Abstract: This paper proposes a double-loop hierarchical algorithm for multiple objectives optimization.First,the algorithm assembles the multiple objectives into one objective by the preference of decision-maker,and then em beds the nonseparable one objective optimization problem into separable multiobjective optimization problem.Finally,the optimal solution of the nonseparable problem can be obtained from the set of solutions of the separable multiobjective optimization problem,this optimal solution is provided as one non-inferior solution of the original problem.

Key words: multi objective optimization, interaction balance method, large scale steady state systems