The structure of departure process and optimal control strategy \(N^*\) for \(Geo/G/1\) discrete-time queue with multiple server vacations and \(\mathrm{Min}(N,V)\)-policy

DOI10.1007/s11424-017-5279-5zbMath1402.93267OpenAlexW2771809113MaRDI QIDQ1621115

Shaojun Lan, Ying-Hui Tang

Publication date: 8 November 2018

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-017-5279-5

zbMATH Keywords

discrete-time queuedeparture processcost optimization\(\mathrm{Min}(N,V)\)-policymultiple server vacations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Discrete-time control/observation systems (93C55) Optimal stochastic control (93E20)

Related Items (2)

Optimal control policy of M/G/1 queueing system with delayed randomized multiple vacations under the modified min \((N, D)\)-policy control ⋮ Analysis of \(M^{(\lambda_1, \lambda_2)}/G/1\) queue with uninterrupted single vacation and server's workload controlled \(D\)-policy

Cites Work

• On the departure process of the linear loss network
• A Poisson limit for the departure process from a queue with many busy servers
• On the transient departure process of \(M^x/G/1\) queueing system with single server vacation
• Analysis of Departure Process in Batch Arrival Queue with Multiple Vacations and Exhaustive Service
• The departure process of the M/G/1 queueing model with server vacation and exhaustive service discipline
• Connection-wise end-to-end performance analysis of queueing networks with MMPP inputs
• The Output of a Queuing System
• The Correlation Structure of the Output Process of Some Single Server Queueing Systems
• The departure process of discrete-time queueing systems with Markovian type inputs
• Departure processes of BMAP/G/1 queues
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The structure of departure process and optimal control strategy \(N^*\) for \(Geo/G/1\) discrete-time queue with multiple server vacations and \(\mathrm{Min}(N,V)\)-policy