Service Rate and Admission Control in an M/G/1 Queue with State-Dependent Arrival Rates

DOI10.1142/S0217595920500335zbMath1457.90057OpenAlexW3036696948MaRDI QIDQ5149547

Shunta Nishimura, Koichi Nakade

Publication date: 11 February 2021

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217595920500335

zbMATH Keywords

threshold policyservice controladmission\(Mn/Gn/1\) queue

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Cites Work

• State-dependent \(\mathrm{M}/\mathrm{G}/1\) queueing systems
• Equilibrium balking strategies for a clearing queueing system in alternating environment
• Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic
• A rate balance principle and its application to queueing models
• The \(M_n/G_n/1\) queue with vacations and exhaustive service
• A probabilistic approach for the analysis of the \(M_n/G/1\) queue
• The state-dependent \(\mathrm{M}/\mathrm{G}/1\) queue with orbit
• Strategic Customers in a Transportation Station: When Is It Optimal to Wait?
• The Conditional Distribution of the Residual Service Time in theM_n/G/1 Queue
• Dynamic Control of a Queue with Adjustable Service Rate
• Optimal control of admission to a quenching system
• Optimal Control of a Maintenance System with Variable Service Rates
• Asymptotically Optimal Admission Control of a Queue with Impatient Customers
• The Regulation of Queue Size by Levying Tolls
• Admission control for a multi-server queue with abandonment

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