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Robust optimization for interactive multiobjective programming with imprecise information applied to R&D project portfolio selection

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  • Hassanzadeh, Farhad
  • Nemati, Hamid
  • Sun, Minghe

Abstract

A multiobjective binary integer programming model for R&D project portfolio selection with competing objectives is developed when problem coefficients in both objective functions and constraints are uncertain. Robust optimization is used in dealing with uncertainty while an interactive procedure is used in making tradeoffs among the multiple objectives. Robust nondominated solutions are generated by solving the linearized counterpart of the robust augmented weighted Tchebycheff programs. A decision maker’s most preferred solution is identified in the interactive robust weighted Tchebycheff procedure by progressively eliciting and incorporating the decision maker’s preference information into the solution process. An example is presented to illustrate the solution approach and performance. The developed approach can also be applied to general multiobjective mixed integer programming problems.

Suggested Citation

  • Hassanzadeh, Farhad & Nemati, Hamid & Sun, Minghe, 2014. "Robust optimization for interactive multiobjective programming with imprecise information applied to R&D project portfolio selection," European Journal of Operational Research, Elsevier, vol. 238(1), pages 41-53.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:1:p:41-53
    DOI: 10.1016/j.ejor.2014.03.023
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    18. Salo, Ahti & Doumpos, Michalis & Liesiö, Juuso & Zopounidis, Constantin, 2024. "Fifty years of portfolio optimization," European Journal of Operational Research, Elsevier, vol. 318(1), pages 1-18.
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    20. Fliedner, Thomas & Liesiö, Juuso, 2016. "Adjustable robustness for multi-attribute project portfolio selection," European Journal of Operational Research, Elsevier, vol. 252(3), pages 931-946.
    21. Ran Etgar & Yuval Cohen, 2022. "Roadmap Optimization: Multi-Annual Project Portfolio Selection Method," Mathematics, MDPI, vol. 10(9), pages 1-23, May.
    22. Dalton Garcia Borges de Souza & Erivelton Antonio dos Santos & Nei Yoshihiro Soma & Carlos Eduardo Sanches da Silva, 2021. "MCDM-Based R&D Project Selection: A Systematic Literature Review," Sustainability, MDPI, vol. 13(21), pages 1-34, October.
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