## 1 Literature Review
Using experimental data and regression analysis, a multi-parameter optimization of the diamond burnishing process was conducted, and optimal factor values were determined. Based on these optimized values, surface integrity indicators of the diamond-burnished CuAl8 Fe3 samples were quantified. The results confirmed that diamond burnishing is feasible for CuAl8 Fe3 bronze, resulting in favorable combinations of surface texture height and shape parameters. The burnished specimens showed significant improvement in both fatigue strength and wear resistance. A review of the relevant literature revealed five essential criteria necessary for constructing a reliable finite element model [53]. The finite element method was used to evaluate substantial plastic deformation in subsurface layers, which has a pronounced effect on the surface integrity and, consequently, the operational performance of metal components. A comprehensive study by [PERSON] et al. [61] addressed the effects of cryogenic and cooled burnishing on surface integrity and operational performance. At cryogenic temperatures (below \(-180\)\({}^{\circ}\)C), metallic materials undergo structural changes that typically enhance service life. This practice, widely studied in recent decades, is referred to as cryogenic treatment and can be integrated as an auxiliary process in conventional metalworking. The study presented analyses and summaries of the impact of cryogenic burnishing on surface integrity and performance of the treated materials. In another article, [PERSON] et al. [62] investigated the relationship between surface integrity and the operational behavior of components subjected to sliding friction diamond burnishing. They classified various burnishing methods and analyzed the technique based on significant surface plastic deformation, where the burnishing tool maintains sliding frictional contact with the treated surface. A comprehensive literature review of theoretical and practical results was conducted, with a triangular diagram used to graphically represent the findings. The vertices of the triangle corresponded to sliding friction burnishing, surface integrity, and operational behavior. Based on this analysis, relevant conclusions were drawn and promising directions for future investigations were outlined. In addition to the use of well-known optimization methods, the search for new methods often arises, and methods that are currently less widely used are also welcome. One such method is the application of Kraljic matrices. With the help of Kraljic matrices, it is possible to clearly demonstrate which parameter values have a significant or less significant effect on the process, as well as which parameter value combinations are expected to produce the best solution. This method is also successfully used in areas, disciplines, and industries such as business [64], supplier selection [65; 66], cleaner production [67], the chemical industry [68; 69], and the food industry [70]. The Kraljic method is often used to select the best parameter combination when it is not possible or difficult to write down the aim function to be used for optimization. In this case, finding the appropriate quadrant of the parameter combinations helps to determine the best parameter combinations. In this case, however, the application of factorial experimental design is a good method. Of course, other methods, such as the ANOVA method, could have been used, as we used in our research on the burnishing of a flat surface [71], but now we intend to choose a different method. Figure 1 shows the structure of this paper.