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» Bounding Smooth Integers
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BIRTHDAY
2009
Springer
14 years 2 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
EOR
2006
104views more  EOR 2006»
13 years 7 months ago
An linear programming based lower bound for the simple assembly line balancing problem
The simple assembly line balancing problem is a classical integer programming problem in operations research. A set of tasks, each one being an indivisible amount of work requirin...
Marc Peeters, Zeger Degraeve
CPAIOR
2007
Springer
14 years 1 months ago
The Linear Programming Polytope of Binary Constraint Problems with Bounded Tree-Width
We show how to efficiently model binary constraint problems (BCP) as integer programs. After considering tree-structured BCPs first, we show that a Sherali-Adams-like procedure r...
Meinolf Sellmann, Luc Mercier, Daniel H. Leventhal
EJC
2011
13 years 2 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann
JMMA
2010
90views more  JMMA 2010»
13 years 2 months ago
A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions
An original algorithm is presented that generates both restricted integer compositions and restricted integer partitions that can be constrained simultaneously by a) upper and low...
John Douglas Opdyke