The effects of coefficient correlation structure in two-dimensional knapsack problems on solution procedure performance

• 成果类型: Article
• 署名作者: Hill, RR; Reilly, CH
• 署名单位: Air Force Institute of Technology (AFIT); United States Department of Defense; United States Air Force; US Air Force Research Laboratory; State University System of Florida; University of Central Florida
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.46.2.302.11930
• 发表日期: 2000
• 页码: 302-317
• 关键词: product moment correlation induction; rank correlation induction; computational testing of algorithms/heuristics; empirical analysis of algorithms/heuristics; bidimensional knapsack problem; test problem generation

摘要

This paper presents the results of an empirical study of the effects of coefficient correlation structure and constraint slackness settings on the performance of solution procedures on synthetic two-dimensional knapsack problems (2KP). The population correlation structure among 2KP coefficients, the level of constraint slackness, and the type of correlation (product moment or rank) are varied in this study. Representative branch-and-bound and heuristic solution procedures are used to investigate the influence of these problem parameters on solution procedure performance. Population correlation structure, and in particular the interconstraint component of the correlation structure, is found to be a significant factor influencing the performance of both the algorithm and the heuristic. In addition, the interaction between constraint slackness and population correlation structure is found to influence solution procedure performance.