Relations among the Queue-Length Probabilities in the Pre-Arrival, Random, and Post-Departure Epochs in the GI/M^{<i>a</i>,<i>b</i>}/c Queue

Abstract

In this paper, we present research results that extend and supplement our article recently published by MDPI. We derive the closed-form relations among the queue-length probabilities observed in the pre-arrival, random, and post-departure epochs for a complex, bulk-service, multi-server queueing system GI/Ma,b/c.

Keywords

• applied probability
• bulk queue
• multi-server
• quorum
• queue length
• epochs