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The Cuckoo Search Algorithm (CSA), while effective in solving complex optimization problems, faces limitations in random population initialization and reliance on fixed parameters. Random initialization of the population often results in clustered solutions, resulting in uneven exploration of the search space and hindering effective global optimization. Furthermore, the use of fixed values for discovery rate and step size creates a trade-off between solution accuracy and convergence speed. To address these limitations, an Enhanced Cuckoo Search Algorithm (ECSA) is proposed. This algorithm utilizes the Sobol Sequence to generate a more uniformly distributed initial population and incorporates Cosine Annealing with Warm Restarts to dynamically adjust the parameters. The performance of the algorithms was evaluated on 13 benchmark functions (7 unimodal, 6 multimodal). Statistical analyses were conducted to determine the significance and consistency of the results. The ECSA outperforms the CSA in 11 out of 13 benchmark functions with a mean fitness improvement of 30% across all functions, achieving 35% for unimodal functions and 24% for multimodal functions. The enhanced algorithm demonstrated increased convergence efficiency, indicating its superiority to the CSA in solving a variety of optimization problems. The ECSA is subsequently applied to optimize earthquake evacuation space allocation in Intramuros, Manila.

This study aims to analyze students' mathematical problem-solving abilities in the topic of Systems of Three Linear Equations (SPLTV) at SMA PGRI 4 Jakarta. The research employs a qualitative method with an approach that includes interviews and written tests. The subjects of the study consist of eleventh-grade students selected purposively. The results indicate that students have varying levels of understanding regarding SPLTV problems, with some students facing difficulties in comprehending word problems and applying appropriate solving methods. Nevertheless, most students are able to utilize substitution, elimination, and combination methods in solving problems. The study also finds that students tend not to check their answers, which can affect the accuracy of their results. Therefore, it is recommended that students adopt a more systematic approach in problem-solving and perform checks to enhance their confidence and answer accuracy.