On Queueing Models for the Performance Analysis of a Vehicular Ad Hoc Network

In this paper, we study a Vehicular Ad Hoc Network (VANET) and examine two queueing theory models, namely the M/M/c and the M(N)/M/c models, for the determination of various performance metrics including the system's waiting time, the throughput and number of resources required to meet users' needs. Such performance metrics are significant for the performance evaluation of a VANET since they can be used by telecom engineers to ensure the required quality of service. Both queueing models have been studied under two scenarios: a) a vehicle communicates with a gNodeB directly (vehicle-to-infrastructure communication) and b) a vehicle communicates with other vehicles on the road (vehicle-to-vehicle communication) in order to transmit indirectly its request to the destination gNodeB. Under both scenarios we show that the M(N)/M/c model provides better results both in terms of throughput and delay.