A posteriori direction selection rules for interval optimization methods

A posteriori direction selection rules are studied for interval global optimization methods to allow the user to choose the one best fitting for the problems at hand. Earlier interval subdivision direction selection rules involved easy to use a priori selection rules with more or less argumentation why they can be appropriate. Although extensive computational investigations were made on the five most often used selection rules, the underlying reasons why these can improve the efficiency of the optimization algorithms remained unknown. The present paper aims to contribute to the understanding of the functioning of these interval subdivision direction selection rules.