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AN ISOMETRIC SURFACE METHOD FOR INTEGER LINEAR PROGRAMMING * *Supported by the R&D base on advanced manufacturing technology, Academia Sinica. 

Authors: Y. Y. Nie a;  L. J. Su a; C. Li a
Affiliation:   a Shenyang Institute of Automation, Academia Sinica; Graduate School, C.A.S. No.114, Nanta Avenue, Shenyang, 110016, P.R. China.
DOI: 10.1080/0020716031000103349
Publication Frequency: 12 issues per year
Published in: journal International Journal of Computer Mathematics, Volume 80, Issue 7 July 2003 , pages 835 - 844
Number of References: 4
Formats available: PDF (English)
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Abstract

Based on the isometric plane method for linear programming, an algorithm for integer linear programming is proposed in this paper. The algorithm can quickly obtain the optimal integer point simultaneously using isometric planes and cutting planes derived from polyhedral-cones, rounded-minimal-balls and second-rounded-balls at the highest vertex and its neighboring vertices.
Keywords: Integer Programming; Linear Programming; Isometric Plane; Cutting Plane; Isometric Surface
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