Circular local search for unconstrained optimisation problems

In this paper, a heuristics algorithm to solve unconstrained optimisation problems (UOPs) in two dimensions is proposed. This algorithm is called as: circular local search (CLS); where it is an efficient local search. The algorithm starts with an arbitrarily chosen point in the search domain. Secondly, a radius of CLS is defined around the current search point; where any point in this region is feasible. Finally, by an angle with a decay step length, CLS can move from current search point to obtain a new base point. The radius and the angle of CLS are modified during the search. CLS is tested on evaluated by many benchmark problems taken from the literature. According to the obtained numerical results, the proposed method show that its robustness and effectiveness.