A recursive algorithm for state dependent \(GI/M/1/N\) queue with Bernoulli-schedule vacation

DOI10.1007/s10852-013-9236-6zbMath1305.65016OpenAlexW2465398312MaRDI QIDQ483215

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 December 2014

Published in: Journal of Mathematical Modelling and Algorithms in Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10852-013-9236-6

zbMATH Keywords

algorithmqueuenumerical resultvacation interruptionstate dependentBernoulli-schedulesupplementary variableworking vacations

Mathematics Subject Classification ID

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

Cites Work

• An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule
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• Performance analysis of a GI/M/1 queue with single working vacation
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• Performance analysis of \(GI/M/1\) queue with working vacations and vacation interruption
• Analysis and computational algorithm for queues with state-dependent vacations. I: \newline \(G/M(n)/1/K\)
• Analysis and computational algorithm for queues with state-dependent vacations. II: \newline \(M(n)/G/1/K\)
• Analysis of single working vacation in GI\(/M/1/N\) and GI\(/M/1/\infty \) queueing systems
• Queueing systems with vacations - a survey
• A two phase batch arrival queueing system with a vacation time under Bernoulli schedule.
• The GI/M/1 queue with exponential vacations
• Analysis of a \(GI/M/1\) queue with multiple working vacations
• Vacation queueing models. Theory and applications
• The busy period of the migi1 vacation model with a bernoulli schedule
• Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
• A unified approach to gi/m(n)/l/k and m(n)/g/1/k queues via finite quasi-birth-death processes
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