Queuing system with state-dependent controlled batch arrivals and server under maintenance

DOI10.1007/s11750-011-0196-6zbMath1263.60080OpenAlexW1991438260MaRDI QIDQ1939051

S. R. Anantha Lakshmi, S. Pavai Madheswari, B. Krishna Kumar

Publication date: 26 February 2013

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11750-011-0196-6

zbMATH Keywords

waiting timesteady stateadmission controlbusy periodMarkovian queuetransient probabilityserver maintenance

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

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• Transient analysis of a Markovian queue with chain sequence rates and total catastrophes
• Transient solution of a multiserver Poisson queue with \(N\)-policy
• Transient solutions for some exhaustive M/G/1 queues with generalized independent vacations
• Queueing systems with vacations - a survey
• Markov chain models - rarity and exponentiality
• Transient solution of an M/M/1 queue with catastrophes
• Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
• Transient behavior of the M/M/1 queue via Laplace transforms
• The transient solution of time-dependent M/M/1 queues
• Utilization of Idle Time in an M/G/1 Queueing System