I wrote a equation my model vrp. But it didn't run. x is a binary variable, x(i,j,k) i source and j destination, k is a vehicle. p is an any arrival point, when k. vehicle arrive p.th point and then depart. p and pp is an alias i,j respectivelly. Could anyone solve this problem.
Thanks.
arrive(k).. sum((i,pp),x(i,pp,k))  sum((p,j)$(p.val=pp.val),x(p,j,k))=e=0;
index set control

 User
 Posts: 108
 Joined: 2 years ago
Re: index set control
Hmm, this line is incorrect:
arrive(k).. sum((i,pp),x(i,pp,k))  sum((p,j)$(p.val=pp.val),x(p,j,k))=e=0;
You don't have "control" of set pp at that point, more informally, which element of pp do you mean to appear ?
What is the constraint supposed to achieve ?
arrive(k).. sum((i,pp),x(i,pp,k))  sum((p,j)$(p.val=pp.val),x(p,j,k))=e=0;
You don't have "control" of set pp at that point, more informally, which element of pp do you mean to appear ?
What is the constraint supposed to achieve ?
Re: index set control
Hi, thank you for your response,
this constraint typicslly VRP arriving and depart constraint. if value of pp=1, value of p should be 1, shortly, when a vehicle arrive i.th point and then depart i.point. (i: source, j: destination), is syntax "$(p.val=pp.val)" assing pp value to p value. Or may be write this equation to RHS for assignning. Thanks.
this constraint typicslly VRP arriving and depart constraint. if value of pp=1, value of p should be 1, shortly, when a vehicle arrive i.th point and then depart i.point. (i: source, j: destination), is syntax "$(p.val=pp.val)" assing pp value to p value. Or may be write this equation to RHS for assignning. Thanks.

 User
 Posts: 108
 Joined: 2 years ago
Re: index set control
I don't know VRP models and sincerely I can't understand from your description what this constraint is supposed to achieve. Do you mean:
"If a vehicle arrives at a point p, it must also leave it" ?
If so, this can be written as:
arrAndDep(k,p).. sum(i$(not sameas(i,p)),x(i,p,k)) =e= sum(i$(not sameas(i,p)),x(p,i,k)) ;
Beware this constraint does not exclude "roundtrips" (i.e. "going back to the source") or routes that "visit" p more than one time.
"If a vehicle arrives at a point p, it must also leave it" ?
If so, this can be written as:
arrAndDep(k,p).. sum(i$(not sameas(i,p)),x(i,p,k)) =e= sum(i$(not sameas(i,p)),x(p,i,k)) ;
Beware this constraint does not exclude "roundtrips" (i.e. "going back to the source") or routes that "visit" p more than one time.