\(Geom/G_{1}, G_{2}/1/1\) repairable Erlang loss system with catastrophe and second optional service

DOI10.1007/s11424-011-8339-2zbMath1233.90134OpenAlexW2396572873MaRDI QIDQ646740

Cailiang Li, Ying-Hui Tang, Miao-Miao Yu

Publication date: 17 November 2011

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-011-8339-2

zbMATH Keywords

catastrophesecond optional servicediscrete supplementary variable techniqueErlang loss systemrepairable queueing system

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (1)

A novel analytic technique for the service station reliability in a discrete-time repairable queue

Cites Work

• Queue-length and waiting-time distributions of discrete-time \(\text{GI}^X/\text{Geom}/1\) queueing systems with early and late arrivals
• Analysis of the discrete-time \(GI/\text{Geom}(n)/1/N\) queue
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