Analysis of \(M^{(\lambda_1, \lambda_2)}/G/1\) queue with uninterrupted single vacation and server's workload controlled \(D\)-policy
DOI10.3934/jimo.2022140OpenAlexW4289535419MaRDI QIDQ2691399
Qionglin Liu, Wenqing Wu, Ying-Hui Tang, Miao-Miao Yu
Publication date: 29 March 2023
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2022140
queue length distributiontotal probability decompositionoptimal control policyserver's workload controlled \(D\)-policyuninterrupted single vacation
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Queue size distribution of Geo/G/\(1\) queue under the \(\operatorname{Min}(N,D)\)-policy
- Recursive solution of queue length distribution for queue with single server vacation and variable input rate
- Discrete-time \(\mathrm{Geo}^X/G/1\) queue with unreliable server and multiple adaptive delayed vacations
- Queueing systems with vacations - a survey
- On the M/G/1 queue with \(D\)-policy
- 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
- Analysis of an \(N\)-policy GI/M/\(1\) queue in a multi-phase service environment with disasters
- Performance analysis of a discrete-time \(Geo/G/1\) queue with randomized vacations and at most \(J\) vacations
- Performance analysis of a discrete-time \( Geo/G/1\) retrial queue with non-preemptive priority, working vacations and vacation interruption
- System capacity optimization design and optimal threshold \(N^*\) for a \(\mathrm{Geo}/\mathrm{G}/1\) discrete-time queue with single server vacation and under the control of \(\mathrm{Min}(N,V)\)-policy
- Optimal control of the \(N\) policy M/G/1 queueing system with server breakdowns and general startup times
- New fluctuation analysis of \(D\)-policy bulk queues with multiple vacations
- Analysis ofD-policy discrete-timeGeo/G/1queue with secondJ-optional service and unreliable server
- Analysis of the MAP/G/1 Queue Under the Min(N,D)-Policy
- Comment on “Solving the ‘Marketing Mix’ Problem using Geometric Programming”
- The T-Policy for the M/G/1 Queue
- Analysis of theMX/G/1 Queue UnderD-Policy
- Control Policies for a Single Server System
This page was built for publication: Analysis of \(M^{(\lambda_1, \lambda_2)}/G/1\) queue with uninterrupted single vacation and server's workload controlled \(D\)-policy
