7. Conclusion
In this work, we proposed a consistent theoretical framework for wireless resource allocation to the users of multiple operators. Assuming a centralized scheduler at the BS, we formulated Multi-Operator Scheduling (MOS) as a convex optimization problem. By allowing the use of future channel states, we extended this formulation to Anticipatory Multi-Operator Scheduling (AMOS) and proved that MOS is a suboptimal case of AMOS. Both scheduling approaches allow to trade off sharing guarantees versus spectral efficiency by controlling the parameters maximum deviation and window size W. The rigorous analysis provided in this paper mathematically states the dependencies between these parameters and the system performance. We proved that the optimal utility monotonically increases with . In contrast, we proved that relaxing the constraint on W leads to a reduction of the utility with a probability that depends on the rate distribution. Simulation results confirm this analysis, characterize fairness among operators, provide insight into further interesting scenarios, and highlight the value of prediction for the AMOS formulation. We found that MOS and AMOS improve spectral efficiency without compromising fairness when operators have equal sharing ratios and users are equally distributed. The theorems and proofs in this paper provide a profound understanding of multi-operator scheduling. This new insight helps operators to understand the impact of resource sharing on their networks. Infrastructure providers can now offer flexible sharing agreements that match the sharing guarantees to the service requirements of a specific operator. This new degree in flexibility is particularly useful with the diverse set of operational parameters and service requirements in HetNets. In addition to this theoretical insight, our MOS formulation is highly practical, addressing the needs of the operators and having low computational complexity, and can be used to design sharing algorithms for today’s RANs without major architectural changes. It is our hope that this unique combination of theoretical insight and practical assumptions will lead to a fast implementation into future virtual Radio Access Network (RANs).