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Introducing multiobjective complex systems

Author

Listed:
  • Dietz, Tobias
  • Klamroth, Kathrin
  • Kraus, Konstantin
  • Ruzika, Stefan
  • Schäfer, Luca E.
  • Schulze, Britta
  • Stiglmayr, Michael
  • Wiecek, Margaret M.

Abstract

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.

Suggested Citation

  • Dietz, Tobias & Klamroth, Kathrin & Kraus, Konstantin & Ruzika, Stefan & Schäfer, Luca E. & Schulze, Britta & Stiglmayr, Michael & Wiecek, Margaret M., 2020. "Introducing multiobjective complex systems," European Journal of Operational Research, Elsevier, vol. 280(2), pages 581-596.
    • Handle: RePEc:eee:ejores:v:280:y:2020:i:2:p:581-596
    DOI: 10.1016/j.ejor.2019.07.027
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    Citations

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    Cited by:

    1. Balderas, Fausto & Fernández, Eduardo & Cruz-Reyes, Laura & Gómez-Santillán, Claudia & Rangel-Valdez, Nelson, 2022. "Solving group multi-objective optimization problems by optimizing consensus through multi-criteria ordinal classification," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1014-1029.
    2. Paredes-Vergara, Matías & Palma-Behnke, Rodrigo & Haas, Jannik, 2024. "Characterizing decision making under deep uncertainty for model-based energy transitions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 192(C).
    3. Eduardo Fernández & Claudia Gómez-Santillán & Nelson Rangel-Valdez & Laura Cruz-Reyes, 2022. "Group Multi-Objective Optimization Under Imprecision and Uncertainty Using a Novel Interval Outranking Approach," Group Decision and Negotiation, Springer, vol. 31(5), pages 945-994, October.
    4. Christian Hoyer & Indra Gunawan & Carmen Haule Reaiche, 2020. "The Implementation of Industry 4.0 – A Systematic Literature Review of the Key Factors," Systems Research and Behavioral Science, Wiley Blackwell, vol. 37(4), pages 557-578, July.

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