  5G new radio (NR) introduced flexible numerology to provide the necessary
flexibility for multiplexing the communication of heterogeneous services on a
shared channel. One of the fundamental challenges of 5G NR is to develop
resource allocation schemes to efficiently exploit such flexibility to optimize
resource allocation of ultra-reliable low-latency communications (URLLC) in
coexistence with enhanced mobile broadband (eMBB) while ensuring their
colliding performance requirements. To address this challenge, we present a new
formulation of 5G NR resource allocation to accommodate eMBB and URLLC
services, by considering their interplay. The objective of the formulated
problem is to meet throughput quality of service (QoS) requirements
probabilistically when the optimal global solution is infeasible. To this end,
we express the problem as an integer linear program and consider two
formulations with hard and soft URLLC throughput constraints. Furthermore, we
propose a low-complexity two-step heuristic approach, inspired by an instance
of bin packing optimization, to provide a trade-off between resource allocation
efficiency and computational complexity. Finally, performance results are
provided and demonstrate that the proposed approaches can provide
low-complexity resource allocation solutions, in balance with the performance
targets of the services.
