ) . , , , . . . 32. : . . , . . , . . , , , , , . 33. , , . , : ' " , ' > ". ( ), ' ~ ". X >. 34. , , : F1 - max(min), F2 - max(min),..., Fm - max(min), = (1,2,, xn) = (1,2,, xn ) X, X F1, F2, Fm , >. = (1,2,, xn ) X, , .