The single server queue with inhomogeneous arrival rate and discrete service time distribution

DOI10.1016/0377-2217(85)90259-0zbMath0573.60090OpenAlexW1971862352MaRDI QIDQ1062688

D. J. Worthington, Sunday E. Omosigho

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0377-2217(85)90259-0

zbMATH Keywords

recurrence relationsinhomogeneous arrival ratesingle server queueing systemdistribution of the number of customersdiscrete service time distributioninhomogeneous Markov

Mathematics Subject Classification ID

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

Related Items (5)

Practical methods for queue length behaviour for bulk service queues of the form \(M/G^{0,C}/1\) and \(M(t)/G^{0,C}/1\) ⋮ An approximation of known accuracy for single server queues with inhomogeneous arrival rate and continuous service time distribution ⋮ Time-dependent analysis of virtual waiting time behaviour in discrete time queues ⋮ A queueing model to study the occurrence and duration of ozone exceedances in Mexico City ⋮ The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution - and its application to continuous service time problems

Cites Work

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• A Single-Server Queue with Cyclostationary Arrivals and Arithmetic Service
• Approximating the Behavior of Nonstationary Single-Server Queues
• The discrete-time single-server queue with time-inhomogeneous compound Poisson input and general service time distribution
• On the single-server queue with non-homogeneous Poisson input and general service time
• The single server queue in discrete time‐numerical analysis I
• The single server queue in discrete time‐numerical analysis III

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