Aug 2026· International Journal of Innovative Science and Research Technology· 0 citations· 12 references
TL;DR
The simplex method of linear programming is used to determine the optimal BS density that can consume the optimal power based on maximizing the service area and results show that although all the minimum powers and their respective BSs cover the entire service area, there is an optimal BS combination with an optimal power consumed.
Abstract
The fifth-generation (5G) networks will provide high capacities with less transmission delays. To meet these
features, it is depicted that these networks must be densified that is with many base stations (BSs) dominated by small BSs.
The BS density to be deployed in a network is a vital design issue since an inappropriate BS deployment could give rise to
displeasing consequences, such as excess interferences, void cells that is cells without users, excess power consumption and
operating costs since over 50% of the total cellular network energy consumption is by BSs. In this paper, the simplex method
of linear programming is used to determine the optimal BS density that can consume the optimal power based on maximizing
the service area. Using the cell edge conditions, we generate radii of the two cells and hence respective areas are determined.
Results show that although all the minimum powers and their respective BSs cover the entire service area, there is an optimal
BS combination with an optimal power consumed.
Stochastic models, including Markov and semi-Markov models, are introduced for base stations, aiding in frequency band selection based on system traffic considerations, and closed-form solutions for steady-state system size probabilities in these models are derived.
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