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

Author:

Gai Jing1ORCID,Chaudhry Mohan1

Affiliation:

1. Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada

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.

Funder

Royal Military College of Canada Professional Development Allocation

Publisher

MDPI AG

Reference11 articles.

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3. Chaudhry, M., and Gai, J. (2022). Analytic and Computational Analysis of GI/Ma,b/c Queueing System. Mathematics, 10.

4. Takacs, L. (1962). Introduction to the Theory of Queues, Oxford University Press.

5. Probabilities and some measures of efficiency in the queueing system GI/Ma,b/1;Chaudhry;Sel. Stat. Can.,1987

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