Analysis of \(MAP / PH_1\), \(PH_2/2\) queue with working breakdown, starting failure, and Bernoulli vacation

DOI10.1007/978-981-19-0471-4_14OpenAlexW4226040169MaRDI QIDQ2091591

Yanyan Li

Publication date: 1 November 2022

Full work available at URL: https://doi.org/10.1007/978-981-19-0471-4_14

zbMATH Keywords

MAPvacationPH distributionstarting failureworking breakdown

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli vacations
• A finite capacity queue with Markovian arrivals and two servers with group services
• Analysis of \(\mathrm{MAP}/\mathrm{PH}_1,\mathrm{PH}_2/1\) queue with vacations and optional secondary services
• Markovian queue optimisation analysis with an unreliable server subject to working breakdowns and impatient customers
• A single-server queue with server vacations and a class of non-renewal arrival processes
• Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
• A versatile Markovian point process
• Introduction to Matrix Analytic Methods in Stochastic Modeling

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