assigning people to places

GAMS
1

Hi everyone.

I am working on a model which basically assigns the people to the places.
The coordinates of the places are defined by me, there are 10 places.
Instead of this, I want to define a square which has four corners. All points both inside and border of the square are candidate places for assigning the people. Thus, I can have many many candidate points and the problem would work on a contunious area.
How can i define this square in Gams world?

2

Hi,

So it seems that you want to optimize the coordinates of your places? In that case you need to make the coordinates of your places variables. Maybe the following helps:

set p     places     / p1*p10 /
    coord cordinates / x,y /
      
variable pos(p,coord);
*asuming the corners of your square are for example (0,0), (0,3), (3,0), (3,3) you have to set variable bounds accordingly.
pos.lo(p,'x') = 0;
pos.up(p,'x') = 3;
pos.lo(p,'y') = 0;
pos.up(p,'y') = 3;

If this does not help, you might want to share some code that illustrates what you would like to model.

Best,
Fred

3

Hi,

I tried to use this logic but my aim is creating a contunious area as sum of the all places.
For example I have a 1x1 bounded area and the corners: (0,0) (0,1) (1,0) and (1,1).
Inside this bounded area:
There are infinite number of places.
(0, 0.00001) (0, 0.00001) (0, 0.001) ect.

I want to have a code which can think all possible points.
If i write 1*10 as a set, it only gives me 10 points.

4

Hi,

I don’t get it. If there is an infinite number of places, how should your code be able to “think” all of them?

Fred

5

Hi,

This is what I am still searching :slight_smile:

My aim is making a continuous area instead of discrete area.