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A counterexample to a conjecture of Gomory and Johnson.

Authors :
Basu, Amitabh
Conforti, Michele
Cornuéjols, Gérard
Zambelli, Giacomo
Source :
Mathematical Programming; Jun2012, Vol. 133 Issue 1/2, p25-38, 14p, 1 Illustration
Publication Year :
2012

Abstract

In Mathematical Programming 2003, Gomory and Johnson conjecture that the facets of the infinite group problem are always generated by piecewise linear functions. In this paper we give an example showing that the Gomory-Johnson conjecture is false. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00255610
Volume :
133
Issue :
1/2
Database :
Complementary Index
Journal :
Mathematical Programming
Publication Type :
Academic Journal
Accession number :
75179830
Full Text :
https://doi.org/10.1007/s10107-010-0407-1