The Structure of the Infinite Models in Integer Programming

• 成果类型: Article
• 署名作者: Basu, Amitabh; Conforti, Michele; Di Summa, Marco; Paat, Joseph
• 署名单位: Johns Hopkins University; University of Padua; Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2018.0977
• 发表日期: 2019
• 页码: 1412-1430
• 关键词: valid inequalities; cuts

摘要

The infinite models in integer programming can be described as the convex hull of some points or as the intersection of halfspaces derived from valid functions. In this paper, we study the relationships between these two descriptions. Our results have implications for corner polyhedra. One consequence is that nonnegative, continuous valid functions suffice to describe corner polyhedra (with or without rational data).