How to decide a node in an overlapped area to select which base station

I have attached the pic, i have 200 nodes in this scenario and randomly located base stations. In the overlapped area, i want the nodes to calculate the distance between their location and base stations and then decide the shortest path , How can i do that , any ideas? Thank you in advance

[Glo]

are the nodes static?

[Cladio Andrea]

Yes exactly

[Maira Imran]

Cladio Andrea can you please share the code of this figure?

[Image Analyst]

Maira, try this:

% Create the cyan x's.
numNodes = 200;
nodeX = 200 * rand(1, numNodes);
nodeY = 40 * rand(1, numNodes);
% Plot them
plot(nodeX, nodeY, 'cx', 'MarkerSize', 7);
grid on;
axis equal;
xlabel('X', 'FontSize', 20);
ylabel('Y', 'FontSize', 20);
xlim([0, 200]);
ylim([0, 40]);

% Create the green spots.
numBases = 8;
baseX = 200 * rand(1, numBases);
baseY = 40 * rand(1, numBases);
hold on;
plot(baseX, baseY, 'g.', 'MarkerSize', 25);

% Create the dark blue circles.
numDarkBlueCircles = 23;
blueX = 200 * rand(1, numDarkBlueCircles);
blueY = 40 * rand(1, numDarkBlueCircles);
hold on;
plot(blueX, blueY, 'bo', 'MarkerSize', 7);

% Create the yellow circles.
centers = [baseX', baseY']
radii = 20 * ones(numBases, 1)
% Plot the yellow circles.
viscircles(centers, radii, 'Color', 'y', 'LineWidth', 2);

Answer 1

[Image Analyst]

Just use the Pythagorean theorem to calculate distances

distances = sqrt((thisX - baseStationXs).^2 + (thisY - baseStationsYs).^2);
% Find the closest one
[closestDistance, indexOfClosestBaseStation] = min(distances);

Not really sure what you mean by "shortest path" but that will give you the index of the base station that is closest to your "test" point.

[Image Analyst]

For a discussion on shortest paths, see Steve's blog. http://blogs.mathworks.com/steve/2011/11/01/exploring-shortest-paths-part-1/

If you mean path, as in the Traveling Salesman Problem, then search the Answers forum or MATLAB Central for that or for "TSP".