Multilevel methodology for a class of non-separable optimization problems
- 1 November 1990
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 21 (11) , 2351-2360
- https://doi.org/10.1080/00207729008910553
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.Keywords
This publication has 5 references indexed in Scilit:
- Hierarchical multiobjective analysis for large-scale systems: Review and current statusAutomatica, 1988
- Hierarchical generating method for large-scale multiobjective systemsJournal of Optimization Theory and Applications, 1987
- Multilevel optimization methods for non-separable problems and applicationInternational Journal of Systems Science, 1973
- On a Bicriterion Formulation of the Problems of Integrated System Identification and System OptimizationIEEE Transactions on Systems, Man, and Cybernetics, 1971
- Duality and Decomposition in Mathematical ProgrammingIEEE Transactions on Systems Science and Cybernetics, 1968