Approximate Markovian model for delay behavior of internet router under self – similar traffic input

DOI10.1080/09720502.2011.10700754zbMath1226.68011OpenAlexW2321666288MaRDI QIDQ3100344

Malla Reddy Perati, L. P. Rajkumar, D. Mallikarjuna Reddy

Publication date: 24 November 2011

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.connectjournals.com/file_html_pdf/1144603H_06_JIM_T31_14-3_pp321-329a.pdf

zbMATH Keywords

Markovian arrival processwaiting time distributionmean waiting timeself-similar trafficMarkovian modulated Poisson process

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Reliability, testing and fault tolerance of networks and computer systems (68M15) Internet topics (68M11)

Cites Work

• On approximating higher order MAPs with MAPs of order two
• Practical time-scale fitting of self-similar traffic with Markov-modulated Poisson process
• New results on the single server queue with a batch markovian arrival process

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