Abstract: One of the most practical application of reliability as a function of time is a well stress-strength model were this model have several applications like Physics, engineering and components, so here, we introduce the Stress-Strength (S-S) reliability model for system contains one component denoted by [R = p(y<x)] where (y) is stress random variable and (x) is strength random variable were:

The studied model introduced represents reliability function for stress-strength model, assuming the components of stress and strength are independent and identically distributed as Exponentiated Weibull Distribution (EWD). The model of S-S derived and the reliability of it also found. Then estimating by maximum likelihood and least square methods. The comparison done through simulation using different sets of sample size (n, m) also different sets of initial values of (β₁, β₂, θ), all the results of comparison explained by tables.