Introducing multiobjective complex systems

•Theory of multiobjective complex systems.•Development of a graph based representation of complex systems.•Algorithmic solution approaches for multiobjective complex systems.•Compromise between subsystems. This article focuses on the optimization of a complex system which is composed of several subs...

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Bibliographic Details
Published inEuropean journal of operational research Vol. 280; no. 2; pp. 581 - 596
Main Authors Dietz, Tobias, Klamroth, Kathrin, Kraus, Konstantin, Ruzika, Stefan, Schäfer, Luca E., Schulze, Britta, Stiglmayr, Michael, Wiecek, Margaret M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 16.01.2020
Subjects
Complex systems
Decomposition
Linking
Multiple objective programming
Decomposition
Complex systems
Linking
Multiple objective programming
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Summary:•Theory of multiobjective complex systems.•Development of a graph based representation of complex systems.•Algorithmic solution approaches for multiobjective complex systems.•Compromise between subsystems. This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local constraints as well as local variables, and they are associated with an own, subsystem-dependent decision maker. On the other hand, these subsystems are interconnected to each other by global variables or linking constraints. Due to these interdependencies, it is in general not possible to simply optimize each subsystem individually to improve the performance of the overall system. This article introduces a formal graph-based representation of such complex systems and generalizes the classical notions of feasibility and optimality to match this complex situation. Moreover, several algorithmic approaches are suggested and analyzed.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2019.07.027