【正文】 。@for(jingdian(i)|ine1:@sum(jingdian(j):r2(i,j))1)。@for(links:@bin(r))。!約束條件:表示01變量約束。@for(links:@bin(r2))。@for(jingdian:@bin(rrv))。@for(links:@bin(rrr))。@sum(jingdian(j):@sum(jingdian(i):r(i,j)))=n。@sum(jingdian(j):@sum(jingdian(i):r2(i,j)))=n2。!@sum(jingdian(j):@sum(jingdian(i):r(i,j)))。!@sum(jingdian(j):@sum(jingdian(i):r(i,j)))n+。!@sum(jingdian(j):@sum(jingdian(i):r2(i,j)))n2+。!約束條件:表示旅游景點的數目為n的約束。!@sum(jingdian(j):@sum(jingdian(i):r2(i,j)))。@for(jingdian(i):@for(jingdian(j)|jgt1andjnei:l(j)=l(i)+r(i,j)(n2)*(1r(i,j))+(n3)*r(j,i)))。@for(jingdian(i):@for(jingdian(j)|jgt1andjnei:l2(j)=l2(i)+r2(i,j)(n22)*(1r2(i,j))+(n23)*r2(j,i)))。@for(jingdian(i)|igt1:l(i)n1(n2)*r(1,i)。l(i)1+(n2)*r(i,1))。!這兩個約束條件：為了控制不出現兩個以上環(huán)形回路，保證有且僅有一條環(huán)形路線。@for(jingdian(i)|igt1:l2(i)n21(n22)*r2(1,i)。l2(i)1+(n22)*r2(i,1))。@for(jingdian(i)|1eqi:v(i)=1。b(i)=0)。!@for(jingdian(k)|1ltkandklen:@for(jingdian(i):@for(jingdian(j):x(k,i,j)=@if(r(i,j)eq1andv(k1)eqi,j,0)))。!v(k)=@sum(jingdian(j):@sum(jingdian(i):x(k,i,j))))。@for(jingdian(k)|1ltkandklen:@for(jingdian(i):@for(jingdian(j):x(k,i,j)=@if(ler(i,j)andr(i,j)leand()lev(k1)andv(k1)le(i+),j,0)))。v(k)=@sum(jingdian(j):@sum(jingdian(i):x(k,i,j))))。@for(jingdian(i)|1eqi:v2(i)=1。b2(i)=0)。!@for(jingdian(k)|1ltkandklen2:@for(jingdian(i):@for(jingdian(j):x2(k,i,j)=@if(r(i,j)eq1andv2(k1)eqi,j,0)))。!v2(k)=@sum(jingdian(j):@sum(jingdian(i):x2(k,i,j))))。@for(jingdian(k)|1ltkandklen2:@for(jingdian(i):@for(jingdian(j):x2(k,i,j)=@if(ler2(i,j)andr2(i,j)leand()lev2(k1)andv2(k1)le(i+),j,0)))。v2(k)=@sum(jingdian(j):@sum(jingdian(i):x2(k,i,j))))。@for(jingdian(i)|2leiandile(n):@for(jingdian(k):@for(jingdian(j):bb(k,i,j)=@if(v(i)eqjandv(i1)eqk,t(k)+tt(k,j),0)))。b(i)=@sum(jingdian(j):@sum(jingdian(k):bb(k,i,j))))。@for(jingdian(k)|klen:tv(k)=@sum(jingdian(i)|ile(k):b(i))/12)。@for(jingdian(i)|2leiandile(n2):@for(jingdian(k):@for(jingdian(j):bb2(k,i,j)=@if(v2(i)eqjandv2(i1)eqk,t(k)+tt(k,j),0)))。b2(i)=@sum(jingdian(j):@sum(jingdian(k):bb2(k,i,j))))。@for(jingdian(k)|kne1andklen2:tv2(k)=@sum(jingdian(i)|ile(k):b2(i))/12+4)。@for(jingdian(k)|keq1orkgtn2:tv2(k)=0)。