Abstract
The call holding time distribution in cellular systems is one of the main parameters that are used to study and analyze several system performance measures. Several statistical distributions have been used in the literature to model the call holding time distribution in 3rd and 4th generations cellular systems, such as exponential, Erlang, Gamma, and generalized Gamma. In practice, the call holding time is affected by several factors such as the service plan, the class of the service area, and some of the system design parameters, however, the parameters of the distributions used to model the call holding time were assumed, and the effects of some factors on the call holding time are eliminated. In this paper, we derived the probability density function of the call holding time based on actual data taken at Tabouk city, Saudi Arabia, from the working Aljwal network which is a 3.5G cellular network operated by Saudi Telecommunications Company, then the probability density function of the call holding time is approximated by gamma distribution and its parameters are derived using Maximum Likelihood Estimation.