A utopia point method-based robust vector polynomial optimization scheme

Tianyi Han (), Liguo Jiao (), Jae Hyoung Lee () and Junping Yin ()
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Tianyi Han: Shanghai Jiao Tong University
Liguo Jiao: Northeast Normal University
Jae Hyoung Lee: Pukyong National University
Junping Yin: Institute of Applied Physics and Computational Mathematics

Journal of Global Optimization, 2024, vol. 88, issue 2, No 8, 483 pages

Abstract: Abstract In this paper, we focus on a class of robust vector polynomial optimization problems (RVPOP in short) without any convex assumptions. By combining/improving the utopia point method (a nonlinear scalarization) for vector optimization and “joint+marginal" relaxation method for polynomial optimization, we solve the RVPOP successfully. Both theoratical and computational aspects are considered.

Keywords: Vector optimization; Polynomial optimization; Robust counterpart; Utopia point method; SDP relaxations; 90C29; 90C34; 90C46; 49N15 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10898-023-01321-9

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