On the M\(^x\)/G/1 queue with feedback and optional server vacations based on a single vacation policy

DOI10.1016/j.amc.2003.11.037zbMath1059.60094OpenAlexW2079358797MaRDI QIDQ1764716

Kailash C. Madan, Mohammad Al-Rawwash

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.11.037

zbMATH Keywords

Average queue sizeAverage waiting timeBatch arrivals in a compound Poisson processSteady state queue size distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (9)

The \(N\)-policy for an unreliable server with delaying repair and two phases of service ⋮ A discrete-time single-server queueing system with ann-policy, an early setup and a generalization of the Bernoulli feedback ⋮ Equilibrium threshold strategies in observable queueing systems under single vacation policy ⋮ Single server batch arrival Bernoulli feedback queueing system with waiting server, \(K\)-variant vacations and impatient customers ⋮ Analysis and optimisation of a \(M/M/1/WV\) queue with Bernoulli schedule vacation interruption and customer's impatience ⋮ An \(\mathrm{M}^{[X}/\mathrm{G}/1\) retrial G-queue with single vacation subject to the server breakdown and repair] ⋮ The \(M^X/M/c\) Bernoulli feedback queue with variant multiple working vacations and impatient customers: performance and economic analysis ⋮ The optimal control of an unreliable server queue with two phases of service and Bernoulli vacation schedule ⋮ An \(M/G/1\) retrial \(G\)-queue with preemptive resume and feedback under N-policy subject to the server breakdowns and repairs

Cites Work

• The M/G/1 retrial queue with Bernoulli schedule
• Queueing systems with vacations - a survey
• On a single server queue with two-stage heterogeneous service and deterministic server vacations
• On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
• Priority Queues with Feedback
• On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations
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