An M/G/1 type vacation queueing model with exceptional service for certain customers

DOI10.1016/0307-904X(89)90021-8zbMath0674.90032OpenAlexW2000827968MaRDI QIDQ1121767

William J. Gray, MecKinley Scott

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0307-904x(89)90021-8

zbMATH Keywords

waiting timePoisson processbusy periodqueueing modelM/G/1 queuestate probabilitiesvacation modelsexpected queue lengthbonus serviceexceptional servicehyperexponential distributionspartial generating functions

Mathematics Subject Classification ID

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

Related Items (1)

M/G/l queuing model with multiple starters

Cites Work

• Unnamed Item
• A queueing model with bonus service for certain customers
• A probability limit theorem with application to a generalisation of queueing theory
• Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
• Single server queues with hyperexponential service times
• On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service
• Single server queues with modified service mechanisms
• A queueing process with varying degree of service

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