Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli vacations
type: Item
instance of: scholarly article
title: Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli vacations
zbMATH Open document ID: 1157.90362
DOI: 10.1155/2008/396871
author: B. Krishna Kumar
author: V. Thangaraj
author: Ramasamy Rukmani
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2009-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/55195
review text: Summary: We consider a two-heterogeneous-server queueing system with Bernoulli vacation in which customers arrive according to a Markovian arrival process (MAP). Servers returning from vacation immediately take another vacation if no customer is waiting. Using matrix-geometric method, the steady-state probability of the number of customers in the system is investigated. Some important performance measures are obtained. The waiting time distribution and the mean waiting time are also discussed. Finally, some numerical illustrations are provided.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 5538665
Wikidata QID: Q58645912
MaRDI profile type: Publication
OpenAlex ID: W2139161000
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description: scientific article; zbMATH DE number 5538665