Characterization theorem on losses in $GI^X/GI^Y/1/n$ queues

TL;DR

This paper establishes a characterization theorem for the number of losses during a busy period in a specific queueing system with NWUE interarrival times, enhancing understanding of loss behavior in such queues.

Contribution

It introduces a new characterization theorem for losses in $GI^X/GI^Y/1/n$ queues with NWUE interarrival times, providing theoretical insights into loss processes.

Findings

The theorem precisely describes loss behavior during busy periods.

Results apply to queues with NWUE interarrival distributions.

Provides a foundation for further analysis of loss processes.

Abstract

In this paper, we prove a characterization theorem on the number of losses during a busy period in $GI^X/GI^Y/1/n$ queueing systems, in which interarrival time distribution belongs to the class NWUE.