The transient solution of time-dependent M/M/1 queues

DOI10.1109/18.104335zbMath0738.60096OpenAlexW2022097839MaRDI QIDQ3987469

Edward J. Coyle, Ji Zhang

Publication date: 28 June 1992

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.104335

zbMATH Keywords

transient behaviortime-dependent queuesVolterra-type integral equation

Mathematics Subject Classification ID

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

Related Items (15)

On some time non-homogeneous queueing systems with catastrophes ⋮ A transient analysis to the \(M(\tau)/M (\tau)/k\) queue with time-dependent parameters ⋮ \(\mathrm{M}/\mathrm{M}/1\) queue in two alternating environments and its heavy traffic approximation ⋮ Periodic solution to the time-inhomogeneous multi-server Poisson queue ⋮ Time-dependent analysis of virtual waiting time behaviour in discrete time queues ⋮ Transient and steady-state analysis of hybrid arrivals of single and batch customers queueing systems with switch-off period ⋮ Queuing system with state-dependent controlled batch arrivals and server under maintenance ⋮ On finite capacity queues with time dependent arrival rates ⋮ Transient and periodic solution to the time-inhomogeneous quasi-birth death process ⋮ Asymptotic Fluid Optimality and Efficiency of the Tracking Policy for Bandwidth-Sharing Networks ⋮ Transient solution to the time-dependent multiserver Poisson queue ⋮ The matrices R and G of matrix analytic methods and the time-inhomogeneous periodic quasi-birth-and-death process ⋮ Time-dependent analysis for a two-processor heterogeneous system with time-varying arrival and service rates ⋮ On truncations for weakly ergodic inhomogeneous birth and death processes ⋮ Perfect sampling of a single-server queue with periodic Poisson arrivals

This page was built for publication: The transient solution of time-dependent M/M/1 queues