Hierarchical generating method for large-scale multiobjective systems
type: Item
instance of: scholarly article
title: Hierarchical generating method for large-scale multiobjective systems
zbMATH Open document ID: 0596.93005
DOI: 10.1007/BF00939437
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: This paper investigates large-scale multiobjective systems in the context of a general hierarchical generating method which considers the problem of how to find the set of all noninferior solutions by decomposition and coordination. A new, unified framework of the hierarchical generating method is developed by integrating the envelope analysis approach and the duality theory that is used in multiobjective programming. In this scheme, the vector-valued Lagrangian and the duality theorem provide the basis of a decomposition of the overall multiobjective system into several multiobjective subsystems, and the envelope analysis gives an efficient approach to deal with the coordination at a high level. The following decomposition-coordination schemes for different problems are developed: (i) a spatial decomposition and envelope coordination algorithm for large-scale multiobjective static systems; (ii) a temporal decomposition and envelope coordination algorithm for multiobjective dynamic systems; and (iii) a three-level-structure algorithm for large- scale multiobjective dynamic systems.
Mathematics Subject Classification ID: 93A13
Mathematics Subject Classification ID: 49M27
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3961419
zbMATH Keywords: large-scale multiobjective systems
zbMATH Keywords: hierarchical generating method
zbMATH Keywords: decomposition-coordination schemes
zbMATH Keywords: spatial decomposition
zbMATH Keywords: envelope coordination
zbMATH Keywords: temporal decomposition
author: Duan Li
author: Yacov Y. Haimes
MaRDI profile type: Publication
Wikidata QID: Q57445607
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description: scientific article; zbMATH DE number 3961419