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  Fast Integer Programming in Fixed Dimension

Eisenbrand, F. (2003). Fast Integer Programming in Fixed Dimension. In Algorithms - ESA 2003 (pp. 196-207). Berlin: Springer.

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 Creators:
Eisenbrand, Friedrich1, Author           
Di Battista, Guiseppe2, Editor
Zwick, Uri2, Editor
Affiliations:
1Discrete Optimization, MPI for Informatics, Max Planck Society, ou_1116548              
2External Organizations, ou_persistent22              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2004-07-012003
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 201995
Other: Local-ID: C1256BDD00205AD6-95592AD78634B81EC1256E0C003C9CAA-Eisen2003
DOI: 10.1007/978-3-540-39658-1_20
 Degree: -

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Title: 11th Annual European Symposium on Algorithms
Place of Event: Budapest, Hungary
Start-/End Date: 2003-09-16 - 2003-09-19

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Title: Algorithms - ESA 2003
  Subtitle : 11th Annual European Symposium, Budapest, Hungary, September 16-19, 2003. Proceedings
  Abbreviation : ESA 2003
Source Genre: Proceedings
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Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 196 - 207 Identifier: ISBN: 3-540-20064-9

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Title: Lecture Notes in Computer Science
  Abbreviation : LNCS
Source Genre: Series
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Pages: - Volume / Issue: 2832 Sequence Number: - Start / End Page: - Identifier: -