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» Applications of integer relation algorithms
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COLOGNETWENTE
2008
13 years 11 months ago
Constrained Decompositions of Integer Matrices and their Applications to Intensity Modulated Radiation Therapy
We consider combinatorial optimization problems arising in radiation therapy. Given a matrix I with non-negative integer entries, we seek for a decomposition of I as a weighted su...
Céline Engelbeen, Samuel Fiorini
AAAI
1998
13 years 11 months ago
An Integer Local Search Method with Application to Capacitated Production Planning
Production planning is an important task in manufacturing systems. We consider a real-world capacitated lot-sizing problem (CLSP) from the process industry. Because the problem re...
Joachim P. Walser, Ramesh Iyer, Narayan Venkatasub...
CADE
2005
Springer
14 years 10 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
DAC
2007
ACM
14 years 10 months ago
An Integer Linear Programming Based Routing Algorithm for Flip-Chip Design
The flip-chip package provides a high chip-density solution to the demand for more I/O pads of VLSI designs. In this paper, we present the first routing algorithm in the literatur...
Jia-Wei Fang, Chin-Hsiung Hsu, Yao-Wen Chang
ACSC
2005
IEEE
14 years 3 months ago
Integer Programming Models and Algorithms for Molecular Classification of Cancer from Microarray Data
Novel, high-throughput technologies are challenging the core of algorithmic methods available in Computer Science. Microarray technologies give Life Sciences researchers the oppor...
Regina Berretta, Alexandre Mendes, Pablo Moscato