Need help for solving an Optimization problem

Question

VISHNUPRIYA M S 2018-10-24

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/425807-need-help-for-solving-an-optimization-problem

编辑： Torsten 2018-10-29

采纳的回答： Torsten

Reservoir.xlsx

在 MATLAB Online 中打开

I have written a code for my problem My problem is Min L

Subject to:

0 ≤ Qt ≤ Qm

St = St-1 + It - Qt

Sd ≤ St ≤ Sm

Qt ≤ L

%Read the excel file containing time series inflow data
data = xlsread('Reservoir.xlsx');
t = data(:,1); % days
I(:,1) = data(:,2); % m^3
T = data(end,1); % days
S_0 = data(1,5); % m^3
S_d = data(2,5); % m^3
S_m = data(3,5); % m^3
Q_m = data(4,5); % m^3
L = optimvar('L',1,'LowerBound',0,'UpperBound',Q_m);
Q = optimvar('Q',T,'LowerBound',0,'UpperBound',Q_m);
S = optimvar('L',T,'LowerBound',S_d,'UpperBound',S_m);
waterbalance = optimconstr(T,1);
for t = 1:T
    if t == 1
        storage = S_0;
    else
        storage = S(t-1);
    end
    waterbalance(t) = S(t) == storage + I(t) - Q(t);
end
discharge = optimconstr(T,1);
for t= 1:T
  discharge(t) = Q(t)<=L;
end
prob.Constraints.waterbalance = waterbalance;
prob.Constraints.discharge = discharge;
prob = optimproblem;
prob.Objective = L;
sol = solve(prob)