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Optimization problems with nonconvex multiobjective generalized Nash equilibrium problem constraints | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 خرداد 1403 اصل مقاله (507.45 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29435.1993 | ||
| نویسندگان | ||
| El-yahyaoui youness* 1؛ Lahoussine Lafhim2 | ||
| 1Laboratory LASMA, Department of mathematics, Sidi Mohamed Ben Abdellah University, Fez, Morocco | ||
| 2Laboratory LASMA, Department of mathematics, Sidi Mohamed Ben Abdellah University, Fez, Morocco | ||
| چکیده | ||
| This work discusses a category of optimization problems in which the lower-level problems include multiobjective generalized Nash equilibrium problems. Despite the fact that it has various possible applications, there has been little research into it in the literature. We provide a single-level reformulation for these types of problems and highlight their equivalence in terms of global and local minimizers. Our method consists of transforming our problem into a one-level optimization problem, utilizing the kth-objective weighted-constraint and optimal value reformulation. The Mordukhovich generalized differentiation calculus is then used to derive completely detailed first-order necessary optimality conditions in the smooth setting. | ||
| کلیدواژه‌ها | ||
| Mathematical programming؛ generalized Nash equilibrium problem؛ kth-objective weighted-constraint approach؛ optimal value function؛ optimality conditions | ||
| مراجع | ||
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