Queues with nonstationary inputs

DOI10.1007/BF01149189zbMath0687.60082OpenAlexW1993164596MaRDI QIDQ1263171

Tomasz Rolski

Publication date: 1989

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01149189

zbMATH Keywords

continuityuniform integrabilitytightnesssingle server queuesdoubly stochastic Poisson inputgeneral nonstationary input stream

Mathematics Subject Classification ID

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

Related Items (18)

Conditions for finite moments of waiting times in \(G/G/1\) queues ⋮ Stationary regimes for inventory processes ⋮ THE IMPACTS OF CUSTOMERS’ DELAY-RISK SENSITIVITIES ON A QUEUE WITH BALKING ⋮ Ergodic theorems for extended real-valued random variables ⋮ Small work-load mode in a queueing system with random nonstationary intensity ⋮ Minimizing the Maximum Expected Waiting Time in a Periodic Single-Server Queue with a Service-Rate Control ⋮ Stabilizing performance in a single-server queue with time-varying arrival rate ⋮ Time-Varying Robust Queueing ⋮ A Rare-Event Simulation Algorithm for Periodic Single-Server Queues ⋮ Computational methods in risk theory: a matrix-algorithmic approach ⋮ A NOTE ON BOUNDS AND MONOTONICITY OF SPATIAL STATIONARY COX SHOT NOISES ⋮ The steady-state distribution of the $M_t / M / \infty$ queue with a sinusoidal arrival rate function ⋮ A Convexity Property of a Markov-Modulated Queueing Loss System ⋮ Networks of infinite-server queues with nonstationary Poisson input ⋮ Comparison Results for Markov-Modulated Recursive Models ⋮ Some results about the expected ruin time in Markov-modulated risk models ⋮ Queuing systems with cyclic control processes ⋮ On the stability of open networks: A unified approach by stochastic dominance

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