Scholarlink

<p>In this paper, we consider nonsmooth adjustable robust optimization problems and necessary/sufficient conditions based on qualification conditions and generalized convexity concepts. Verifiable sufficient conditions and useful relations for these qualification conditions are provided. Our analysis covers a wide range of uncertain sets commonly used in adjustable robust optimization, and we employ a dual approach to address non-reformulated cases of uncertain set, while also providing a direct approach to these problems through reformulation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimality Conditions and Duality in Nonsmooth Adjustable Robust Optimization Problems

  • 期刊论文

  • 发表日期：

    2025年8月15日

查看全文
  • Mai Van Duy,
  • Phan Quoc Khanh,
  • Nguyen Minh Tung

摘要

In this paper, we consider nonsmooth adjustable robust optimization problems and necessary/sufficient conditions based on qualification conditions and generalized convexity concepts. Verifiable sufficient conditions and useful relations for these qualification conditions are provided. Our analysis covers a wide range of uncertain sets commonly used in adjustable robust optimization, and we employ a dual approach to address non-reformulated cases of uncertain set, while also providing a direct approach to these problems through reformulation.