Technical Note—Preservation of Supermodularity in Parametric Optimization Problems with Nonlattice Structures
Operations Research · 2013 · Volume 61 · Issue 5
Abstract
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.
Keywords
supermodularity, L♮-concavity, parametric optimization problems, inventory, pricing
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