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Bi-Objective Optimization Problems—A Game Theory Perspective to Improve Process and Product

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  • Nuno Costa

    (Instituto Politécnico de Setúbal, ESTSetúbal, Campus do IPS-Estefanilha, 2910-761 Setúbal, Portugal
    Research & Development Unit for Mechanical and Industrial Engineering, NOVA School of Science and Technology, Campus de Caparica, 2829-516 Caparica, Portugal)

  • João Lourenço

    (Instituto Politécnico de Setúbal, ESTSetúbal, Campus do IPS-Estefanilha, 2910-761 Setúbal, Portugal)

Abstract

Cost-effective manufacturing processes or products are no longer the only requirements for business sustainability. An approach based on Game Theory is suggested to find solutions for bi-objective problems. In particular, Stackelberg’s technique is employed and complemented with the Factors Scaling tool to help the users in defining its strategy for optimizing process and product quality characteristics. No subjective information (shape factors, weights, and/or any other preference information) is required from the users, and basic computational background is enough for implementing it. Two case studies provide evidence that the suggested easy-to-use approach can yield nondominated solutions from a small number of Leader–Follower cycles, what reinforces its usefulness for bi-objective optimization problems.

Suggested Citation

  • Nuno Costa & João Lourenço, 2022. "Bi-Objective Optimization Problems—A Game Theory Perspective to Improve Process and Product," Sustainability, MDPI, vol. 14(22), pages 1-14, November.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:22:p:14910-:d:969683
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    References listed on IDEAS

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