¼û±¾ÕÂÁ·Ï°Ìâ 3¡¢±¾ÕµäÐÍÀýÌâ·ÖÎö
Àý£ºÐ´³öÏÂÁÐÏßÐԹ滮ÎÊÌâµÄ¶ÔżÎÊÌâ
maxZ?3x1?x2?4x3?6x1?3x2?5x3?25 ?S?t??3x1?4x2?5x3?20?x?0(j?1,2,3)?j
½â£ºÆä¶ÔżÎÊÌâΪ£º
minW?25y1?20y2?6y1?3y2?3?3y?4y?1 ?12S?t???5y1?5y2?4??y1,y2?04¡¢±¾ÕÂ×÷Òµ
¼û±¾ÕÂÁ·Ï°Ìâ
µÚÎåÕ ÔËÊäÄ£ÐÍ
1¡¢±¾ÕÂѧϰҪÇó
£¨1£©Ó¦ÊìϤµÄÄÚÈÝ ÔËÊäÎÊÌâµÄÊýѧģÐÍ¡£ £¨2£©Ó¦ÕÆÎÕµÄÄÚÈÝ
¸ù¾Ýʵ¼ÊÎÊÌâÄÜд³öÔËÊäÎÊÌâµÄÊýѧģÐÍ¡£ £¨3£©Ó¦ÊìÁ·ÕÆÎÕµÄÄÚÈÝ
È·¶¨³õʼ·½°¸µÄ·½·¨£º×îÐ¡ÔªËØ·¨¡¢ÔªËزî¶î·¨¡£ 2¡¢±¾ÕÂÖØµãÄѵã·ÖÎö
ÏÈÈ·¶¨³õʼ·½°¸£¬È»ºó½øÐмìÑéÊÇ·ñÊÇ×îÓŽ⣬Èç¹û²»ÊÇ×îÓŽ⣬Ôò½øÐе÷Õû¸Ä½ø£¬×îÖյõ½×îÓŽ⡣¡£ 3¡¢±¾ÕµäÐÍÀýÌâ·ÖÎö
Àý£ºÓÃ×îÐ¡ÔªËØ·¨Çó½â£¨±íÉÏ×÷Òµ·¨£© £¨µ¥Î»£º¶Ö£© ÏúµØ 1 2 3 4 5 ²úµØ 1 250 350 2 300 100 3 200 200 100 ÏúÁ¿ 200 250 300 550 200 £¨µ¥Î»£ºÔª£©
²úÁ¿ 600 400 500 1500 ÏúµØ ²úµØ 1 2 3 1 2 4 2 2 1 2 1 3 3 1 1 4 1 3 3 5 2 1 4 ¢Ý
¢Û ¢Ü ¢Ù ¢Ú ¢Þ ¡àÔËÊä·ÑÓÃΪ£º1¡Á250+1¡Á350+1¡Á300+1¡Á100+2¡Á200+3¡Á200+4¡Á100=2400(Ôª£©¡£ 4¡¢±¾ÕÂ×÷Òµ
¼û±¾ÕÂÁ·Ï°Ìâ
µÚÁùÕÂ ÍøÂç·ÖÎö
Àý£ºÓÃÆÆÈ¦·¨ÇóÒ»¸ö×îСÉú³ÉÊ÷ V1
V3 V2 1 3 10 3 4 V6 3 4 V7 5 2 7 3 V4 8 V6 V1 3 3 4 V7 5 4 V5 2 V2 1 7 V3 V4 8 V5 V2 V3 V2 1 3 V1 3 V7 3 V2 1 V6 V1 3 3 V7 4 3 V3 1 7 3
V1 3 4 2 3 V4 V7 5
V2 V3 1 V6 4 V5 7 3 V1 3 2 VV4 7 3
V6 V5
¡à×ÜȨÊýΪ£º3+3+3+1+2+7=19 4¡¢±¾ÕÂ×÷Òµ
3¡¢±¾ÕµäÐÍÀýÌâ·ÖÎö
