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Integral Polyhedra in Three Spaces

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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paper a detailed analysis of these polyhedra will be given for the case in which n = 3; the analysis is based on an unpublished theorem demonstrated several years ago by Roger Howe, which seems to have no immediate generalization to higher values of n.
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  • Herbert E. Scarf, 1982. "Integral Polyhedra in Three Spaces," Cowles Foundation Discussion Papers 632, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:632
    Note: CFP 624a.
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    References listed on IDEAS

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    1. Herbert E. Scarf, 2008. "An observation on the structure of production sets with indivisibilities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 1, pages 1-5, Palgrave Macmillan.
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