Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences
Many industrial problems can be naturally formulated using mixed integer non-linear programming (MINLP) models and can be solved by spatial BranchBound (sBB) techniques. We study the impact of two important parts of sBB methods: bounds tightening (BT) and branching strategies. We extend a branching technique originally developed for MILP, reliability branching, to the MINLP case. Motivated by the demand for open-source solvers for real-world MINLP problems, we have developed an sBB software package named couenne (Convex Over- and Under-ENvelopes for Non-linear Estimation) and used it for extensive tests on several combinations of BT and branching techniques on a set of publicly available and real-world MINLP instances. We also compare the performance of couenne with a state-of-the-art MINLP solver. © 2009 Taylor & Francis.
Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Heng Cao, Haifeng Xi, et al.
WSC 2003
Vladimir Yanovski, Israel A. Wagner, et al.
Ann. Math. Artif. Intell.