| model: !n个货车8收点运输问题; sets: place/place1..place10/:time1,time2,timexie; car/car1..car3/:time; jiu/1..9/; er/1..2/; lc(car,jiu):lucheng,ct; plan(place,place,car):a; distance(place,place):dd,dt,which; endsets !这里是数据; data: s=1; time1=-10 1 4 1 4 3.5 2 5 1.5 1; time2=7 4 6 2 7 5 5 8 4 10 ; timexie=0 1 2 1 3 2 2.5 3 0.8 0; dd= 0 40 60 75 90 90 100 135 80 0 40 0 65 40 100 50 75 110 100 40 60 65 0 75 100 100 75 75 75 60 75 40 75 0 100 50 90 90 125 75 90 100 100 100 0 100 75 75 100 90 90 50 100 50 100 0 70 90 75 90 100 75 75 90 75 70 0 70 100 100 135 110 75 90 75 90 70 0 100 135 80 100 75 125 100 75 100 100 0 80 0 40 60 75 90 90 100 135 80 0 ; dt= 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0 0.8000 0 1.3000 0.8000 2.0000 1.0000 1.5000 2.2000 2.0000 0.8000 1.2000 1.3000 0 1.5000 2.0000 2.0000 1.5000 1.5000 1.5000 1.2000 1.5000 0.8000 1.5000 0 2.0000 1.0000 1.8000 1.8000 2.5000 1.5000 1.8000 2.0000 2.0000 2.0000 0 2.0000 1.5000 1.5000 2.0000 1.8000 1.8000 1.0000 2.0000 1.0000 2.0000 0 1.4000 1.8000 1.5000 1.8000 2.0000 1.5000 1.5000 1.8000 1.5000 1.4000 0 1.4000 2.0000 2.0000 2.7000 2.2000 1.5000 1.8000 1.5000 1.8000 1.4000 0 2.0000 2.7000 1.6000 2.0000 1.5000 2.5000 2.0000 1.5000 2.0000 2.0000 0 1.6000 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0; enddata !目标函数; min=@sum(lc(I,J): lucheng(I,J)); !整数约束; @for(plan bin(a));@for(car(I) free(time(I)) ;!从零点开始最终回来; @for(car(I): a(1,1,I)=1;a(10,10,I)=1); !每个任务只能有一个; @sum(car(I): @sum(place(K): @sum(place(J): a(J,K,I))))=1; !每个车的任务最多有四个; @for(car(I): @sum(plan(J,K,I):a(J,k,I))<=6 ); !前一辆车任务大于等于后一辆车; @for(car(I)|I#lt#3: @sum(plan:a(J,K,I))>=@sum(plan:a(J,K,I+1) ); !求which 例子 若a(1,:)=[1 0 0 1 0 1 0 0 0 1]; ! 则 which(1,:)=[1 1 1 4 4 6 6 6 6 10] ; @for(car(I): @for(place(K)|@sum(place(J):a(K,J,I)) #eq#1: @for(place(J)|a(K,J,I) #eq#1: which(I,K)=J );); @for(place(K)|@sum(place(J):a(K,J,I)) #ne#1: which(I,K)=which(I,K-1)); !时间限制; @for(car(J): time(J)>=-10;time(J)<=7); @for(jiu(J): ct(I,J)=@if(which(I,J)#ne#which(I,J+1),dt(which(I,J),which(I,J+1))+timexie(which(I,J)),0)); @for(jiu(J): time(I)+ct(I,J)>=time1(J+1);time(I)+ct(I,J)<=time2(J+1)); !求每辆车行驶的距离; @for(jiu(J): lucheng(I,J)=@if(which(I,J)#ne#which(I,J+1),dd(which(I,J),which(I,J+1)),0) ); ); end |
| model: !n个货车8收点运输问题; sets: place/place1..place10/:time1,time2,timexie; car/car1..car3/:time; jiu/1..9/; er/1..2/; lc(car,jiu):lucheng,ct; plan(place,place,car):a; distance(place,place):dd,dt,which; endsets !这里是数据; data: s=1; time1=-10 1 4 1 4 3.5 2 5 1.5 1; time2=7 4 6 2 7 5 5 8 4 10 ; timexie=0 1 2 1 3 2 2.5 3 0.8 0; dd= 0 40 60 75 90 90 100 135 80 0 40 0 65 40 100 50 75 110 100 40 60 65 0 75 100 100 75 75 75 60 75 40 75 0 100 50 90 90 125 75 90 100 100 100 0 100 75 75 100 90 90 50 100 50 100 0 70 90 75 90 100 75 75 90 75 70 0 70 100 100 135 110 75 90 75 90 70 0 100 135 80 100 75 125 100 75 100 100 0 80 0 40 60 75 90 90 100 135 80 0 ; dt= 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0 0.8000 0 1.3000 0.8000 2.0000 1.0000 1.5000 2.2000 2.0000 0.8000 1.2000 1.3000 0 1.5000 2.0000 2.0000 1.5000 1.5000 1.5000 1.2000 1.5000 0.8000 1.5000 0 2.0000 1.0000 1.8000 1.8000 2.5000 1.5000 1.8000 2.0000 2.0000 2.0000 0 2.0000 1.5000 1.5000 2.0000 1.8000 1.8000 1.0000 2.0000 1.0000 2.0000 0 1.4000 1.8000 1.5000 1.8000 2.0000 1.5000 1.5000 1.8000 1.5000 1.4000 0 1.4000 2.0000 2.0000 2.7000 2.2000 1.5000 1.8000 1.5000 1.8000 1.4000 0 2.0000 2.7000 1.6000 2.0000 1.5000 2.5000 2.0000 1.5000 2.0000 2.0000 0 1.6000 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0; enddata !