fmincon objective function one know input matrix and one decision variable matrix

hello

my function's input are two matrice x and z and i want to find the optimal value of x given value of z

How can i write the fmincon code? with one unknow decision variable matrix and another given value input matrix?

function [ y ] = expectedprofit(x,z)

k = x(1);
s = x(2);

potential_arrival_rate = z(1);
mu = z(2);
c = z(3);
K = z(4);

lambda=potential_arrival_rate*s;
rho=lambda/mu;

%%m/m/k queueing waiting time
h=0;
for t=0:k-1
    h=h+power(rho,t)/factorial(t);
end;

f=1; %factorial of k ('k!')
for m=1:k
    f=f*m;
end;

denominator = h+k*power(rho,k)/[(k-rho)*f];

numerator = k*power(rho,k)/[(k-rho)*f];

C = numerator/denominator;

waitingtime = C/[mu*(k-rho)];

%%platform expected revenue
y=-lambda*[1-s-c*waitingtime-power(k,2)/(K*lambda)];

end

my fmincon code is:

fun = @expectedprofit;
x0 = [100,0.1];
A = [-1,100];
b = 0;
Aeq = [];
beq = [];
lb = [0,0];
ub = [100,1];
x = fmincon(fun,x0,A,b,Aeq,beq,lb,ub);

Answer 1

[Alan Weiss]

Without reading your code in detail, if z is given (numeric) and you want to find x, then have your objective function be

fun = @(x)expectedprofit(x,z);

Good luck,

Alan Weiss

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