Semi-Markov model of a single-server queue with losses and maintenance of an unreliable server

DOI10.1007/S10559-015-9754-5zbMath1325.60148OpenAlexW2338610305MaRDI QIDQ747315

A. I. Kovalenko, A. I. Peschanskij

Publication date: 23 October 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-015-9754-5

zbMATH Keywords

stationary distributionmaintenancesingle-server queueunreliable serversemi-Markov modelembedded Markov chainstationary characteristictwo-criteria optimization

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Optimal stochastic control (93E20) Markov renewal processes, semi-Markov processes (60K15)

Related Items (3)

Stationary characteristics of an unreliable single-server queueing system with losses and preventive maintenance ⋮ A semi-Markov model for an unreliable single-line loss queueing system with different restoration types ⋮ Stationary characteristics of an unreliable multi-server queueing system with losses and time redundancy

Cites Work

• A vacation queueing model with service breakdowns
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