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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…
A Quasi Newton Method for Uncertain Multiobjective Optimization Problems via Robust Optimization Approach
Shubham kumar, Nihar Kumar Mahato, Md Abu T Ansary +1
In this paper, we propose a quasi Newton method to solve the robust counterpart of an uncertain multiobjective optimization problem under an arbitrary finite uncertainty set. Here…