目标函数; min=@sum(lc(I,J): lucheng(I,J)); !整数约束; @for(plan bin(a));@for(car(I) free(time(I)) ;!从零点开始最终回来; @for(car(I): a(1,1,I)=1;a(10,10,I)=1); !每个任务只能有一个; @sum(car(I): @sum(place(K): @sum(place(J): a(J,K,I))))=1; !每个车的任务最多有四个; @for(car(I): @sum(plan(J,K,I):a(J,k,I))<=6 ); !前一辆车任务大于等于后一辆车; @for(car(I)|I#lt#3: @sum(plan:a(J,K,I))>=@sum(plan:a(J,K,I+1) ); !求which 例子 若a(1,:)=[1 0 0 1 0 1 0 0 0 1]; ! 则 which(1,:)=[1 1 1 4 4 6 6 6 6 10] ; @for(car(I): @for(place(K)|@sum(place(J):a(K,J,I)) #eq#1: @for(place(J)|a(K,J,I) #eq#1: which(I,K)=J );); @for(place(K)|@sum(place(J):a(K,J,I)) #ne#1: which(I,K)=which(I,K-1)); !时间限制; @for(car(J): time(J)>=-10;time(J)<=7); @for(jiu(J): ct(I,J)=@if(which(I,J)#ne#which(I,J+1),dt(which(I,J),which(I,J+1))+timexie(which(I,J)),0)); @for(jiu(J): time(I)+ct(I,J)>=time1(J+1);time(I)+ct(I,J)<=time2(J+1)); !求每辆车行驶的距离; @for(jiu(J): lucheng(I,J)=@if(which(I,J)#ne#which(I,J+1),dd(which(I,J),which(I,J+1)),0) ); ); end |
| model: !n个货车8收点运输问题; sets: place/place1..place10/:time1,time2,timexie; car/car1..car3/:time; jiu/1..9/; er/1..2/; lc(car,jiu):lucheng,ct; plan(place,place,car):a; distance(place,place):dd,dt,which; endsets !这里是数据; data: s=1; time1=-10 1 4 1 4 3.5 2 5 1.5 1; time2=7 4 6 2 7 5 5 8 4 10 ; timexie=0 1 2 1 3 2 2.5 3 0.8 0; dd= 0 40 60 75 90 90 100 135 80 0 40 0 65 40 100 50 75 110 100 40 60 65 0 75 100 100 75 75 75 60 75 40 75 0 100 50 90 90 125 75 90 100 100 100 0 100 75 75 100 90 90 50 100 50 100 0 70 90 75 90 100 75 75 90 75 70 0 70 100 100 135 110 75 90 75 90 70 0 100 135 80 100 75 125 100 75 100 100 0 80 0 40 60 75 90 90 100 135 80 0 ; dt= 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0 0.8000 0 1.3000 0.8000 2.0000 1.0000 1.5000 2.2000 2.0000 0.8000 1.2000 1.3000 0 1.5000 2.0000 2.0000 1.5000 1.5000 1.5000 1.2000 1.5000 0.8000 1.5000 0 2.0000 1.0000 1.8000 1.8000 2.5000 1.5000 1.8000 2.0000 2.0000 2.0000 0 2.0000 1.5000 1.5000 2.0000 1.8000 1.8000 1.0000 2.0000 1.0000 2.0000 0 1.4000 1.8000 1.5000 1.8000 2.0000 1.5000 1.5000 1.8000 1.5000 1.4000 0 1.4000 2.0000 2.0000 2.7000 2.2000 1.5000 1.8000 1.5000 1.8000 1.4000 0 2.0000 2.7000 1.6000 2.0000 1.5000 2.5000 2.0000 1.5000 2.0000 2.0000 0 1.6000 0 0.8000 1.2000 1.5000 1.8000 1.8000 2.0000 2.7000 1.6000 0; enddata !目标函数; min=@sum(lc(I,J): lucheng(I,J)); !整数约束; @for(plan bin(a));@for(car(I) free(time(I)) ;!从零点开始最终回来; @for(car(I): a(1,1,I)=1;a(10,10,I)=1); !每个任务只能有一个; @sum(car(I): @sum(place(K): @sum(place(J): a(J,K,I))))=1; !每个车的任务最多有四个; @for(car(I): @sum(plan(J,K,I):a(J,k,I))<=6 ); !前一辆车任务大于等于后一辆车; @for(car(I)|I#lt#3: @sum(plan:a(J,K,I))>=@sum(plan:a(J,K,I+1) ); !求which 例子 若a(1,:)=[1 0 0 1 0 1 0 0 0 1]; ! 则 which(1,:)=[1 1 1 4 4 6 6 6 6 10] ; @for(car(I): @for(place(K)|@sum(place(J):a(K,J,I)) #eq#1: @for(place(J)|a(K,J,I) #eq#1: which(I,K)=J );); @for(place(K)|@sum(place(J):a(K,J,I)) #ne#1: which(I,K)=which(I,K-1)); !时间限制; @for(car(J): time(J)>=-10;time(J)<=7); @for(jiu(J): ct(I,J)=@if(which(I,J)#ne#which(I,J+1),dt(which(I,J),which(I,J+1))+timexie(which(I,J)),0)); @for(jiu(J): time(I)+ct(I,J)>=time1(J+1);time(I)+ct(I,J)<=time2(J+1)); !求每辆车行驶的距离; @for(jiu(J): lucheng(I,J)=@if(which(I,J)#ne#which(I,J+1),dd(which(I,J),which(I,J+1)),0) ); ); end |
bin(a));
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