Perfect, ideal and balanced matrices

Perfect, ideal and balanced matrices

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Article ID: iaor20021943
Country: Netherlands
Volume: 133
Issue: 3
Start Page Number: 455
End Page Number: 461
Publication Date: Sep 2001
Journal: European Journal of Operational Research
Authors: , , ,
Keywords: set covering
Abstract:

In this paper, we survey results and open problems on perfect, ideal and balanced matrices. These matrices arise in connection with the set packing and set covering problems, two integer programming models with a wide range of applications. We concentrate on some of the beautiful polyhedral results that have been obtained in this area in the last 30 years. This survey first appeared in Ricerca Operativa.

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