Queues with non-stationary input stream: Ross's conjecture

DOI10.2307/1426787zbMath0462.60090OpenAlexW2319234713WikidataQ56912940 ScholiaQ56912940MaRDI QIDQ3911829

Tomasz Rolski

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2307/1426787

zbMATH Keywords

doubly stochastic Poisson processergodic stabilitybound for delayfifo single-server queuenon-stationary arrivalsstationary delay

Mathematics Subject Classification ID

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

Related Items (16)

Stationary regimes for inventory processes ⋮ Stability of a GI/G/1 Queue: A Survey ⋮ Comparison conjectures about the M/G/s queue ⋮ Minimizing the Maximum Expected Waiting Time in a Periodic Single-Server Queue with a Service-Rate Control ⋮ Bounds and inequalities for single server loss systems ⋮ A Rare-Event Simulation Algorithm for Periodic Single-Server Queues ⋮ Computational methods in risk theory: a matrix-algorithmic approach ⋮ Assessing an ambulance service with queuing theory ⋮ On the severity of ruin in a Markov-modulated risk model ⋮ A NOTE ON THE INCREASING DIRECTIONALLY CONCAVE MONOTONICITY IN QUEUES ⋮ The untraceable events method for absorbing processes ⋮ Applications of stochastic modeling in air traffic management: methods, challenges and opportunities for solving air traffic problems under uncertainty ⋮ Stochastic Bounds for Queueing Systems with Multiple On–Off Sources ⋮ Limit theorems for queueing systems with doubly stochastic Poisson arrivals (heavy traffic conditions) ⋮ Queues with nonstationary inputs ⋮ Integration of Discrete-Time Correlated Markov Processes in a TDM System

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