## 1 Introduction
Fatigue failures also depend on measurable factors such as the cyclic stress amplitude, mean stress, or stress ratio, R (= \(\sigma_{\min}/\sigma_{\max}\)), which might be expressed as the ratio of the minimum cyclic stress to the maximum cyclic stress [12]. Utilizing an elevated load ratio which may be expressed as an accelerated factor (AF) may help identify the design flaws such as stress raisers in the structural component. Any design defects might be identified and altered by the Taguchi approach [13] or design of experiments (DOE) [14] before a commercially manufactured good is delivered. However, these approaches demand large computations for optimal solutions. However, they might not be useful because they may not identify an underlying failure mechanism such as fatigue. If there are design defects which create a lack of stiffness (or strength) when a system is subjected to repeat loading, the system will be unsuccessful before its expected life due to fatigue. Engineers have often used traditional design aspects such as strength of materials [15; 16]. A recent fracture mechanics investigation [17; 18] showed that the key components might be fracture toughness as an alternative of strength as an applicable material property. With the use of quantum mechanics in the electronic industry, designers have identified that product failures occur from micro-void coalescence (MVC). This type of failure is also observed in a great number of engineering plastics or metallic alloys. To better identify the failures in a mechanical system, a life-stress model [19] might be integrated with a conventional design perspective and connected to failure of electronic elements due to a pre-existing defect or little crack. This process would not be practical for use in a finite element method (FEM) approach [20; 21]. To evaluate product failures, there is another engineering viewpoint which can be used along with the FEM. Several engineers have proposed that rare system failures might be assessed by: (1) rigorous modeling such as Newtonian or Lagrangian techniques; (2) getting its time response for (dynamic) loads, acquiring the system stress/strain from it; (3) making use of the rain-flow counting procedure for von-Mises stress [22; 23]; (4) estimating product damage by the Palmgren-Miner's rule [24]. Nevertheless, using a methodology which may provide closed-form, accurate solutions would require applying several assumptions which might not recognize multi-module system failures, due to material defects such as contacts, thin surface, micro-voids, etc., as subjected to repeated loading. This research presents parametric ALT as a systematic approach which may be used to recognize design faults of a newly designed mechanical structure and modify them. It includes: (1) an ALT scheme created on system BX lifetime, (2) load check for the ALT, (3) suitable modified ALTs with the revised designs, and (4) an appraisal of whether the newest design(s) of the system fulfils the targeted BX lifetime. We also suggested generalized time to failure model and sample size formulation. As a test investigation, a newly designed drawer system in a refrigerator subjected to repeated food loading is evaluated.