## 1 Introduction  
The extension of laser beam cutting (LBC) as a cutting process in industrial processes is due to the advantages it generates. Laser beam processing allows for cutting a wide range of materials with different mechanical properties. The optimization of the cutting parameters, which results from the concentration of the laser beam in a very small point, on the surface of the material to be processed, will lead to faster processing of various materials with lower processing costs. The use of laser in cutting and processing metallic materials has been researched in many specialized works. [PERSON] et al. showed the effect of the focusing position on the induced heat affecting the laser-cut edges of 3-mm-thick stainless steel. The process parameters observed during cutting were speed, assistant gas pressure and focusing position. The latter has proven to be an important parameter if a high processing quality is to be achieved [1]. [PERSON] et al. shows that continuous heating of the semifirished part during oxygen-assisted cutting decreases the quality and generates material losses to thick metal plates, where the cutting speed is low. The cutting experiments took place on a soft steel with a thickness of 15 mm using a 4 KW power laser. Three methods were used to obtain high quality of the cut surface: optimizing the input parameters for preheated areas, using active cooling to eliminate heat excess and using active cooling to avoid heated regions [2]. [PERSON] et al. showed that the optimization of laser cutting parameters is necessary to obtain a quality cut at low cost, using a CO\({}_{2}\) laser on a soft material. This paper aims to calculate the cutting parameters to maximize the speed of melt removal taking into account the iterative algorithm [3]. [PERSON] et al. used a post-processing method by additive deposition for the parts manufacturing. The input parameters used in the experiment were: focal position, laser power and scanning speed. These were processed using statistical software to determine the regression functions of the cutting width. By optimizing the process parameters, an adequate quality of Kerf results [4]. [PERSON] et al. studied the effects of cutting angle, Z distance, laser power, scanning speed and pulsation frequency to observe the cutting width and surface roughness R\({}_{\text{a}}\) of a 1-mm-thick titanium part with engineering and medical applications [5]. [PERSON] et al. investigated the effect of the nozzle (size, diameter) on a high-pressure gas jet to improve laser cutting. The Schlieren view shows that the outlet jet from the supersonic nozzle has a constant flow, better dynamic properties and a gas flow with a longer length than the gas jet from the conical nozzle [6]. [PERSON] et al. analyzed the influence of the process parameters: cutting speed, laser power, sheet thickness, and distance between nozzle and part on the temperature in the cutting region for the Al 6061-T6 alloy. The results showed that the thickness of the sheet determined the values of the input parameters, while the change in power density led to a variation of the temperature in the cutting area, which means that power is the most influential factor on the quality of the cut surface [7]. [PERSON] et al. showed that CO\({}_{2}\) laser cutting is an economical manufacturing process for stainless steel. By applying the Box-Behneken design, the cutting experiment was designed according to the input parameters: laser power, cutting speed, auxiliary gas pressure, focusing position and nozzle diameter, to mathematically model the cutting width, R\({}_{\text{a}}\) surface roughness and operating cost. Mathematical optimization has indicated the best conditions for laser cutting to achieve high quality and low cost [8]. [PERSON] et al. recommended laser cutting of combined materials due to the properties of nickel and stainless steel. The study shows the effect of laser power and scanning speed on width, depth of cut and thermal stress.