We investigate the total optical dielectric function (TODF) of impurity doped QDs under the combined influence of hydrostatic pressure (HP) and temperature and in presence of Gaussian white noise. Noise has been incorporated to the system additively and multiplicatively. Variations of HP, temperature and noise strength affect TODF profile in subtle way. And the subtlety also depends on mode of application of noise. Extrapolation of the present study would be important in understanding the effective optical properties of the system under given conditions of HP and temperature and in presence of noise. (C) 2016 Elsevier B.V. All rights reserved.