Duality results for block-structured transition matrices

DOI10.1239/jap/1032374754zbMath0978.60082OpenAlexW2113935238MaRDI QIDQ4954237

Wei Li, Attahiru Sule Alfa, Yiqiang Q. Zhao

Publication date: 8 May 2001

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f1521d52f8f88bac9bec5d6a03d22839f3e4305e

zbMATH Keywords

dualityMarkov renewal processesblock structures

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (11)

Markov chain representations of discrete distributions applied to queueing models ⋮ Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ A heavy-traffic-limit formula for the moments of the stationary distribution in GI/G/1-type Markov chains ⋮ Stochastic monotonicity and comparability of Markov chains with block-monotone transition matrices and their applications to queueing systems ⋮ Heavy-traffic asymptotics for stationary GI/G/1-type Markov chains ⋮ Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type ⋮ On geometric and algebraic transience for block-structured Markov chains ⋮ The stationary tail asymptotics in the GI/G/1-type queue with countably many background states ⋮ BMAP/G/1 queue with correlated arrivals of customers and disasters. ⋮ Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type ⋮ Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains

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