04线性规划【更多福利关注微信公众号：玉米资料库】.pdf

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40,i=1,2III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?0.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi76 10.2,i=1,2AO?0.487xi5+0.520 xi6+0.64xi76 3.027i=1,28Imaxz=2Xi=10.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi7III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?0.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi76 10.2,i=1,2AO?0.487xi5+0.520 xi6+0.64xi76 3.027i=1,28Imaxz=2Xi=10.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi7III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?0.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi76 10.2,i=1,2AO?0.487xi5+0.520 xi6+0.64xi76 3.027i=1,28Imaxz=2Xi=10.487xi1+0.520 xi2+0.613xi3+0.720 xi4+0.487xi5+0.520 xi6+0.640 xi7III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?K)?C1flKIII?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy 5)?flK,?mko?I?yfi?o?L?o?z?)?LXe?12341571032368434362414210bz?U?F?o?)?pAX?”III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?4?-xij=?1,?1 i?1 j?0KK8Iz=5x11+7x12+10 x13+3x14+3x21+6x22+8x23+4x24+4x31+3x32+6x33+2x34+x41+4x42+2x43+10 x44 maxIII?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyy?4?-xij=?1,?1 i?1 j?0KK8Iz=5x11+7x12+10 x13+3x14+3x21+6x22+8x23+4x24+4x31+3x32+6x33+2x34+x41+4x42+2x43+10 x44 maxIII?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyyz?4Xj=1xij=1i=1,2,3,4z?k?4Xi=1xij=1j=1,2,3,4III?EEE?555555yyy?.?555yyy?.?.?555555yyyflflflKKK)?555yyy0-1555yyyz?4Xj=1xij=1i=1,2,3,4z?k?4Xi=1xij=1j=1,2,3,4III?EEE?555555yyy?.?555yyy?.?5y?.?5y)?L?z?flK?flK?eZ?z?I?K?e?3?X?Z?JLe?;.fX?5y?.III?EEE?555555yyy?.?555yyy?.?5y?.?5y)?L?z?flK?flK?eZ?z?I?K?e?3?X?Z?JLe?;.fX?5y?.III?EEE?555555yyy?.?555yyy?.1?flKAB1B2C1C2C3C4D1D2D3E5313687668353384322III?EEE?555555yyy?.?555yyy?.k?A?VgG?z?:?d?G?C?,?G?Jxk1 k?G?G?C?uk(xk)l xk?u?C?Dk(xk)1 k?k#N?8?G?=?xk+1=Tk(xk,uk(xk)dk(xk,uk)lG?xk?u?uk=?G?xk+1?fk(xk)lG?xk?u?“:?III?EEE?555555yyy?.?555yyy?.k?A?VgG?z?:?d?G?C?,?G?Jxk1 k?G?G?C?uk(xk)l xk?u?C?Dk(xk)1 k?k#N?8?G?=?xk+1=Tk(xk,uk(xk)dk(xk,uk)lG?xk?u?uk=?G?xk+1?fk(xk)lG?xk?u?“:?III?EEE?555555yyy?.?555yyy?.?flK?5y?z?nb?LG?xko?l xk?“:?l xk?u?“:?k?III?EEE?555555yyy?.?555yyy?.?flK?5y?z?nb?LG?xko?l xk?“:?l xk?u?“:?k?III?EEE?555555yyy?.?555yyy?._S?l?c?:?“:?Z?d?:?“:?flK?5y?.8B?e4?“?(f5(x5)=0fk(xk)=minukdk(xk,uk(xk)+fk+1(uk(xk),k=4,3,2,1III?EEE?555555yyy?.?555yyy?._S?l?c?:?“:?Z?d?:?“:?flK?5y?.8B?e4?“?(f5(x5)=0fk(xk)=minukdk(xk,uk(xk)+fk+1(uk(xk),k=4,3,2,1III?EEE?555555yyy?.?555yyy?.?l?mk=4f4(D1)=3,f4(D2)=2,f4(D3)=2?k=3k 4?G?Ci i=1,2,3,4.O?G?u?