Title
The Integral Basis Method for Integer Programming
Abstract
This paper introduces an exact algorithm for solving intege r programs, neither using cutting planes nor enumeration techniques. It is a primal au gmentation algorithm that relies on iteratively substituting one column by columns that correspond to irreducible solutions of certain linear diophantine inequalities. We p rove that our algorithm is finite and demonstrate its potential by testing it on some ins tances of the MIPLIB with several hundred variables.
Year
DOI
Venue
2001
10.1007/s001860100124
Mathematical Methods of Operations Research
Keywords
Field
DocType
cutting plane
Integer,Mathematical optimization,Cutting-plane method,Exact algorithm,Enumeration,Integer programming,Integral method,Diophantine equation,Mathematics,Diophantine approximation
Journal
Volume
Issue
ISSN
53
3
1432-2994
Citations 
PageRank 
References 
13
1.14
3
Authors
3
Name
Order
Citations
PageRank
Utz-Uwe Haus122618.47
M. Köppe2715.38
Robert Weismantel396490.05