@for(jingdian(k)|klen2:@for(jingdian(j)|jlen:rrr(j,k)=@if(v(j)eqv2(k)and(tv2(k)tv(j))lt1and(tv(j)tv2(k))lt1,1,0)))。@for(links(j,k)|(jgtnandklen2)or(jlenandkgtn)or(jgtnandkgtn):rrr(j,k)=0)。@for(jingdian(j)|jge2andjlen2:rrv(j)=@sum(jingdian(k):rrr(j,k)))。@for(jingdian(k)|keq1orkgtn2:rrv(k)=0)。End第四問結果（以n=5為例）：Local optimal solution found at iteration: 5831 Objective value: Variable Value Reduced Cost Z N2 N FEIYONG FEIYONG2 V( 1) V( 2) V( 3) V( 4) V( 5) V( 6) V( 7) V( 8) V( 9) V( 10) V( 11) V2( 1) V2( 2) V2( 3) V2( 4) V2( 5) V2( 6) V2( 7) V2( 8) V2( 9) V2( 10) V2( 11) 第五問程序：（以n=5為例）sets:jingdian/1..11/:c,t,w,l,v,b,y,tv。!其中：1,2,...,11分別代表成都、九寨溝、黃龍、樂山、峨嵋、四姑娘山、丹巴、都江堰、青城山、海螺、溝康定；c，t分別表示旅行團在各景點的吃住消費和逗留時間；w表示各景點選擇性權重；l是為了控制不出現兩個以上環(huán)形回路而設的一個變量。gailv/1..10/。links(jingdian,jingdian):r,cc,tt。!其中：r為01變量（0表示兩景點不相連，1表示兩景點相通）；cc為兩景點之間的交通費用；tt為兩景點之間的交通時間。links2(jingdian,gailv):pp,pv。links1(jingdian,jingdian,jingdian):x,bb,ppv。endsetsdata:t=7 24 18 12 36 30 12 9 15 24 17。!其中:t(1)=0,表示在成都的逗留時間為0，因為相對旅行團而言，由于成都既是起點又是終點，并未在成都游玩。c=120 423 300 135 378 390 175 90 148 303 241。!其中：c(1)=0，表示在成都的吃住費用算做，理由同上。w= 0 。tt=0 0 0 0 0 6 0 0 0 0 6 0 0。!其中：主對角線為零,表示各景點到自身交通費用為零。cc=0 128 71 42 52 77 126 20 23 92 99128 0 18 173 182 164 197 133 135 223 23371 18 0 168 177 141 174 115 112 202 20942 173 168 0 13 117 121 60. 64 88 9552 182 177 13 0 126 124 70 73 90 9776 164 141 117 126 0 33 64 61 90 101126 197 174 121 124 33 0 91 93 58 4320 133 115 60 70 64 91 0 5 94 10123 135 112 64 73 61 93 5 0 91 9892 223 202 88 90 90 58 94 91 0 3199 233 209 95 97 101 43 101 98 31 0。!其中：主對角線為零,表示各景點到自身的交通時間為零。n=5。!其中：n表示計劃游玩的景點數目。pp= 01 1 1 0 0 0 1 0 1 0 。enddatamin=0*()/+*(quan 137)/173。!目標函數：表示計劃游玩的景點數目為n時的最小費用。quan=@sum(jingdian(j):@sum(jingdian(i):w(j)*r(i,j)*(cc(i,j)+*(c(i)+c(j)))))。q=@sum(jingdian(j):@sum(jingdian(i):r(i,j)*(cc(i,j)+*(c(i)+c(j)))))。@for(jingdian(i):r(i,i)=0)。!約束條件：表示各景點到自身沒有路線相連的約束條件。@for(jingdian(i)|ige2:@for(jingdian(j)|jge2:r(i,j)+r(j,i)1))。!約束條件：表示除起點（成都）外，若旅行團從景點i到景點j去游玩（即r(i,j)=1），則不會再從景點j到景點i去游玩（即r(j,i)=0），也就是說除起點外每個景點只游玩一次。@sum(jingdian(j):@sum(jingdian(i):r(i,j)*(tt(i,j)+*(t(i)+t(j)))))120。!約束條件