A Moment Approach for a Conditional Central Limit Theorem of Infinite-Server Queue: A Case of M/MX/∞ Queue
Author:
Affiliation:
1. Graduate School of Science and Technology, University of Tsukuba, Tsukuba 305-8577, Japan
2. Institute of Systems and Information Engineering, University of Tsukuba, Tsukuba 305-8577, Japan
Abstract
Funder
JSPS KAKENHI
JST SPRING
F-MIRAI: R&D Center
University of Tsukuba
Toyota Motor Corporation collaborative R&D center
Publisher
MDPI AG
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Link
https://www.mdpi.com/2227-7390/11/9/2088/pdf
Reference12 articles.
1. A central limit theorem for Markov-modulated infinite-server queues;Blom;Analytical and Stochastic Modeling Techniques and Applications, Lecture Notes in Computer Science,2013
2. A functional central limit theorem for a Markov-modulated infinite-server queue;Anderson;Methodol. Comput. Appl. Probab.,2016
3. Functional central limit theorems for Markov-modulated infinite-server systems;Blom;Math. Methods Oper. Res.,2016
4. Analysis of Markov-modulated infinite-server queues in the central-limit regime;Blom;Probab. Eng. Informational Sci.,2015
5. The M/G/∞ Queue in random environment;Nazarov;Information Technologies and Mathematical Modelling, Communications in Computer and Information Science,2014
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