Technical Note-Preservation of Supermodularity in Parametric Optimization Problems with Nonlattice Structures
成果类型：
Article
署名作者：
Chen, Xin; Hu, Peng; He, Simai
署名单位：
University of Illinois System; University of Illinois Urbana-Champaign; Huazhong University of Science & Technology; City University of Hong Kong
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.2013.1203
发表日期：
2013
页码：
1166-1173
关键词：
摘要：
This paper establishes a new preservation property of supermodularity in a class of two-dimensional parametric optimization problems, where the constraint sets may not be lattices. This property and its extensions unify several results in the literature and provide powerful tools to analyze a variety of operations models including a two-product coordinated pricing and inventory control problem with cross-price effects that we use as an illustrative example.