Tail asymptotics for M/G/1 type queueing processes with subexponential increments
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Publication:1975030
DOI10.1023/A:1019172028316zbMath0955.60071OpenAlexW1543814867MaRDI QIDQ1975030
Jakob R. Møller, Soren Asmussen
Publication date: 30 March 2000
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019172028316
subexponential distributionstail asymptoticsM/G/1 queueregenerationcycle maximumbivariate Markov modulated processlevel process
Discrete-time Markov processes on general state spaces (60J05) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)
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A local limit theorem for random walk maxima with heavy tails ⋮ Discrete and continuous time modulated random walks with heavy-tailed increments ⋮ Tandem queues with subexponential service times and finite buffers ⋮ Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type ⋮ A General Class of Closed Fork and Join Queues with Subexponential Service Times ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications ⋮ TAIL PROBABILITIES IN QUEUEING PROCESSES ⋮ Tail asymptotics for M/G/1-type queueing processes with light-tailed increments ⋮ Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains ⋮ Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type ⋮ Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains ⋮ Tail behaviour of the area under the queue length process of the single server queue with regularly varying service times ⋮ Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains
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