Detecting embedded networks in LP using GUB structures and independent setalgorithms

Citation
N. Gulpinar et al., Detecting embedded networks in LP using GUB structures and independent setalgorithms, COMPUT OP A, 15(3), 2000, pp. 235-247
Citations number
23
Categorie Soggetti
Engineering Mathematics
Journal title
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
ISSN journal
09266003 → ACNP
Volume
15
Issue
3
Year of publication
2000
Pages
235 - 247
Database
ISI
SICI code
0926-6003(200003)15:3<235:DENILU>2.0.ZU;2-C
Abstract
In this paper, we present an alternative multi-stage generalized upper boun ds (GUB) based approach for detecting an embedded pure network structure in an LP problem. In order to identify a GUB structure, we use two different approaches; the first is based on the notion of Markowitz merit count and t he second exploits independent sets in the corresponding graphs. Our comput ational experiments show that the multi-stage GUB algorithm based on these approaches performs favourably when compared with other well known algorith ms.