ON THE VARIANCES OF SYSTEM SIZE AND SOJOURN TIME IN A DISCRETE-TIME DAR(1)/D/1 QUEUE

DOI10.1017/S0269964811000167zbMath1238.90050OpenAlexW2138752968MaRDI QIDQ2884252

Hung Chen, Daniel Wei-Chung Miao

Publication date: 24 May 2012

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964811000167

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (3)

Computational analysis of a Markovian queueing system with geometric mean-reverting arrival process ⋮ Second‐order performance analysis of discrete‐time queues fed by DAR(2) sources with a focus on the marginal effect of the additional traffic parameter ⋮ Queueing models for the analysis of communication systems

Cites Work

• A review of \(L=\lambda W\) and extensions
• Mean queue size in a queue with discrete autoregressive arrivals of order \(p\)
• Markov modulated Bernoulli process
• The analysis of a multiserver queue fed by a discrete autoregressive process of order 1
• A note on the discretization of Little's result
• Waiting-time distribution of a discrete-time multiserver queue with correlated arrivals and deterministic service times: \(D-MAP/D/k\) system
• On the exact analysis of a discrete-time queueing system with autoregressive inputs
• New results on the single server queue with a batch markovian arrival process
• Tail behavior of the queue size and waiting time in a queue with discrete autoregressive arrivals
• Deriving delay characteristics from queue length statistics in discrete-time queues with multiple servers
• The complete analysis of the discrete time finite DBMAP/G/1/N queue
• The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1
• Relationship between queue length and waiting time in a stationary discrete-time queue
• The Distributional Little's Law and Its Applications
• A Generalization of L = λW to Moments of Queue Length and Waiting Times

This page was built for publication: ON THE VARIANCES OF SYSTEM SIZE AND SOJOURN TIME IN A DISCRETE-TIME DAR(1)/D/1 QUEUE