Martingale methods for analyzing the \(M|_{M}|1\) retrial queue with negative arrivals

DOI10.1007/s10958-005-0430-6zbMath1416.60083OpenAlexW2067978203MaRDI QIDQ2255583

Yanyan Li

Publication date: 17 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0430-6

zbMATH Keywords

martingaleretrial queue

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Queueing theory (aspects of probability theory) (60K25)

Related Items (2)

Asymptotic Analysis of the MMРР|M|1 Retrial Queue with Negative Calls under the Heavy Load Condition ⋮ Retrial Queue M/M/1 with Negative Calls Under Heavy Load Condition

Cites Work

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• Single line queue with repeated demands
• Martingale relations for the M/GI/1 queue with Markov modulated Poisson input
• A survey of retrial queues
• Direct martingale arguments for stability: The M/G/1 case
• Dynamic, transient and stationary behavior of the M/GI/1 queue via martingales
• A new approach to the busy period of the M/M/1 queue
• Martingale methods for analysing single-server queues
• Stability and bounds for single server queues in random environment
• Sojourn times in single-server queues by negative customers
• Analysis of an M/G/1 queue with two types of impatient units
• A Combinatorial Method in the Theory of Queues

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