Some Further Results on Monotonicity in Globally Optimal Design
Pierre Hansen, Brigitte Jaumard, S. H. Lu · Journal of Mechanisms Transmissions and Automation in Design · 1989
Many problems of globally optimal design have been solved by using monotonicity analysis. Extended monotonicity principles are obtained by exploiting nonstrict monotonicity of the objective function and of the constraints. Ways to detect monotonicity and branching rules using monotonicity results are also discussed. Several illustrative examples from the literature are solved in an easier way than previously.