The MacLaurin expansion for a \(G/G/1\) queue with Markov-modulated arrivals and services

DOI10.1007/BF01153530zbMath0780.60098MaRDI QIDQ688654

Yixin Zhu, Hu-An Li

Publication date: 30 January 1994

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

queueing systemnumerical algorithmMarkov-modulated arrivals and servicesmatrix recursive equation

Mathematics Subject Classification ID

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

Related Items (6)

Correlated queues with service times depending on inter-arrival times ⋮ Taylor series expansions for Poisson-driven (max,+)-linear systems ⋮ Approximations for the departure process of the G/G/1 queue with Markov-modulated arrivals ⋮ Taylor series expansions for stationary Markov chains ⋮ Higher order approximations for the single server queue with splitting, merging and feedback ⋮ Higher order approximations for tandem queueing networks

Cites Work

• Ladder heights and the Markov-modulated M/G/1 queue
• Martingale relations for the M/GI/1 queue with Markov modulated Poisson input
• Markov-modulated PH/G/1 queueing systems
• Markov-modulated queueing systems
• A Markov-modulated \(M/M/1\) queue with group arrivals
• Analyticity of single-server queues in light traffic
• The MacLaurin series for the GI/G/1 queue

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