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Nonmonotone Trust-Region Methods for Optimization of Set-Valued Mapping of Finite Cardinality
Suprova Ghosh, Debdas Ghosh, Zai-Yun Peng +1
Non-monotone trust-region methods are known to provide additional benefits for scalar and multi-objective optimization, such as enhancing the probability of convergence and improvi…
Robust Optimization Approach for Solving Uncertain Multiobjective Optimization Problems Using the Projected Gradient Method
Shubham Kumar, Nihar Kumar Mahatoa, Debdas Ghosh
Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of…
Global Convergence and Rate Analysis of the Steepest Descent Method for Uncertain Multiobjective Optimization via a Robust Optimization Approach
Shubham Kumar, Nihar Kumar Mahato, Debdas Ghosh
In this article, we extend our previous work (Applicable Analysis, 2024, pp. 1-25) on the steepest descent method for uncertain multiobjective optimization problems. While that stu…
Solution of Uncertain Multiobjective Optimization Problems by Using Nonlinear Conjugate Gradient Method
Shubham Kumar, Nihar Kumar Mahato, Debdas Ghosh
This paper introduces a nonlinear conjugate gradient method (NCGM) for addressing the robust counterpart of uncertain multiobjective optimization problems (UMOPs). Here, the robust…