Technical Note---Preservation of Supermodularity in Parametric Optimization Problems with Nonlattice Structures

Xin Chen (), Peng Hu () and Simai He ()
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Xin Chen: Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana--Champaign, Urbana, Illinois 61801
Peng Hu: School of Management, Huazhong University of Science and Technology, Wuhan 430074, China
Simai He: Department of Management Sciences, City University of Hong Kong, Kowloon, Hong Kong

Operations Research, 2013, vol. 61, issue 5, 1166-1173

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(sharp)-concavity; parametric optimization problems; inventory; pricing (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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