An analysis of the \(M/G/1\) retrial queue with negative arrivals using a martingale technique

DOI10.1007/s10958-013-1628-7zbMath1305.60092OpenAlexW2080423010MaRDI QIDQ487085

Yong-Cai Geng, Sumit K. Garg

Publication date: 19 January 2015

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1628-7

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Martingales with continuous parameter (60G44)

Cites Work

• Direct martingale arguments for stability: The M/G/1 case
• Dynamic, transient and stationary behavior of the M/GI/1 queue via martingales
• A classified bibliography of research on retrial queues: Progress in 1990--1999
• Product-form queueing networks with negative and positive customers
• On a single server queue with negative arrivals and request repeated
• A Combinatorial Method in the Theory of Queues

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