Elucidating the short term loss behavior of Markovian-modulated batch-service queueing model with discrete-time batch Markovian arrival process
type: Item
instance of: scholarly article
title: Elucidating the short term loss behavior of Markovian-modulated batch-service queueing model with discrete-time batch Markovian arrival process
zbMATH Open document ID: 1407.90121
DOI: 10.1155/2014/814810
author: Yung-Chung Wang
author: Dong-Liang Cai
author: L. H. Chiang
author: Cheng-Wei Hu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper applies a matrix-analytical approach to analyze the temporal behavior of Markovian-modulated batch-service queue with discrete-time batch Markovian arrival process (DBMAP). The service process is correlated and its structure is presented through discrete-time batch Markovian service process (DBMSP). We examine the temporal behavior of packet loss by means of conditional statistics with respect to congested and noncongested periods that occur in an alternating manner. The congested period corresponds to having more than a certain number of packets in the buffer; noncongested period corresponds to the opposite. All of the four related performance measures are derived, including probability distributions of a congested and noncongested periods, the probability that the system stays in a congested period, the packet loss probability during congested period, and the long term packet loss probability. Queueing systems of this type arise in the domain of wireless communications.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 7017327
Wikidata QID: Q59069521
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/814810
OpenAlex ID: W2001007698
cites work: Statistical multiplexing of VBR sources: A matrix-analytic approach
cites work: Loss behavior in space priority queue with batch Markovian arrival process — discrete-time case
cites work: The stationary characteristics of the G/MSP/\(1/r\) queueing system
cites work: Analyzing the finite buffer batch arrival queue under Markovian service process: \(\mathrm{GI}^X /\mathrm{MSP}/1/\mathrm{N}\)
cites work: Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach
cites work: Loss pattern of \(\mathrm{DBMAP}/\mathrm{DMSP}/1/K\) queue and its application in wireless local communications
cites work: Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations
cites work: Analysis of a finite-buffer bulk-service queue with discrete-Markovian arrival process: D-MAP/Ga,b/1/N
cites work: Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
cites work: Q3961697
cites work: Queueing Theory for Telecommunications
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description: scientific article; zbMATH DE number 7017327