Multilevel methodology for a class of non-separable optimization problems

Abstract
A class of large-scale non-separable problems is considered, where the overall objective function is not of an additive form with respect to subsystems. The non-separable optimization problem is embedded in a corresponding multiobjective separable optimization problem. A theoretical grounding is established for the original problem's optimal solution, which is attained by a non-inferior solution of the corresponding multiobjective separable optimization problem. A three-level methodology, which decomposes the overall large-scale problem into smaller subproblems and reaches the optimal solution in an iterative way, is also developed.

This publication has 5 references indexed in Scilit: