Stationary distributions in a queueing system with vacation times and limited service

DOI10.1007/BF01150856zbMath0664.60095OpenAlexW1983474396MaRDI QIDQ1115032

S. H. Smith

Publication date: 1989

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01150856

zbMATH Keywords

stationary queue length distributionpolling systemsalgorithmic solutionqueueing system with finite capacityvacation timeswalking server

Mathematics Subject Classification ID

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

Related Items (11)

A simple approximation for mean waiting time in \(M/G/1\) queue with vacations and limited service discipline ⋮ \(M(n)/G/1/N\) queues with generalized vacations ⋮ An M/G/1 queueing system with compulsory server vacations ⋮ A two server queue with Bernoulli schedules and a single vacation policy. ⋮ On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy. ⋮ \(M/G/1/K\) queues with \(N\)-policy and setup times ⋮ \(M/G/1/N\) vacation model with varying \(E\)-limited service discipline ⋮ Analysis of batch arrival queue with two stages of service and phase vactions ⋮ Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations ⋮ A Two Phase M/G/1 Feedback Queue with Multiple Server Vacation ⋮ Restricted Admissibility of Batches into anM/G/1 Type Bulk Queue with Modified Bernoulli Schedule Server Vacations

Cites Work

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• Non-negative matrices and Markov chains. 2nd ed
• Regenerative Analysis and Steady State Distributions for Markov Chains
• A GI/M/1 queue with rest periods Jacob
• M/G/1/N Queue with Vacation Time and Exhaustive Service Discipline

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