Abstract:
Since information in engineering design problems can be both quantitative (QT)
and qualitative (QL) in nature, combining both types of information can result
in more realistic solutions for real world optimisation problems. However, most
of the approaches reported in the literature are incapable of conducting
optimisation searches in such a mixed environment. Therefore this report
proposes a mathematically proven methodology for handling integrated QT and QL
search space in real world optimisation problems. The report begins by
presenting the definition of these optimisation problems, an analysis of the
challenges that they pose for existing optimisation strategies and related
research. The report then presents the proposed solution strategy and the
mathematical proof. Furthermore, a case study on a rod rolling problem is
presented to validate the effectiveness of the proposed methodology. The report
concludes with a brief outline of limitations and future research activities.
