On the relationship between the distribution of maximal queue length in the M/G/1 queue and the mean busy period in the M/G/1/n queue

DOI10.2307/3212684zbMath0338.60063OpenAlexW4230899757MaRDI QIDQ4107302

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2307/3212684

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (7)

Analysis of a finite capacity non preemptive priority queue ⋮ Optimal control of a large dam with compound Poisson input and costs depending on water levels ⋮ A simple method to obtain the stochastic decomposition structure of the busy period in \(\mathrm{Geo}/\mathrm{Geo}/1/N\) vacation queue ⋮ MOMENTS OF THE DURATION OF BUSY PERIODS OF M^X/G/1/n SYSTEMS ⋮ On a stochastic survival model for a system under randomly variable environment ⋮ Continuity theorems for the \(M/M/1/n\) queueing system ⋮ Takács' asymptotic theorem and its applications: a survey

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