Problem with writing sigma notation

Hi guys

I have an algorithm that gives me error in matlab when implmenting.

the algorithm is for mobile crowd sensing that link tasks with workers

The matrix G store the worker score . Each worker has strategy profile of tasks that are linked to him in a matrix S. Now, the worker's score under strategy is expressed as in the attached image. Moreover, the algorithm is showing the goal of the platform (that is proposed in the paper) of maximizing the workers scores. To have clearer imagination about the proposed platform in the paper, you can check the attachments.

When I run the code, I tried to write it as follows:

for i=1:T
    for j=1:W
        G(S)=(sigma(i,j)(G)(S)) % eq 11
    end
end
for i=1:T
    for j=1:W
        max(G)=symsum(i,j)(G(i)(S)) % eq 12
    end 
end

It shows me this error:

Error: File: June_2022_exer.m Line: 120 (where eq 11 is written)
Column: 7
Invalid array indexing.

As you see, I tried ti implement sigma notation in two ways.

Kindly help

Answer 1

[ag]

Hi,

I understand that you need to calculate the sum of the values returned by function "G" for values of "i" ranging from 1 to "n" for a given value of "j".

To achieve this, you can use a for loop in MATLAB. Here is an example of how to implement it:

value_of_G_at_j = 0; 
for i = 1 : n 
    value_of_G_at_j = value_of_G_at_j + G(i, j); 
end 

Please note that in this approach, I assume that "G" is a function that takes "i" and "j" as input variables and returns a single integer value.

The "symsum" function can be used for symbolic vectors or matrices, and not for functions. For more details on "symsum" you can refer to the below documentation:

https://www.mathworks.com/help/symbolic/sym.symsum.html

Hope this helps!

Regards,

Aryan Gupta