scientific article; zbMATH DE number 3260373

zbMath0162.49302MaRDI QIDQ5546394

J. W. Cohen

Publication date: 1968

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1968__4_1_83_0

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zbMATH Keywords

probability theory

Related Items (15)

On the maximum workload of a queue fed by fractional Brownian motion. ⋮ Some exact expressions for the bulk-arrival queue \(M^ x/M/1\) ⋮ Estimates of the convergence rate in a limit theorem for geometric sums and some of their applications ⋮ On extreme values of the queue length in some queuing systems ⋮ Uniform asymptotics for compound Poisson processes with regularly varying jumps and vanishing drift ⋮ The idle period of the finite \(G/M/1\) queue with an interpretation in risk theory ⋮ Queueing theory ⋮ The stationary workload of the \(G/M/1\) queue with impatient customers ⋮ Scan statistics of Lévy noises and marked empirical processes ⋮ A limit theorem for extreme values of discrete random variables and its applications ⋮ On the extreme values of \(M/M/m\) queueing systems ⋮ The laws of iterated and triple logarithms for extreme values of regenerative processes ⋮ Equilibrium properties of the M/G/1 queue ⋮ Asymptotic behavior of extreme values of queue length in \(M/M/m\) systems ⋮ On extreme values of some regenerative processes

Cites Work

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• Single server queue with uniformly bounded virtual waiting time
• The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1

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