  As an attractive enabling technology for next-generation wireless
communications, network slicing supports diverse customized services in the
global space-air-ground integrated network (SAGIN) with diverse resource
constraints. In this paper, we dynamically consider three typical classes of
radio access network (RAN) slices, namely high-throughput slices, low-delay
slices and wide-coverage slices, under the same underlying physical SAGIN. The
throughput, the service delay and the coverage area of these three classes of
RAN slices are jointly optimized in a non-scalar form by considering the
distinct channel features and service advantages of the terrestrial, aerial and
satellite components of SAGINs. A joint central and distributed multi-agent
deep deterministic policy gradient (CDMADDPG) algorithm is proposed for solving
the above problem to obtain the Pareto optimal solutions. The algorithm first
determines the optimal virtual unmanned aerial vehicle (vUAV) positions and the
inter-slice sub-channel and power sharing by relying on a centralized unit.
Then it optimizes the intra-slice sub-channel and power allocation, and the
virtual base station (vBS)/vUAV/virtual low earth orbit (vLEO) satellite
deployment in support of three classes of slices by three separate distributed
units. Simulation results verify that the proposed method approaches the
Pareto-optimal exploitation of multiple RAN slices, and outperforms the
benchmarkers.
