In this paper, the production decisions across multiple energy suppliers insmart grid, powering cellular networks are investigated. The suppliers arecharacterized by different offered prices and pollutant emissions levels. Thechallenge is to decide the amount of energy provided by each supplier to eachof the operators such that their profitability is maximized while respectingthe maximum tolerated level of CO2 emissions. The cellular operators arecharacterized by their offered quality of service (QoS) to the subscribers andthe number of users that determines their energy requirements. Stochasticgeometry is used to determine the average power needed to achieve the targetprobability of coverage for each operator. The total average power requirementsof all networks are fed to an optimization framework to find the optimal amountof energy to be provided from each supplier to the operators. The generalized$\alpha$-fair utility function is used to avoid production bias among thesuppliers based on profitability of generation. Results illustrate theproduction behavior of the energy suppliers versus QoS level, cost of energy,capacity of generation, and level of fairness.
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