Equilibrium properties of the M/G/1 queue

DOI10.1007/BF00531567zbMath0464.60089OpenAlexW1967410648MaRDI QIDQ3915771

Soren Asmussen

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00531567

zbMATH Keywords

asymptotic resultsgeometrical approximationlarge virtual waiting times

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Buffer overflow period in a MAP queue ⋮ Remarks on the remaining service time upon reaching a target level in the \(M/G/1\) queue ⋮ On the loss process in a batch arrival queue ⋮ Conditional Ages and Residual Service Times in the M/G/1 Queue ⋮ Joint distribution of sojourn time and queue length in the M/G/1 queue with (in)finite capacity ⋮ Sampling at subexponential times, with queueing applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On regenerative processes in queueing theory
• Asymptotic relations in queueing theory
• Regenerative stochastic processes
• Waiting Times When Queues are in Tandem
• Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time
• Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue
• Extreme Values in the GI/G/1 Queue
• Existence of Limits in Regenerative Processes
• Weak convergence of probability measures and random functions in the function space D[0,∞)
• Some results on regular variation for distributions in queueing and fluctuation theory