Approximate mixed type duality for semi-infinite programs having equilibrium constraints

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-06-18 DOI:10.1016/j.orl.2025.107324

Tamanna Yadav, S.K. Gupta, Bishal Biswas

引用次数: 0

Abstract

This research delves into the study of a multiobjective non-smooth semi-infinite programming problem with equilibrium constraints. Utilizes the locally Lipschitz property of functions, we develop an approximate sufficient optimality result for the semi-infinite program using the approximate M-stationary point. Additionally, we construct an approximate mixed-type dual problem for the considered semi-infinite model and establish approximate duality relations under the generalized convexity assumptions and using the notion of the approximate M-stationary point.

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具有平衡约束的半无限规划的近似混合对偶性

研究了一类具有平衡约束的多目标非光滑半无限规划问题。利用函数的局部Lipschitz性质，利用近似m -驻点给出了半无限规划的近似充分最优性。此外，我们构造了所考虑的半无限模型的近似混合型对偶问题，并在广义凸性假设下，利用近似m -平稳点的概念建立了近似对偶关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.