Simplicial Pivoting Algorithms for a Tractable Class of Integer Programs

H. Van Maaren () and C. Dang ()
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H. Van Maaren: Delft University of Technology
C. Dang: City University of Hong Kong

Journal of Combinatorial Optimization, 2002, vol. 6, issue 2, No 2, 133-142

Abstract: Abstract We present a tractable class of integer feasibility problems. This class of max-closed IP problems was studied in somewhat restricted form by Glover, Pnueli, Hochbaum and Chandrasekaran and has a logic counterpart known as the class of Horn formulas. First we modify the existing algorithms in order to avoid the related recognition problem. Then we show that in order to solve these max-closed IP problems, simplicial path following methods can be used. This is important because these methods are flexible with respect to starting conditions, which make them more suitable than the top-down truncation algorithms that have been suggested.

Keywords: integer programming; Horn formulas; simplicial algorithms (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1013847510365

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