A Hybrid STA Based on Nelder–Mead Simplex Search and Quadratic Interpolation

State transition algorithm (STA) is a metaheuristic method for global optimization. However, due to the insufficient utilization of historical information, it still suffers from slow convergence speed and low solution accuracy on specific problems in later stages. This paper proposes hybrid STA based Nelder–Mead (NM) simplex search quadratic interpolation (QI). In exploration stage, NM utilizes information generate promising solutions. exploitation QI enhance local capacity. The proposed uses an eagle strategy maximize efficiency stability. successfully combines merits three distinct approaches: powerful capacity STA, fast strong QI. evaluated using 15 benchmark functions with dimensions 20, 30, 50 100. Moreover, results are statistically analyzed Wilcoxon signed-rank sum test. addition, applicability solve real-world assessed wireless sensor network localization problem. Compared six state-of-the-art methods, experimental demonstrate superiority effectiveness method.