EFFICIENT REFORMULATION FOR 0-1 PROGRAMS - METHODS AND COMPUTATIONAL RESULTS

Citation
Bl. Dietrich et al., EFFICIENT REFORMULATION FOR 0-1 PROGRAMS - METHODS AND COMPUTATIONAL RESULTS, Discrete applied mathematics, 42(2-3), 1993, pp. 147-175
Citations number
46
Categorie Soggetti
Mathematics,Mathematics
Volume
42
Issue
2-3
Year of publication
1993
Pages
147 - 175
Database
ISI
SICI code
Abstract
We introduce two general methods for 0-1 program reformulation. Our fi rst method generalizes coefficient reduction, our second method genera lizes lifting. Together they provide a unifying interpretation of many previously described automatic reformulation methods. The particular model structures that we consider are individual knapsack constraints, pairs of knapsack constraints, clique and cover induced inequalities, variable upper bounding constraints and capacity expansion constraint s. We describe several easy applications of our reformulation procedur es. Some computational experience is reported, including the currently best known results on a well-known 147 x 2655 benchmark problem.