On the busy-period distributions of M/G/1/K queues by state-dependent arrivals and FCFS/LCFS-P service disciplines

DOI10.2307/3213958zbMath0576.60090OpenAlexW2316843367MaRDI QIDQ3696271

Ushio Sumita, J. George Shanthikumar

Publication date: 1985

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213958

zbMATH Keywords

recursion formulas stochastic ordering busy-period distributions queues with state- dependent arrival rates

Mathematics Subject Classification ID

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

Related Items (8)

Computational analysis of M(n)/G/1/N queues with setup time ⋮ Statistical inference for G/M/1 queueing system ⋮ \(M(n)/G/1/N\) queues with generalized vacations ⋮ A simple method to obtain the stochastic decomposition structure of the busy period in \(\mathrm{Geo}/\mathrm{Geo}/1/N\) vacation queue ⋮ Discrete-time Markov chains with two-time scales and a countable state space: limit results and queueing applications ⋮ MOMENTS OF THE DURATION OF BUSY PERIODS OF M^X/G/1/n SYSTEMS ⋮ Rare events in queueing systems -- A survey ⋮ Busy-period and blocking behavior of finite queues with state-dependent Markov renewal arrivals

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