A Moment Approach for a Conditional Central Limit Theorem of Infinite-Server Queue: A Case of M/M<i><sup>X</sup></i>/<i>∞</i> Queue

A Moment Approach for a Conditional Central Limit Theorem of Infinite-Server Queue: A Case of M/M<i><sup>X</sup></i>/<i>∞</i> Queue

Several studies have been conducted on scaling limits for Markov-modulated infinite-server queues. To the best of our knowledge, most of these studies adopt an approach to prove the convergence of the moment-generating function (or characteristic function) of the random variable that represents a sc...

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Bibliographic Details
Main Authors: Ayane Nakamura , Tuan Phung-Duc 
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
queueing model
infinite server
asymptotic analysis
weak law of large numbers
central limit theorem
moment approach
Online Access:https://www.mdpi.com/2227-7390/11/9/2088

Internet

https://www.mdpi.com/2227-7390/11/9/2088

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