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

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.

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Journal
Mathematics
Published
2024-08-23
DOI
https://doi.org/10.3390/math12172609
Primary Topic
Advanced Queuing Theory Analysis
Type
article
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article

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

Jing Gai, M. L. Chaudhry
Mathematics
Advanced Queuing Theory Analysis
article

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

Jing Gai, M. L. Chaudhry
article en

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.

MathematicsVol. 12(17)
Royal Military College of Canada (CA)
Reduced inequalities
Openalex Percentile: Top 80%
Advanced Queuing Theory Analysis
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Relations among the Queue-Length Probabilities in the Pre-Arrival, Random, and Post-Departure Epochs in the GI/Ma,b/c Queue — Jing Gai, M. L. Chaudhry · Mathematics (2024) | TGRS Research Map | TGRS