The \(N\) threshold policy for the \(GI/M/1\) queue

DOI10.1016/S0167-6377(03)00067-1zbMath1135.90329OpenAlexW1990031284MaRDI QIDQ1433666

Zhe George Zhang, Nai-shuo Tian

Publication date: 1 July 2004

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6377(03)00067-1

zbMATH Keywords

Embedded Markov chain\(GI/M/1\) queueStochastic decomposition\(N\) threshold policy

Mathematics Subject Classification ID

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

Related Items (14)

Stationary distribution of queue length in \(G/M/1\) queue with two-stage service policy ⋮ Performance analysis and optimization of a pseudo-fault \(\mathrm{Geo}/\mathrm{Geo}/1\) repairable queueing system with \(N\)-policy, setup time and multiple working vacations ⋮ On stochastic decomposition in the \(GI/M/1\) queue with single exponential vacation ⋮ Analysis of the GI/Geo/1 queue with \(N\)-policy ⋮ On an M/G/1 queue in random environment with Min(N, V) policy ⋮ Analytical and computational aspects of the infinite buffer single server \(N\) policy queue with batch renewal input ⋮ Random \(N\)-policy Geo/G/1 queue with startup and closedown times ⋮ A Survey for Stochastic Decomposition in Vacation Queues ⋮ A discrete queue with double thresholds policy and its application to SVC systems ⋮ Busy period analysis for the \(n\)-policy \(GI/M/c\) queue ⋮ Analysis of an \(N\)-policy GI/M/\(1\) queue in a multi-phase service environment with disasters ⋮ The \( N\)-policy of a discrete time Geo/G/1 queue with disasters and its application to wireless sensor networks ⋮ Age-based Markovian approximation of the G/M/1 queue ⋮ The principal-agent problem for service rate event-dependency

Cites Work

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• A recursive method for the \(N\) policy \(G/M/1\) queueing system with finite capacity
• GI/M/1 Queue with Server Vacations
• Control Policies for the M^X/G/1 Queueing System
• The T-Policy for the M/G/1 Queue
• G/M^<a, b>/1 QUEUES WITH SERVER VACATIONS
• Optimal Operating Policies for M/G/1 Queuing Systems
• Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server
• The Threshold Policy In An M/G/1 Queue With An Exceptional First Vacation

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