Lifting cover inequalities for the robust knapsack problem

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

Operations Research Letters Pub Date : 2025-04-28 DOI:10.1016/j.orl.2025.107301

Youngjoo Roh , Junyoung Kim , Kyungsik Lee

引用次数: 0

Abstract

Robust cover inequalities are well-known valid inequalities for the robust knapsack problem (RKP). To strengthen them, we use lifting, which involves solving lifting problems—special cases of the RKP. We propose a novel lifting method that leverages upper bounds for lifting problems. First, we introduce a strong, efficiently computable, and quality-guaranteed upper bound for the RKP based on the decomposition property of its solution set. We then devise an efficient lifting method by applying the proposed upper bound to lifting problems.

查看原文本刊更多论文

鲁棒背包问题的提盖不等式

鲁棒覆盖不等式是鲁棒背包问题（RKP）中众所周知的有效不等式。为了加强它们，我们使用举重，这涉及到解决举重问题- RKP的特殊情况。我们提出了一种新的提升方法，利用上界来解决提升问题。首先，我们基于RKP解集的分解性质，引入了一个强的、可高效计算的、质量保证的RKP上界。然后，我们将提出的上界应用于提升问题，设计了一种有效的提升方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.