New fluctuation analysis of \(D\)-policy bulk queues with multiple vacations

DOI10.1016/j.mcm.2003.12.012zbMath1068.90028OpenAlexW2068773071MaRDI QIDQ2486801

Jewgeni H. Dshalalow, Ravi P. Agarwal

Publication date: 17 August 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.12.012

Mathematics Subject Classification ID

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

Related Items (6)

Optimal design and control of queues ⋮ Queue length and waiting time of the M/G/1 queue under the \(D\)-policy and multiple vacations ⋮ Analysis of \(M^{(\lambda_1, \lambda_2)}/G/1\) queue with uninterrupted single vacation and server's workload controlled \(D\)-policy ⋮ The steady-state system size distribution for a modified D-policy Geo/G/1 queueing system ⋮ Analysis and Cost Optimization of theM/G/1 Queue Under theD-Policy and LCFS Discipline ⋮ On Exit Times of a Multivariate Random Walk and Its Embedding in a Quasi Poisson Process

Cites Work

• Unnamed Item
• On applications of excess level processes to (N,D)-policy bulk queueing systems
• Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications
• On the M/G/1 queue with \(D\)-policy
• A note on D-policy bulk queueing systems
• The Waiting-Time Distribution for the GI/G/1 Queue under the D-Policy
• Comment on “Solving the ‘Marketing Mix’ Problem using Geometric Programming”
• Queueing processes in bulk systems under the D-policy
• Control Policies for a Single Server System

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