The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution - and its application to continuous service time problems

DOI10.1016/0377-2217(91)90263-UzbMath0729.90043OpenAlexW1976527925MaRDI QIDQ806661

N. E. Zubov

Publication date: 1991

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(91)90263-u

zbMATH Keywords

numerical solutionmulti-server queueinhomogeneous arrival rate

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (7)

Time-dependent analysis of virtual waiting time behaviour in discrete time queues ⋮ Analysis of an \(M/\{D_{n}\}/1\) retrial queue ⋮ A Time-Dependent Spatial Queueing Model for the Daily Deployment of Airtankers for Forest Fire Control ⋮ Appointment scheduling with multiple providers and stochastic service times ⋮ A stochastic programming model for service scheduling with uncertain demand: an application in open-access clinic scheduling ⋮ Analytical distribution of waiting time in the M/\{iD\}/1 queue ⋮ The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution - and its application to continuous service time problems

Uses Software

• NAG
• nag

Cites Work

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• The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution - and its application to continuous service time problems
• The single server queue with inhomogeneous arrival rate and discrete service time distribution
• An approximation of known accuracy for single server queues with inhomogeneous arrival rate and continuous service time distribution
• A maximum entropy analysis of the M/G/1 and G/M/1 queueing systems at equilibrium
• On the single-server queue with non-homogeneous Poisson input and general service time
• Steady State Solution of the Queue M/E_k/r

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