The Marshall and Stoyan bounds for IMRL/G/1 queues are tight

DOI10.1016/0167-6377(82)90023-2zbMath0507.90038OpenAlexW2064139764MaRDI QIDQ1837622

Ward Whitt

Publication date: 1982

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(82)90023-2

zbMATH Keywords

approximationsGI/G/1 queuedecreasing failure ratemonotone mean residual lifebounds for the mean steady-state waiting time

Mathematics Subject Classification ID

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

Related Items (4)

Mean residual life ordering ⋮ Refining diffusion approximations for queues ⋮ The SPP/G/1 queue: A single server queue with a switched Poisson process as input process ⋮ Bedienungstheorie: Tendenzen und neuere Entwicklungen. (Servicing theory: Tendencies and new developments)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approximation formula \(L_q\cong\alpha\cdot\rho^\beta /(1-\rho)\)
• Markov chain models - rarity and exponentiality
• On Approximations for Queues, III: Mixtures of Exponential Distributions
• Some bounds for the mean waiting time in E_k/GX/1 Queues
• The effect of variability in the GI/G/s queue
• Inequalities for moments of tails of random variables, with a queueing application
• Some Inequalities in Queuing
• Monotonieeigenschaften der Kundenwartezeiten im Modell GI/G/1
• Some inequalities for the queue GI/G/1

This page was built for publication: The Marshall and Stoyan bounds for IMRL/G/1 queues are tight