Remark about Transition Probabilities Calculation for Single Server Queues with Lognormal Inter-Arrival or Service Time Distributions

Moon Ho LEE; Alexander DUDIN; Alexy SHABAN; Subash Shree POKHREL; Wen Ping MA

doi:10.1093/ietcom/e91-b.3.904

IEICE Transactions on Communications

Online ISSN : 1745-1345
Print ISSN : 0916-8516

Regular Section

Remark about Transition Probabilities Calculation for Single Server Queues with Lognormal Inter-Arrival or Service Time Distributions

Moon Ho LEE, Alexander DUDIN, Alexy SHABAN, Subash Shree POKHREL, Wen Ping MA

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Keywords: Markov chain, Poison arrival process, log normal distribution Pareto distribution, Laplace transform

JOURNAL RESTRICTED ACCESS

2008 Volume E91.B Issue 3 Pages 904-906

DOI https://doi.org/10.1093/ietcom/e91-b.3.904

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Abstract

Formulae required for accurate approximate calculation of transition probabilities of embedded Markov chain for single-server queues of the GI/M/1, GI/M/1/K, M/G/1, M/G/1/K type with heavy-tail lognormal distribution of inter-arrival or service time are given.

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