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...
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...
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
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...
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...