The Waiting-Time Distribution for the GI/G/1 Queue under the D-Policy

DOI10.1017/S0269964800002552zbMath1134.60401MaRDI QIDQ3416052

Jing-wen Li, Shun-Chen Niu

Publication date: 19 January 2007

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (14)

Queue Length Analysis of MAP/G/1 Queue UnderD-Policy ⋮ On the M/G/1 queue with \(D\)-policy ⋮ Queue length and waiting time of the M/G/1 queue under the \(D\)-policy and multiple vacations ⋮ Analysis of theM^X/G/1 Queue UnderD-Policy ⋮ A quorum queueing system under \(D\)-policy ⋮ The steady-state system size distribution for a modified D-policy Geo/G/1 queueing system ⋮ A mean value formula for the M/G/1 queues controlled by workload ⋮ Analysis of the MAP/G/1 Queue Under the Min(N,D)-Policy ⋮ Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness ⋮ New fluctuation analysis of \(D\)-policy bulk queues with multiple vacations ⋮ Analysis and Cost Optimization of theM/G/1 Queue Under theD-Policy and LCFS Discipline ⋮ Unfinished work for the queue under \(D\)-policy with incomplete information on service times ⋮ MAP/G/1 Queue Under Workload Control and Postprocessing ⋮ A note on the optimality of the \(N\)- and \(D\)-policies for the \(M/G/1\) queue

Cites Work

• Unnamed Item
• Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline
• Optimal Control of an M/G/1 Priority Queue Via N-Control
• Generalizations of the stochastic decomposition results for single server queues with vacations
• A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times
• Generalizations of the Pollaczek-Khinchin integral equation in the theory of queues
• Duality and Other Results for M/G/1 and GI/M/1 Queues, Via a New Ballot Theorem

This page was built for publication: The Waiting-Time Distribution for the GI/G/1 Queue under the D-Policy