Analytical Approximation of Packet Delay Jitter in Simple Queues

Delay jitter of data packets is known to be a crucial quality of service measure especially for real-time applications (e.g., VoIP). It takes place as a result of the queuing, scheduling, and routing latencies within the network. However, control schemes that directly tackle the jitter problem in today's advanced wireless systems are rare. To enable such schemes, proper modeling of the packet delay jitter is an essential preliminary step. This letter presents a comprehensive mathematical modeling for the packet delay jitter in a simple queuing system with one traffic buffer of infinite length, one server, and single hop. In contrast to independent and identically distributed models, our analysis focuses on the correlated nature of service intervals. The presented models study different scenarios and parameters for the queue in terms of the system's utilization and the probability distribution of data packets' service and interarrival times, respectively. Numerical simulations demonstrate the high accuracy achieved by the presented models.