% Define distance matrix (10x10)

distances = [

0, 3, 0, 0, 0, 0, 0, 0, 0, 0;

3, 0, 4, 0, 0, 0, 0, 0, 0, 0;

0, 4, 0, 5, 0, 0, 0, 0, 0, 0;

0, 0, 5, 0, 6, 0, 0, 0, 0, 0;

0, 0, 0, 6, 0, 7, 0, 0, 0, 0;

0, 0, 0, 0, 7, 0, 8, 0, 0, 0;

0, 0, 0, 0, 0, 8, 0, 9, 0, 0;

0, 0, 0, 0, 0, 0, 9, 0, 10, 0;

0, 0, 0, 0, 0, 0, 0, 10, 0, 11;

0, 0, 0, 0, 0, 0, 0, 0, 11, 0;

];

% Define capacity matrix (10x1)

capacities = [

15;

20;

25;

20;

30;

25;

30;

15;

20;

10;

];

% Define source and destination nodes

source_node = 1;

destination_node = 10;

% Define decision variables for edge selection

edges = cvx.Variable(size(distances));

% Define objective function: minimize total distance

objective = sum(sum(distances .* edges));

% Define constraints

constraints = [

sum(edges(source_node, :)) == 1, % Outgoing edges from source

sum(edges(:, destination_node)) == 1 % Incoming edges to destination

];

for node = 1:size(distances, 1)

constraints = [constraints, sum(edges(node, :)) <= capacities(node)]; % Node capacity constraints

end

% Solve the optimization problem using CVX

cvx_begin quiet

variable edges(size(distances));

minimize(objective);

subject to

constraints;

cvx_end

% Extract the optimal edge selection

optimal_edges = edges;

% Find the shortest path based on the optimal edge selection

current_node = source_node;

shortest_path = current_node;

while current_node ~= destination_node

next_node = find(optimal_edges(current_node, == 1);

current_node = next_node;

shortest_path = [shortest_path, current_node];

end

% Display the shortest path

fprintf(‘Shortest path from Node %d to Node %d: ‘, source_node, destination_node);

fprintf(’%d → ‘, shortest_path(1:end-1));

fprintf(’%d\n’, shortest_path(end));

fprintf(‘Shortest distance: %.2f\n’, cvx_optval);

=========================================

hello every one, I am using macios and matlab 2020a. When I run the code I am getting

"Unable to resolve the name cvx.Variable.

Error in untitled2 (line 34)

edges = cvx.Variable(size(distances));" this error. Could you help me to solve it ? thank you