Upper Bounds for Single Server Queues with Doubly Stochastic Poisson Arrivals

DOI10.1287/MOOR.11.3.442zbMath0605.60079OpenAlexW2162523877MaRDI QIDQ3742461

Tomasz Rolski

Publication date: 1986

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.11.3.442

zbMATH Keywords

ergodic random intensitymean stationary delaymean stationary queue size

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (10)

Small work-load mode in a queueing system with random nonstationary intensity ⋮ Unnamed Item ⋮ Bounds and inequalities for single server loss systems ⋮ Dependence orderings for some functionals of multivariate point processes ⋮ 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 ⋮ Directionally convex ordering of random measures, shot noise fields, and some applications to wireless communications ⋮ Integration of Discrete-Time Correlated Markov Processes in a TDM System ⋮ Queuing systems with cyclic control processes

This page was built for publication: Upper Bounds for Single Server Queues with Doubly Stochastic Poisson Arrivals