$${\cal K}$$ -Convexity1 in $$\Re^{n}$$

G. Gallego and Suresh Sethi
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G. Gallego: Columbia University

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 1, No 4, 88 pages

Abstract: Abstract We generalize the concept of K-convexity to an n-dimensional Euclidean space. The resulting concept of $${\cal K}$$ -convexity is useful in addressing production and inventory problems where there are individual product setup costs and/or joint setup costs. We derive some basic properties of $${\cal K}$$ -convex functions. We conclude the paper with some suggestions for future research.

Keywords: K-convexity; inventory models; (s; S) policy; supermodular functions (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-6393-4

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