An \(M/G/1\)-type queuing model with service times depending on queue length

DOI10.1016/0307-904X(92)90098-NzbMath0764.60097OpenAlexW1974872083MaRDI QIDQ1208779

William J. Gray, MecKinley Scott, Pu. Wang

Publication date: 16 May 1993

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(92)90098-n

zbMATH Keywords

imbedded Markov chainqueueing modelmean queue lengthbonus service model

Mathematics Subject Classification ID

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

Related Items (8)

ANALYSIS OF A BULK QUEUE WITH FAST AND SLOW SERVICE RATES AND MULTIPLE VACATIONS ⋮ Markovian queueing models with periodic-review ⋮ Expected waiting times at loading stations in discrete-space closed-loop conveyors. ⋮ Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process ⋮ The \(M/M/c\) interdependent queuing model with controllable arrival rates. ⋮ Bilevel control of degraded machining system with warm standbys, setup and vacation ⋮ Queueing models with delayed state-dependent service times ⋮ The \(\text{M/M}^{a,b}/\text{C}\) interdependent queueing model with controllable arrival rates

Cites Work

• Sojourn and waiting times in a single-server system with state-dependent mean service rate
• Single server with linear state-dependent mean rate
• Level Crossings in Point Processes Applied to Queues: Single-Server Case
• A queuing process with bilevel hysteretic service‐rate control
• Queues with State-Dependent Stochastic Service Rates
• A queueing process with varying degree of service
• On One-For-One-Ordering Inventory Policies with State-Dependent Leadtimes

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