“:?f3(Ci)?f3(C1)=min?d(C1,D1)+f4(D1)d(C1,D2)+f4(D2)?=min?6+38+2?=9u3(C1)=D1?C1 D1 EIII?EEE?555555yyy?.?555yyy?.?l?mk=4f4(D1)=3,f4(D2)=2,f4(D3)=2?k=3k 4?G?Ci i=1,2,3,4.O?G?u?“:?f3(Ci)?f3(C1)=min?d(C1,D1)+f4(D1)d(C1,D2)+f4(D2)min?6+38+2?=9u3(C1)=D1?C1 D1 EIII?EEE?555555yyy?.?555yyy?.f3(C2)=min?d(C2,D1)+f4(D1)d(C2,D2)+f4(D2)?=min?3+35+2?=6u3(C2)=D1?C2 D1 Ef3(C3)=min?d(C3,D2)+f4(D2)d(C3,D3)+f4(D3)?=min?3+23+2?=5u3(C3)=D2D3?C3 D2D3 EIII?EEE?555555yyy?.?555yyy?.f3(C4)=min?d(C4,D2)+f4(D2)d(C4,D3)+f4(D3)?=min?8+24+2?=6u3(C4)D3?C4 D3 EIII?EEE?555555yyy?.?555yyy?.?k=2?k?G?z?G?k3?f2(B1)=mind(B1,C1)+f3(C1)d(B1,C2)+f3(C2)d(B1,C3)+f3(C3)=min1+93+66+5=9u2(B1)=C2?B1 C2 D1 EIII?EEE?555555yyy?.?555yyy?.f2(B2)=mind(B2,C2)+f3(C2)d(B2,C3)+f3(C3)d(B2,C4)+f3(C4)=min8+67+56+6=12u2(B2)=C3C4?B2 C3 D2D3 E?B2 C4 D3 EIII?EEE?555555yyy?.?555yyy?.?k=1?f1(A)=min?d(A,B1)+f2(B1)d(A,B2)+f2(B2)?=min?5+93+12?=14u1(A)=B1?A B1 C2 D1 E?14III?EEE?555555yyy?.?555yyy?.Bellman?5y?z?n?L?A?k5?L?G?X?cG?e?7L?III?EEE?555555yyy?.?555yyy?.Bellman?5y?z?n?L?A?k5?L?G?X?cG?e?7L?III?EEE?555555yyy?.?555yyy?.2w?5y?)?5yflK?f 2?C1flK?1?20?k?kn?$?9d?L?FT?gC1?d?AX?C1”?d?134245356III?EEE?555555yyy?.?555yyy?.2w?5y?)?5yflK?f 2?C1flK?1?20?k?kn?$?9d?L?FT?gC1?d?AX?C1”?d?134245356III?EEE?555555yyy?.?555yyy?.?n?C1?O?x1,x2,x3?5y?.?maxG=4x1+5x2+6x3s.t.3x1+4x2+5x3 20 x1,x2,x3?.III?EEE?555555yyy?.?555yyy?.?n?C1?O?x1,x2,x3?5y?.?maxG=4x1+5x2+6x3s.t.3x1+4x2+5x3 20 x1,x2,x3?III?EEE?555555yyy?.?555yyy?.A?5y?)?-G1=4x1 3x1 G2=4x1+5x2,3x1+4x2 G3=4x1+5x2+6x33x1+4x2+5x3?gk()=maxxkGk()K?g3(20)III?EEE?555555yyy?.?555yyy?.A?5y?)?-G1=4x1 3x1 G2=4x1+5x2,3x1+4x2 G3=4x1+5x2+6x33x1+4x2+5x3?gk()=maxxkGk()K?g3(20)III?EEE?555555yyy?.?555yyy?.k=3?e x3?Kd?C$?d?6x3+g2(20 5x3)?g3(20)=max0 x3620/56x3+g2(20 5x3)=max0+g2(20),6+g2(15),12+g2(10),18+g2(5),24+g2(0)III?EEE?555555yyy?.?555yyy?.k=2?3 x3fi(?ee x2?Kd?C$?d?5x2+g1(4x2)?g2(0)=0g2(5)=max0 x25/45x2+g1(5 4x2)=max0+g1(5)4,5+g1(1)5III?EEE?555555yyy?.?555yyy?.g2(10)=max0 x210/45x2+g1(10 4x2)=max0+g1(10)12,5+g1(6)13,10+g1(2)10g2(15)=max0g1(15)20,5+g1(11)17,10+g1(7)18,15+g1(3)19g2(20)=max0+g1(20)24,5+g1(16)25,10+g1(12)26,15+g1(8)23,20+g1(4)21,25+g1(0)25III?EEE?555555yyy?.?555yyy?.k=1?g1()=max0 x1/34x1=43=0,1,2,20g1()x1()g1()x1()0-20012-141643-54115-172056-88218-202469-11123III?EEE?555555yyy?.?555yyy?.l?kg2()x2()551101311520020262III?EEE?555555yyy?.?555yyy?.g3(20)=max0+2626,6+2026,12+1325,18+523,2424=26x3=01?)?x1=4x2=2x3=0 x1=5x2=0 x3=1?C1d?G=26III?EEE?