## 1 Introduction  
Because of aggressive needs in the marketplace, mechanical products might be designed to be desired functioning and high reliability. After the system designs are assessed before launching, new attributes are swiftly integrated into a product and brought to the market. The application of all these newly developed features affects a wide range of customer sectors where structural safety is a major concern: automobile, refrigerator, airplane, nuclear power plants, civil or naval structures, etc. With either restricted trial or no evident apprehension of how introduced design traits can be employed by the end-user, system introductions with design flaws can badly affect the manufacturer's brand [1]. To transmit torque and speed, a gear system of an auger motor utilized in a refrigerator ice-maker is a rotating circular mechanical part having cut teeth, which mesh with another (compatible) toothed component. The advantages of gear drive are an exact velocity ratio, large powers, lofty efficiency, reliable service, and compact layout. On the other hand, the manufacture of gears requires particular tools and apparatuses. If there is a mistake in the cutting teeth, it causes vibration and noise in functioning. The basic operation of gears is analogous to that of levers. That is, the auger motor assembly including the gear system is designed to crush the ice through a greater rotational torque by decelerating speed through a plurality of driven gears interlocked with a drive pinion gear installed in the input shaft. To stop a gear system from being unsuccessful in the field before its expected lifetime, a company should prove the new gear combined with appropriate ISO Standards [2; 3] and an information sheet [4] and/or properly carry out reliability testing before the product is launched. The Boeing 737 MAX passenger aircraft from March 2019 to December 2020 was grounded after 346 persons lost their life in pair crashes. The airplanes adopted the CFM International LEAP-1B engines using the optimized 68-inch fan design; these engines consumed 12% less fuel and were 7% lighter than other engines [5]. Investigators including the Ethiopian Civil Aviation Authority had tentatively deduced that the crash was created by the aircraft's design-engine. To secure a product is not unsuccessful in the market, problematic parts need to be recognized and altered by utilizing a systematic testing method-parametric ALT, which may generate reliability quantitative (RQ) statements [6]. Product material flaws, such as cracks, notches, local thin areas, etc., when subjected to repetitive (impact) loads, can cause fatigue to occur. Fatigue is the main origin of the lack of success in metallized components, describing approximately 80-95% of whole structural failures or economic losses [7]. That is, fatigue in metals becomes visible in the form of cracks, which develop in regions that stress may collect, such as grooves, sharp-edged, holes, etc., and propagate it. Structural failures in any of these sectors may have evident serious consequences in terms of human lives and environmental disasters. It is necessary to understand the different mechanisms generating critical and subcritical processes in the structural materials and to develop assessment techniques and management procedures for the corresponding structures. In order to avoid these structural failures, the ALT integrated with the reliability block diagram has been carried out as an alternative method for solving product problems [8]. It covered a test scheme for the product, recognizing failure mechanics' fracture and fatigue and utilizing sample size formulation, elevated loads, etc. [PERSON] [9] grouped statistical, statistics/physics, and experimental/physics--accepted mock-ups for failure model. [PERSON] [10] proposed numerous empirical procedures to make arrangements for an ALT.