In this paper, we have determined the relaxation behavior of one dimensional dipolar chain with the Glauber dynamics both in time and frequency domains using Monte Carlo simulation. Two algorithms are developed to simulate the decay function for a single dipole and for the whole dipolar chain in the time domain. MC simulations of the whole dipolar chain show that both exponential and KWW type behaviors for the decay function phi(t) = exp[-(t/tau)(beta)] 0 < beta < 1 are possible. The frequency domain transformation is also computed by using the Fourier transform of the corresponding time domain response of the decay function which is obtained by MC simulations. We have determined the components of the normalized complex dielectric permittivity. The observed behavior of loss curves are in full agreement with experiments performed on glass-forming materials in which two loss curves - called alpha- and beta-relaxation processes - are observed. (C) 2007 Elsevier B.V. All rights reserved.