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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| Vydáno v: | European journal of operational research Ročník 280; číslo 2; s. 581 - 596 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
16.01.2020
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| ISSN: | 0377-2217, 1872-6860 |
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| Abstract | •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. |
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| AbstractList | •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. |
| Author | Kraus, Konstantin Klamroth, Kathrin Schäfer, Luca E. Schulze, Britta Stiglmayr, Michael Ruzika, Stefan Dietz, Tobias Wiecek, Margaret M. |
| Author_xml | – sequence: 1 givenname: Tobias surname: Dietz fullname: Dietz, Tobias organization: Department of Mathematics, Technische Universität Kaiserslautern, Germany – sequence: 2 givenname: Kathrin surname: Klamroth fullname: Klamroth, Kathrin organization: School of Mathematics and Natural Sciences, University of Wuppertal, Germany – sequence: 3 givenname: Konstantin surname: Kraus fullname: Kraus, Konstantin organization: School of Mathematics and Natural Sciences, University of Wuppertal, Germany – sequence: 4 givenname: Stefan surname: Ruzika fullname: Ruzika, Stefan organization: Department of Mathematics, Technische Universität Kaiserslautern, Germany – sequence: 5 givenname: Luca E. orcidid: 0000-0003-0454-0234 surname: Schäfer fullname: Schäfer, Luca E. organization: Department of Mathematics, Technische Universität Kaiserslautern, Germany – sequence: 6 givenname: Britta surname: Schulze fullname: Schulze, Britta organization: School of Mathematics and Natural Sciences, University of Wuppertal, Germany – sequence: 7 givenname: Michael orcidid: 0000-0003-0926-1584 surname: Stiglmayr fullname: Stiglmayr, Michael email: stiglmayr@math.uni-wuppertal.de organization: School of Mathematics and Natural Sciences, University of Wuppertal, Germany – sequence: 8 givenname: Margaret M. surname: Wiecek fullname: Wiecek, Margaret M. organization: Department of Mathematical Sciences, Clemson University, SC, USA |
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