It is shown that the optimum of an integer program in fixed dimension, which is defined by a fixed number of constraints, can be computed with O(s) basic arithmetic operations, where s is the binary encoding length of the input. This improves on the quadratic running time of previous algorithms which are based on Lenstra's algorithm and binary search. It follows that an integer program in fixed dimension, which is defined by m constraints, each of binary encoding length at most s, can be solved with an expected number of O(m+log(m) s) arithmetic operations using Clarkson's random sampling algorithm. © Springer-Verlag 2003.
CITATION STYLE
Eisenbrand, F. (2003). Fast Integer Programming in Fixed Dimension. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2832, 196–207. https://doi.org/10.1007/978-3-540-39658-1_20
Mendeley helps you to discover research relevant for your work.