Algebra of Efficient Sets for Multiobjective Complex Systems

作者：Gardenghi Melissa; Gomez Trinidad; Miguel Francisca; Wiecek Margaret M^*

来源：Journal of Optimization Theory and Applications, 2011, 149(2): 385-410.

DOI：10.1007/s10957-010-9786-y

• Multiobjective programs
• Complex systems
• Efficient set
• Decomposition
• Coordination

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.

• 出版日期2011-5