The capture effect caused by some of power assignment, Rayleigh fading, and near-far effect, can improve the performance of random-access techniques in mobile radio environment. Moreover, if we consider the overall effect of them, the system performance can be noticeably improved. In this paper, the combined effect of fixed power assignment scheme, Rayleigh fading, and near-far effect on the performance of slotted ALOHA are studied. Plus, the performance degradation caused by AWGN is also investigated. The type of signal capture to be considered is the one that a signal involved in a collision survives if its power level exceeds the sum of the other signals participating in the same collision. Numerical calculations are used to demonstrate the degree of improvement and degradation.