Algebra of Efficient Sets for Multiobjective Complex Systems

Melissa Gardenghi, Trinidad Gómez, Francisca Miguel and Margaret M. Wiecek ()
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Melissa Gardenghi: Clemson University
Trinidad Gómez: University of Málaga
Francisca Miguel: University of Málaga
Margaret M. Wiecek: Clemson University

Journal of Optimization Theory and Applications, 2011, vol. 149, issue 2, No 9, 385-410

Abstract: 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.

Keywords: Multiobjective programs; Complex systems; Efficient set; Decomposition; Coordination (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-010-9786-y

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