The document discusses using response surface methodology and the Taguchi method to optimize engine performance parameters including hydrogen percentage, nanoparticles, ignition pressure, and ignition timing. The study found that 25% engine load, 20% hydrogen, 50 ppm nanoparticles, 220 bar ignition pressure, and 31 degrees before top dead center ignition timing optimized brake thermal efficiency while minimizing emissions and fuel consumption. Validation tests found the response surface methodology models' predictions to be within acceptable error ranges of experimental results. The methodology can be applied to further optimize additional variables and develop a more holistic engine performance model.