# A Brain Storm and Chaotic Accelerated Particle Swarm Optimization Hybridization
## 2 Background
### The BSO Algorithm
In such problems, calculating the value of the objective function for a single solution or a set of solutions can be a time-consuming process. This means that the process of optimization through a metaheuristic global optimization method (which traditionally evaluates the objective function several hundreds or thousands of times) can be very computationally demanding. Thus, the use of the proposed hybrid could be applicable and valuable for such cases. This is reinforced if the BSO-CAPSO hybrid is applied to classes of problems that are known to benefit from BSO or algorithms with similar behaviors and effectiveness. Furthermore, when the global best solution of the problem is unknown, and, instead, the goal of the global optimization is a solution that serves specific quality conditions and constraints, BSO-CAPSO could prove fairly valuable since it is noticeably less time consuming and it shows a tendency to discover high-quality local search areas after \(t_{switch}\), which is a point early in the iterative process. Even in case of a potential loss of accuracy (when compared to standalone BSO), BSO-CAPSO could be an advantageous trade-off if solutions of the desired quality are obtained in a significantly smaller amount of computational time. Finally, the hybrid's ability to discover high-quality local search areas early on is also promising for the future use of CAPSO hybridization, regarding the acceleration of optimization algorithms that utilize clustering or computationally heavy topologies for their exploration. Investigation, A.M. and N.L.T. ; methodology, A.M. and N.L.T. ; writing--review and editing, A.M. and N.L.T. All authors have read and agreed to the published version of the manuscript. This research received no external funding. Data Availability Statement: Data supporting reported results are available from the authors upon reasonable request. The authors declare no conflict of interest. The following abbreviations were used in this manuscript: \begin{tabular}{l l} PSO & particle swarm optimization; \\ BSO & brain storm optimization; \\ APSO & accelerated particle swarm optimization; \\ CAPSO & chaotic accelerated particle swarm optimization. \\ \end{tabular} 

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