管道运输-数学建模

1、1/24 jj ii j i back close b? cumcm2000b g+?$ 2/24 jj ii j i back close kg+?$ ?a1 a2 a15?xu,?+?, x1().?)?+?g+?g ks1,s2, ,s7.olc l vl ?+?(b?+?5kk )?lzc!+?c.il p( km). bo1 km+?g+1 g+. gxjeg+?i)?500 . gsi3su)?tg+?si g +d1 g+pi?xel 3/24 jj ii j i back close i1234567 si800 800 1000 2000 2000 2000 3000 pi1

2、60 155155160155150160 1 g+?c$dxel p(km)300301*350 351*400 401*450451*500 $d(?)2023262932 p(km)501*600 601*700 701*800 801*900 901*1000 $d(?)3744505560 1000 kmzo1100 km$do5?. $1 g+zz0.1?v?z u?zo.g+dc!$ ?/:$ ?:a1,a2, ,a15?+?. 4/24 jj ii j i back close k 1+?g+?$oyo ?o. 2?$oyok=gg+?d? cz?$oyok=gg+? ?cz?

3、$oyo?ka?i(j. 3xj?+?/c! +? ?/) 2u1?.(j. 5/24 jj ii j i back close 1 6/24 jj ii j i back close 2 7/24 jj ii j i back close ?: !?b? 1.?+?kk. 2.3+?zz?1 ?g+. 3.$1 g+zz0.1?v?z u?zo. 4.3oo$?g+? . 5.3og?$oykg?v? vi?=g?. 6.b?g+3c$l1000 km czo1100 km1 g+?$do5?. 8/24 jj ii j i back close ?! si1igi = 1,2, ,7 si

4、1ig?i = 1,2, ,7 ajx+?+?1j:j = 1,2, ,15 pi1ig1 g+?di = 1,2, ,7 xijgsi:aj$?g+i = 1, ,7, j = 1, ,15 yj:aj ?g+ zj:aj m?g+ cij1 g+lgsi$?(:aj?o =$ c$g+di = 1,2, ,7, j = 1,2, ,15 bj:aj?c?:j = 2,3, ,15 dj?:ajaj+1m?lj = 1,2, ,14 9/24 jj ii j i back close n!?.?) k?xn?+?g+?$yo? dkg+lgsi?$(:aj?cij) g+?dg+?c$g+?

5、$.3 cij?g+?$?1?k? zy. 1.g+lgsi$?$:aj?cij 11=x? g+?$?d?. dug+lgsi$?$:ajlc$ ?c$?$olk.qdug si?ckgsi?c? :bj?.x3. 10/24 jj ii j i back close 3c? g+?c$dl gsi?c?:bj ?c$r?dlgsi?bj? 11/24 jj ii j i back close .2bj?!$:aj9?+ ?v? g+3?$ d5?z?$rd?da ?.s1?4. 4g+lgs1$?$:aj?c$? 12/24 jj ii j i back close 2o g+ls1?aj

6、?$ 4/? g+ ls1?aj?$g 170.7, 160.3, 140.2, 98.6, 38, 20.5, 3.1, 21.2, 64.2, 92, 96, 106, 121.2, 128, 142 ( ?) g+?dpi,?lgs1? g+$?: aj?c1jg 330.3, 320.3, 300.2, 258.6, 198, 180.5, 163.1, 181.2, 224.2, 252, 256, 266, 281.2, 288, 302 ( ?) n,?gs2,s3,s4,s5,s6,s7?:aj? ?cij(i = 2, ,7),l?g?:?o ? 13/24 jj ii j

7、i back close cija2a3a4a5a6a7a8a9a10a11a12a13a14a15 s1320.3300.2258.6198180.5163.1181.2224.2252256266281.2288302 s2360.3345.2326.6266250.5241226.2269.2297301311326.2333347 s3375.3355.2336.6276260.5251241.2203.2237241251266.2273287 s4410.3395.2376.6316300.5291276.2244.2222211221236.2243257 s5400.3380.

8、2361.6301285.5276266.2234.2212188206226.2228242 s6405.3385.2366.6306290.5281271.2234.2212201195176.2161178 s7425.3405.2386.6326310.5301291.2259.2236226216198.2186162 5lg$ :a4?l:a5. 3?+?x?l/?=+?$?aj ?3?$v?pu?po ?+?z?1p?e1 g+,dl, :ajm?yd$a 0.1 (1 + 2 + + y) = 0.1 y(y + 1) 2 = y(y + 1) 20 . l:ajm?zjl:a

9、j+1?yj+13?y 14/24 jj ii j i back close ?cje: :?o?)? ?k k?(lgsi:aj$g+?xij, 9l:aj!m?pkmo? no f = 7 x i=1 15 x j=1 cijxij+ 1 20 15 x j=2 (yj+ y2 j + zj+ z2 j), z15= 0. ?xe 1gsij?g+ol?si= 15 x j=1 xij si,i = 1,2, ,7. 15/24 jj ii j i back close 2,gekk?500 = 15 x j=1 xij= 0 15 x j=1 xij 500,i = 1,2, ,7. 3

