Integral Polyhedra in Three Space

Herbert Scarf

Chapter 4 in Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, 2008, pp 69-104 from Palgrave Macmillan

Abstract: Abstract In a series of recent papers I have introduced a particular class of convex polyhedra in Rn, arising in the study of integer programming problems with n variables. In the present paper a detailed analysis of these polyhedra will be given for the case in which n = 3; the analysis is based on an unpublished theorem demonstrated several years ago by Roger Howe, which seems to have no immediate generalization to higher values of n.

Keywords: Integral polyhedra; integer programming (search for similar items in EconPapers)
Date: 2008
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Working Paper: Integral Polyhedra in Three Spaces (1982)
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Persistent link: https://EconPapers.repec.org/RePEc:pal:palchp:978-1-137-02441-1_4

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DOI: 10.1057/9781137024411_4

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