Àý£º ×ÔȻ״̬ ¸ÅÂÊ N1(ÐèÇóÁ¿´ó) ÊÕÒæÖµ Ðж¯·½°¸ 7 2 V3 V5 V4 7 2 V4 V6 V5 N2(ÐèÇóÁ¿Ð¡) E£¨Si£© P(N1)=0.3 S1£¨´óÅúÁ¿Éú²ú) S2£¨ÖÐÅúÁ¿Éú²ú£© S3£¨Ð¡ÅúÁ¿Éú²ú£© 30 20 10 P(N2)=0.7 -6 -2 5 4.8 4.6 6.5 ¡÷30 ¡÷-6 ¡÷20 ¡÷-2 ¡÷10 ¡÷5 S1 ´óÅúÁ¿Éú²ú ÖÐÅúÁ¿Éú²ú S2 ¾ö²ß S3 СÅúÁ¿Éú²ú E£¨S1£©=0.3¡Á30+0.7¡Á(-6)=4.8 E£¨S2£©=0.3¡Á20+0.7¡Á(-2)=4.6 E£¨S3£©=0.3¡Á10+0.7¡Á5=6.5 ¡àÑ¡¶¨·½°¸S3
¶þ¡¢¼ÆËãÌâ
1¡¢ÊÔ½¨Á¢ÏÂÁÐÎÊÌâµÄÊýѧģÐÍ
N1(ÐèÇóÁ¿´ó) P(N1)=0.3 N2(ÐèÇóÁ¿Ð¡) P(N2)=0.7 N1(ÐèÇóÁ¿´ó) P(N1)=0.3 N2(ÐèÇóÁ¿Ð¡) P(N2)=0.7 N1(ÐèÇóÁ¿´ó) P(N1)=0.3 N2(ÐèÇóÁ¿Ð¡) P(N2)=0.7 £¨1£©Ä³Å©³¡ÒªÐÂÂòÒ»ÅúÍÏÀ»úÒÔÍê³ÉÿÄêÈý¼¾µÄ¹¤×÷Á¿£º´ºÖÖ330¹«Ç꣬ÏĹÜ130¹«Ç꣬ÇïÊÕ470¹«Çê¡£¿É¹©Ñ¡ÔñµÄÍÏÀ»úÐͺš¢µ¥Ì¨Í¶×ʶ¹¤×÷ÄÜÁ¦ÈçϱíËùʾ¡£ ÍÏÀ»ú µ¥Ì¨Í¶µ¥Ì¨¹¤×÷ÄÜÁ¦£¨¹«Ç꣩ ÐͺŠ×Ê £¨Ôª£© ´ºÖÖ ÏÄ¹Ü ÇïÊÕ A 5000 30 17 41 B 4500 29 14 43 C 4400 32 16 42 D 5200 31 18 44 ÎÊÅ乺Äļ¸ÖÖÍÏÀ»ú¸÷¼¸Ì¨£¬²ÅÄÜÍê³ÉÉÏÊöÿÄ깤×÷Á¿ÇÒʹ×ÜͶ×Ê×îÉÙ£¿ £¨2£©¼×¡¢ÒÒÁ½Ãº¿ó¹©¸øA¡¢B¡¢CÈý¸ö³ÇÊеÄÓÃú¡£¸÷¿ó²úÁ¿ºÍ¸÷ÊÐÐèÇóÁ¿ÈçϱíËùʾ ú¿ó ÈÕ²úÁ¿£¨¶Ö£© ³ÇÊÐ ÐèÇóÁ¿£¨¶Ö£© ¼× 200 A 100 B 150 ÒÒ 250 C 200 ¸÷¿óÓë¸÷ÊÐÖ®¼äµÄÔËÊä¼Û¸ñÈçϱíʾ ³ÇÊÐ Ô˼ۣ¨Ôª/¶Ö£© ú¿ó A B C ¼× 90 70 100 ÒÒ 80 65 80 ÎÊ£ºÓ¦ÈçºÎµ÷ÔË£¬²ÅÄܼÈÂú×ã³ÇÊÐÓÃúÐèÇó£¬ÓÖʹÔËÊäµÄ×Ü·ÑÓÃΪ×îÉÙ£¿ 2¡¢½«ÏÂÊöÏßÐԹ滮ÎÊÌ⻯³É±ê×¼ÐÍ £¨1£© minZ?x1?2x2?3x3
x1?2x2?x3?52x1?3x2?x3?6?x1?x2?x3??2x1?0,x3?0 s.t.
£¨2£© minZ?x1?2x2?3x3
s.t. ?2x1?x2?x3?9?3x1?x2?2x3?43x1?2x2?3x3??6x1?0,x2?0,x3ȡֵÎÞÔ¼Êø
3¡¢Í¼½â·¨Çó½âÏÂÁÐÏßÐԹ滮ÎÊÌ⣺