Optimization of a script

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 个评论

Do you mean - you want to find value of b and c for which v will be maximum?
b = c = Inf

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 采纳的回答

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

更多回答(1 个)

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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