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In this paper, the technique of multiplicity was used to analyse GSM network capacity in Nigeria. An evaluation of Enhanced stochastic knapsack was used as an approach for resource sharing in multiservice by adopting the Erlang Loss Model in analyzing the SMS capacity. The offered traffic that is Lost Traffic based was used to dimension the system resources. To actualize this work, measurements were conducted in Benin City and Port Harcourt to determine the best signal characterization of the southern part of Nigeria. Based on the measurement data, a model was developed to predict the traffic intensity of the region. Comparisons were carried out on the different types of frequency hopping and the variant DFH based power was applied in improving the spectral efficiency of the network. The results showed that the spectral efficiency increased, as the number of cell per cluster decreased. The optimal value of the number of cell in the cluster caused reduced interference, since the reduced interference could allow the users to achieve higher rates.

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