Two classes of time-inhomogeneous Markov chains: Analysis of the periodic case

DOI10.1007/s10479-007-0300-3zbMath1144.60054OpenAlexW2103142156MaRDI QIDQ928208

Attahiru Sule Alfa, Barbara Haas Margolius

Publication date: 11 June 2008

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://engagedscholarship.csuohio.edu/scimath_facpub/245

zbMATH Keywords

discrete time queuesGI/M/1-typeM/G/1-typeperiodic transition probabilitiesqueues with time-varying parameterstime-homogeneous Markov chains

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (1)

The matrices R and G of matrix analytic methods and the time-inhomogeneous periodic quasi-birth-and-death process

Cites Work

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• Uniform acceleration expansions for Markov chains with time-varying rates
• Transient solution to the time-dependent multiserver Poisson queue
• A stable recursion for the steady state vector in markov chains of m/g/1 type
• Time-Inhomogenous Bulk Server Queue in Discrete Time: A Transportation Type Problem
• Non-Skip-Free M/G/1 and G/M/1 Type Markov Chains
• Two-Time-Scale Markov Chains and Applications to Quasi-Birth-Death Queues
• The periodic BMAP/PH/c queue

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