Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory

DOI10.1080/15326349908807170zbMath0744.60108OpenAlexW2021805693MaRDI QIDQ4712597

Vaidyanathan Ramaswami, Soren Asmussen

Publication date: 25 June 1992

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349908807170

zbMATH Keywords

duality theorem for phase type queuesduality theorem for the Markov renewal processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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A probabilistic algorithm for finding the rate matrix of a block-GI/M/1 Markov chain ⋮ From the matrix-geometric to the matrix-exponential ⋮ On the Dual Relationship Between Markov Chains of GI/M/1 and M/G/1 Type ⋮ Ramaswami's duality and probabilistic algorithms for determining the rate matrix for a structured GI/M/1 Markov chain ⋮ Stability for Fluid Queues: Characteristic Inequalities ⋮ Fluid Flow Models and Queues—A Connection by Stochastic Coupling ⋮ A duality relation for busy cycles in GI/G/1 queues ⋮ Markov chains with marked transitions ⋮ Markovian Trees Subject to Catastrophes: Would They Survive Forever? ⋮ Studying an overload system using rotation

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