A heavy-traffic-limit formula for the moments of the stationary distribution in GI/G/1-type Markov chains-Reference-Cited by-同舟云学术

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A heavy-traffic-limit formula for the moments of the stationary distribution in GI/G/1-type Markov chains

Published:2021-11 Issue:6 Volume:49 Page:862-867
ISSN:0167-6377
Container-title:Operations Research Letters
language:en
Short-container-title:Operations Research Letters

Author:

Kimura Tatsuaki^ORCID,Masuyama Hiroyuki

Publisher

Elsevier BV

Subject

Applied Mathematics,Industrial and Manufacturing Engineering,Management Science and Operations Research,Software

Reference10 articles.

1. Applied Probability and Queues;Asmussen,2003

2. The heavy traffic limit of a class of Markovian queueing models;Asmussen;Oper. Res. Lett.,1987

3. Heavy traffic analysis of a random walk on a lattice semi-strip;Falin;Stoch. Models,1995

4. Heavy-traffic asymptotics for stationary GI/G/1-type Markov chains;Kimura;Oper. Res. Lett.,2012

5. Light-tailed asymptotics of GI/G/1-type Markov chains;Kimura;J. Ind. Manag. Optim.,2017

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Correct Approximation of Stationary Distributions;Tools and Algorithms for the Construction and Analysis of Systems;2023

2. A Mathematical Model for Cloud-Based Scheduling Using Heavy Traffic Limit Theorem in Queuing Process;Lecture Notes in Mechanical Engineering;2022-10-13

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