vectorization my user defined function

I have the following array manipulations. How can i convert for loop'for loop' in a Vectorized expression\function.

time =[
    5    10
    3     5
    5     3
    5     7
    3     5];

cost =[
    
6     3
4     3
7    10
10     5
14     9];
x=[1 1 1 1 1;2 2 2 2 2;1 2 1 2 1];
Np=size(x,1)
for i=1:Np
    fun(i,1:2) = [max([time(1,x(i,1))+time(3,x(i,3))+time(5,x(i,5)),...
        time(1,x(i,1))+time(4,x(i,4)),time(2,x(i,2))+...
        time(5,x(i,5))]),cost(1,x(i,1))+cost(2,x(i,2))+...
        cost(3,x(i,3))+cost(4,x(i,4))+cost(5,x(i,5))];
end

[DGM]

Off the top of my head, I don't see a simple way to get rid of the loop.

It can be made a bit more compact.

time = [5 10;
    3 5;
    5 3;
    5 7;
    3 5];

cost = [6 3;
    4 3;
    7 10;
    10 5;
    14 9];

x = [1 1 1 1 1; 2 2 2 2 2; 1 2 1 2 1];

Np = size(x,1);
fun = zeros(Np,2);
for k = 1:Np
    tx = diag(time(:,x(k,:)));
    fun(k,1:2) = [ max([sum(tx([1 3 5])) sum(tx([1 4])) sum(tx([2 5]))]), ...
        sum(diag(cost(:,x(k,:)))) ];
end
fun

I'm sure someone else could come up with something way more clever than I can.

[Adarsh Tiwari]

Thanks DGM

It is definitely more compact than mine but I needed vectorized form.

Answer 1

[Abolfazl Chaman Motlagh]

a simple quick solution is :

time =[5,10;3,5;5,3;5,7;3,5];
cost =[6,3;4,3;7,10;10,5;14,9];
x=[1 1 1 1 1;2 2 2 2 2;1 2 1 2 1];

fun = [max([time(1,x(:,1))'+time(3,x(:,3))'+time(5,x(:,5))',...
time(1,x(:,1))'+time(4,x(:,4))',time(2,x(:,2))'+...
time(5,x(:,5))'],[],2),cost(1,x(:,1))'+cost(2,x(:,2))'+...
        cost(3,x(:,3))'+cost(4,x(:,4))'+cost(5,x(:,5))']

fun = 3×2

13 41 18 30 13 35

[Adarsh Tiwari]

Thanks Abolfazl Chaman Motlagh

It serves my purpose. i may now go ahead with my code.