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Technical Note—Recognizing Unbounded Integer Programs

Published in Operations Research • Feb 1, 1987
NobleIDNI9P33W78R01S59
Authors:
Richard H. Byrd
,
A. J. Goldman
,
Miriam Heller

Abstract

If an integer program (IP) has an unbounded continuous relaxation, is the IP also unbounded? We find the answer to be “no” in general but “yes” when the IP is feasible and has rational data. We also discuss related geometrical and algorithmic considerations.

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