How do I generate distances between a varying object within a grid and 5 fixed locations.

How do I generate a code that would calculate the distances of the 4 stations and EU to the DC for every given location of the DC within the grid defined below . That is, for every time the DC is moved around within the grid, I want the corresponding distances.

      % Grid Definition of the Distribution Center (DC)
        n = 10;             % Number of grids in the x-direction
        x = 50;             % Dimension of a grid in the x-direction
        k = 8;              % Number of grids in the y-direction
        y = 50;             % Dimension of a grid in the x-direction
      % Location of stations (coordinates)
        S1 = [100 20];
        S2 = [20 150];
        S3 = [50 450];
        S4 = [150 450];
      % Location of the End User
        EU = [7000 200];

I am trying to cost all the options so I can get the cheapest layout.

I have attached a sketch of the layout for better understanding.

Thank you.

Answer 1

[Joseph Cheng]

so you can create x and y pairs using meshgrid()

Gx = [50:50:500];
Gy = [50:50:400];

[Gx Gy] = meshgrid(Gx,Gy);

then knowing your static locations and what the distance formula is [sqrt((x2-x1)^2+(y2-y1)^2)] or using the hypot() function you can calculate the distances between each station DC and EU. you might be able to use the function pdist() but i haven't used it in a while.

Answer 2

[Fun Dan]

Thank you Joseph. You are right. I was told I could use the pdist() but I do not know how to use it either. I tried but it's not working.