10、3ajaj+1m?u?y = zj+ yj+1= dj,j = 2,3, ,14. 4g$?aj?g+oajm?g+ ?= yj+ zj= 7 x i=1 xij,j = 2,3, ,15. 5k?ck 16/24 jj ii j i back close dk?.xe min f = 7 p i=1 15 p j=1 cijxij+ 1 20 15 p j=2(y j+ y2 j + zj+ z2 j) s.t. 15 p j=1 xij si, i = 1,2, ,7, 15 p j=1 xij= 0 15 p j=1 xij 500, i = 1,2, ,7, zj+ yj+1= dj,

11、j = 2,3, ,14, yj+ zj= 7 p i=1 xij, j = 2,3, ,15, xij 0,yj 0,zj 0, i = 1, ,7,j = 2, ,15 y2= 104, z15= 0. (1) 17/24 jj ii j i back close ?.?) z?.?8i?g. ?t?.?g5y )?g5y?o?jo ?)matlab z)lingo)j? lingosxe model: sets: gh/s1.s7/:si; !t8l7g5silg?u; zd/a2,a3,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15/:hm,yj,zj,d

12、j; !8zdl:,?5?:o15,?:a17lla2 u$,:a4?7lla5,?co 18/24 jj ii j i back close :?8zdyk13?,o a2,a3,a5, ,a15.48zdk?5,hm“l :?,yjzjo“lm?g+dj“ lajaj+1?p; yl(gh,zd):c,x; !)8ylk7 13 = 91?,ylk?5: cx,?uk91?, c?,=? .?cij, xc,=?.?xij; endsets data: si=800 800 1000 2000 2000 2000 3000; hm=2 3 5 6 7 8 9 10 11 12 13 14

13、15; dj=301 1356 194 205 201 680 480 300 220 210 420 500 0; 19/24 jj ii j i back close c= 320.3 300.2 198 180.5 163.1 181.2 224.2 252 256 266 281.2 288 302 360.3 345.2 266 250.5 241 226.2 269.2 297 301 311 326.2 333 347 375.3 355.2 276 260.5 251 241.2 203.2 237 241 251 266.2 273 287 410.3 395.2 316 3

14、00.5 291 276.2 244.2 222 211 221 236.2 243 257 400.3 380.2 301 285.5 276 266.2 234.2 212 188 206 226.2 228 242 405.3 385.2 306 290.5 281 271.2 234.2 212 201 195 176.2 161 178 425.3 405.2 326 310.5 301 291.2 259.2 236 226 216 198.2 186 162; enddata min=sum(yl(i,j):c(i,j)*x(i,j) +0.05*sum(zd:yj+yj*yj+

15、zj+zj*zj); !8i; for(gh(i):sum(zd(j):x(i,j)=si(i); !g?)?u?; 20/24 jj ii j i back close sum(zd(j):x(7,j)=0; !ts7?,?s7?g+(ds6a ?),es7g+,330,?k,7l? 500,(jo?c; for(zd(j):sum(gh(i):x(i,j)=yj(j)+zj(j); !=?yj+ zj= p7 i=1 xij,j = 2,.,15; for(zd(j)|hm(j)#lt#15:zj(j)+yj(j+1)=dj(j); !=?zj+yj+1= dj,j = 2,.,14,nh

16、m(j)#lt#15? :?j 15,i?zj+ yj+1= dj; yj(1)=104; zj(13)=0; for(yl:gin(x);for(zhd:gin(yj);for(zd:gin(zj); !?.c?; end 21/24 jj ii j i back close l$1ts?)o1278632?g+ ?$oy9m?yel l1g+?$oy9m?y a2a3a5a6a7a8a9a10a11a12a13a14a15o s1334201265800 s2179321300800 s3512856641000 s54571432174151232 s613486333621165142

17、5 o179508108320126530066435141586333621165 $104226107418518912550532127075199286165 m$752829167617515930145111343350 k?d?( 3?1(?.?s7uzka?3 s7?2? 1.d?( 22/24 jj ii j i back close s5s6?g+?d?czo ?k7,?a10:?e dka10,?g+d? l?o?, g g+?doo?ez?2g lingo)?.?o?czxl2 l2 g+?dcz,o?uc? z dz dz dz d g1?,o4?,o1?,o4?,o ,? s180032008003200 s280032008003200 s31000400010004000 s51007394013695504 s61202382915646344 s7000971 23/24 jj ii j i back close lo(j?e( 1d?s6o?k 2ed?,x,1?/ ks6o ?k 3ed,?x,4?/ ks3 o?ks5s5o?ks6?s5 s6