A note on resolving infeasibility in linear programs by constraint relaxation

A note on resolving infeasibility in linear programs by constraint relaxation

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Article ID: iaor1994722
Country: Netherlands
Volume: 13
Issue: 1
Start Page Number: 19
End Page Number: 20
Publication Date: Feb 1993
Journal: Operations Research Letters
Authors:
Keywords: combinatorial analysis
Abstract:

The paper studies the problem of finding a set of constraints of minimum cardinality which when relaxed in an infeasible linear program, make it feasible. It shows the problem is NP-hard even when the constraint matrix is totally unimodular and proves polynomial-time solvability when the constraint matrix and the right-hand-side together form a totally unimodular matrix.

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