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A computational comparison of branch and bound and outer approximation algorithms for 0–1 mixed integer nonlinear programs

Computers & Operations ResearchPublished 1 August 1997
Brian Borchers, John E. Mitchell
Citations43
SJR quartileQ1
SJR score1.60
SNIP2.02

TL;DR

This paper compares the performance of two codes for convex 0–1 mixed integer nonlinear programs on a number of test problems and demonstrates that both approaches are generally capable of solving the test problems.

Abstract

In this paper we compare the performance of two codes for convex 0–1 mixed integer nonlinear programs on a number of test problems. The first code uses a branch and bound algorithm. The second code is a commercially available implementation of an outer approximation algorithm. The comparison demonstrates that both approaches are generally capable of solving the test problems. However, there are significant differences in the robustness of the two codes and their performance on different classes of problems.

Keywords

MathematicsEngineering