I have developed an inventory model in crisp environment and then convert it to interval environment. Now the problem is I have converted the profit function into interval function but replacing the cost parameter from real to interval form which raises a fundamental problem that, the right hand of profit function is less than left hand of profit function. But as per common theory right end of the function is Greater than left end
Try to find lower and upper bounds corresponding to interval. It may work.
@S.B.Singh I have tried your technique and it provides some good results but for the profit function if the objective function in interval form consists of only cost parameters as interval form then the right end of the profit function should be defined using the cost from left end of the interval valued parameters then it will work. Otherwise the solutions are not feasible
To me it seems not to be a well-defined problem. It seems to be a real dead end.
Not only that - PSO is a lousy method, if you actually need to find an optimal solution. To only run PSO is a real dead end. PSO is not some magic wand, you know: you need to define your problem so that you can attack it with mathematical optimisation tools, and then - if the problem is convex, you may have a shot at finding an optimum.
What is the left hand and what is the right hand side that you are talking about? What is lower than what? Are you saying that you are not getting any feasible solutions? If that is the case, then your intervals are wrong. You have to find intervals that are logical and reasonable, and that there are feasible solutions. Otherwise, it is not a well-defined problem.
I am getting feasible solution but the only problem is that, if F=[fl, fr] be the objective function then it is assumed that fl
Mirzakhmet Syzdykov sir please explain the theory so that I can apply and improve the solution. But one thing is that I am using PSO so I need help in order to justify the solution that I have obtained. I got the solution but need some strong theoretical background to justify that the solution obtained is optimum
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