  In this paper, we investigate the link-layer rate of a two-users
non-orthogonal multiple access (NOMA) network in finite blocklength (short
packet communications) regime, where the two users are paired from a set of V
users. The overall reliability consists of the transmission error probability
and the queuing delay violation probability. The performance of the two-users
NOMA network in finite blocklength is verified for achieving latency and
reliability, using the effective capacity (EC) framework. Specifically, we
derive closed-form expressions for the EC of the two-users NOMA network in
finite blocklength regime, considering transmissions over Rayleigh fading
channels. We also study a multiuser NOMA network and derive the total EC of
two-users NOMA subsets, and show that the NOMA set with users having distinct
channel conditions achieve maximum total EC. Focusing on a two-users NOMA
network, we study the impact of the transmit signal-to-noise ratio, delay
exponent, and transmission error probability, on the achievable EC of each
user. The analysis shows that when the delay exponent is high, the delay
violation probability does not improve below a certain value due to the
dominant factor of the transmission error probability. The accuracy of the
proposed closed-form expressions for the individual EC of a two-users NOMA is
verified using the Monte-Carlo simulations.
