Relations among the Queue-Length Probabilities in the Pre-Arrival, Random, and Post-Departure Epochs in the GI/M a, b /c Queue

Jing Gai () and Mohan Chaudhry
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Jing Gai: Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada
Mohan Chaudhry: Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada

Mathematics, 2024, vol. 12, issue 17, 1-8

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/M a , b /c.

Keywords: applied probability; bulk queue; multi-server; quorum; queue length; epochs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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