Paper Info
Title
Algebra of Efficient Sets for Multiobjective Complex Systems
Abstract
Complex systems are modeled as collections of multiobjective programs representing interacting subsystems of the overall system. Since the calculation of efficient sets of these complex systems is challenging, it is desirable to decompose the overall system into component multiobjective programs, that are more easily solved and then construct the efficient set of the overall system. For some classes of complex systems, algebraic properties of set operations and relations are developed between the efficient set of the overall system and the efficient sets of subproblems. The properties indicate that multiple decomposition and coordination schemes, with varying assumptions regarding the system, may be applied to the same initial system.
Year
DOI
Venue
2011
10.1007/s10957-010-9786-y
J. Optimization Theory and Applications
Keywords
Field
DocType
multiobjective programs · complex systems · efficient set · decomposition · coordination,complex system
Complex system,Mathematical optimization,Algebra,Set operations,Theoretical computer science,Algebraic properties,Mathematics
Journal
Volume
Issue
ISSN
149
2
1573-2878
Citations 
PageRank 
References 
5
0.61
6
Authors
4
Name
Order
Citations
PageRank
MELISSA GARDENGHI150.95
Trinidad Gómez2845.98
Francisca Miguel3101.56
Margaret M. Wiecek421322.90