Case-Based Teaching on Designing and Realizing an Innovation Algorithm

This paper presents concepts on designing and realizing a novel algorithm which can be of significance for teaching purpose. In order to interpret novelty in any new algorithm, in this work a new conceptual case-based is introduced based on tree biomechanics. Firstly, core terminologies such as initialization, exploration and exploitation paradigm, and termination criterion are explained thoroughly. Moreover, a detailed mathematical formulation is constructed. Hence, the mathematical derivation and explanation on core algorithmic terminologies will be of high value in teaching and designing new algorithm. The stepwise procedure of mathematic is deduced for the experimental and statistical analysis. Thus, the experiment was carried out on 13 set of constrained benchmark optimization problems. Consequently, the results obtained by the proposed method are compared with results of other methods from the literature. The proposed method has shown effectiveness in solving constrained optimization problems and it is comparable or better than other methods in the literature.