how we know my optimized result is correct

I want to know how can i check my optimized result is correct,yeah i know constriants and objective function but i don't know my lower and upper bound or intial guess values,it is just assumptions value for every different objective function ,getting different results. can you please tell me how to check optimized result is correct.

also ,when i use GA for same lb and ub at same constraints value,every time it gives different results,how can i know which result is correct

[Walter Roberson]

Is the question whether the fval that is returned is correct for the returned vector? Is the question whether all of the constraints are met? Is the question whether the point that is located is the global minima ?

ga() uses random generation of points. It is expected that it might give different results. You can compare the fval associated with each result to find the best solution. However if each time you get a result that is not pretty much within floating point tolerance of the other results, then that tends to hint that the function has a lot of local minima, and that means chances are good that you have not found a global minima.

[RAHUL KUMAR]

my question is when i use fmincon , and weight is my objective function so when i change my guess value and lb or ub. it shows that ''optimization completed ,objective function is non-decreasing function and constraints is satisfied" but i'm getting negative value of weight(objective function),how it is negative, or sometime i'm getting positive value of my function.

so my question how to know which value is correct

[Walter Roberson]

As we have not seen your code, we as outside observers have no reason to think that the objective function could not go negative.

If a negative weight does not make sense for your physical situation, then one of the following is true:

1. Your equations are wrong; or
2. Your constraints (bounds, linear inequality, linear equality, nonlinear inequality, nonlinear equality) are wrong; or
3. You used integer constraints and tried to specify constraints that are not compatible with integer constraints and overlooked the warning message that said that the other constraints would be ignored