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Optimization of a script

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Alcide
Alcide on 24 Aug 2023
Answered: Bruno Luong on 24 Aug 2023
Hi,
I'm working on a script like this:
a=[ 1 1 0 1 1 1 1 0 1]
b=2
c=3.2
v=0
for i=1: 9
f=b*2^(i-1)
if a(i)==0
g=f*c-f
v=v+g
end
end
I would like to maximize the value of v using b and c as variables.
How can i do that?
TY
  2 Comments
Dyuman Joshi
Dyuman Joshi on 24 Aug 2023
Do you mean - you want to find value of b and c for which v will be maximum?
Torsten
Torsten on 24 Aug 2023
b = c = Inf

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Accepted Answer

Bruno Luong
Bruno Luong on 24 Aug 2023
The v you compute is simply
132*b*(c-1)
You want to optimiza it? Take b=Inf and c=Inf

More Answers (1)

Kevin Holly
Kevin Holly on 24 Aug 2023
Edited: Kevin Holly on 24 Aug 2023
You can use fmincon.
a = [1 1 0 1 1 1 1 0 1];
b0 = 2; % Initial guess for b
c0 = 3.2; % Initial guess for c
% Define the objective function to maximize
objective = @(x) -calculateV(a, x(1), x(2));
% Set the lower and upper bounds for the variables
lb = [0, 0]; % Lower bounds for b and c
ub = [Inf, Inf]; % Upper bounds for b and c
% Perform constrained optimization to maximize v
[x, fval] = fmincon(objective, [b0, c0], [], [], [], [], lb, ub);
Problem appears unbounded. fmincon stopped because the objective function value is less than the value of the objective function limit and constraints are satisfied to within the value of the constraint tolerance.
% Retrieve the optimized values
b_optimized = x(1);
c_optimized = x(2);
v_maximized = -fval;
% Display the optimized values and the corresponding v
disp("Optimized Values:")
Optimized Values:
disp("b = " + b_optimized)
b = 10167158107334.54
disp("c = " + c_optimized)
c = 10639554538105.3
disp("Maximized v = " + v_maximized)
Maximized v = 1.4278972379828e+28
% Function to calculate v for given a, b, and c
function v = calculateV(a, b, c)
v = 0;
for i = 1:numel(a)
f = b * 2^(i-1);
if a(i) == 0
g = f * c - f;
v = v + g;
end
end
end

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