New transient solution to the M/M/\(\infty\) queue with varying arrival and departure rate

DOI10.1016/S0096-3003(02)00007-3zbMath1021.60077OpenAlexW2077500655MaRDI QIDQ1856000

Fawziah M. Al-Ibraheem, Ragab Omarah Al-Seedy

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00007-3

zbMATH Keywords

Poisson arrivalsinfinite server queuesexponential service times

Mathematics Subject Classification ID

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

Related Items (1)

On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical methods in Markov chains and bulk queues
• Investigation of waiting time problems by reduction to Markov processes
• A Waiting Line Process of Markov Type
• The M/M/∞ Queue with Varying Arrival and Departure Rates
• On the single-server queue with non-homogeneous Poisson input and general service time
• On infinite server queues with batch arrivals

This page was built for publication: New transient solution to the M/M/\(\infty\) queue with varying arrival and departure rate