The GI/M/1 queue with exponential vacations
From MaRDI portal
Publication:1825534
DOI10.1007/BF01225323zbMath0684.60072OpenAlexW1971983413MaRDI QIDQ1825534
Chengxuan Cao, Daqing Zhang, Naishou Tian
Publication date: 1989
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01225323
decompositionstable distributionmatrix-geometric solutionmultiple exponential vacationqueue length processes
Queueing theory (aspects of probability theory) (60K25) Markov renewal processes, semi-Markov processes (60K15)
Related Items (25)
A heuristic algorithm for the optimization of \(\mathrm{M}/\mathrm{M}/s\) queue with multiple working vacations ⋮ Analysis of Queues with Markovian Service Processes ⋮ On the \(GI/M/1/N\) queue with multiple working vacations-analytic analysis and computation ⋮ Performance analysis of \(GI/M/1\) queue with working vacations and vacation interruption ⋮ Discrete-time GI/Geo/1 queue with multiple working vacations ⋮ Busy period analysis for the \(GI/M/1\) queue with exponential vacations ⋮ Analysis and computational algorithm for queues with state-dependent vacations. I: \newline \(G/M(n)/1/K\) ⋮ On stochastic decomposition in the \(GI/M/1\) queue with single exponential vacation ⋮ The discrete-time GI/Geo/1 queue with working vacations and vacation interruption ⋮ Strong stability of the embedded Markov chain in an \(GI/M/1\) queue with negative customers ⋮ Analysis of discrete-time queues with batch renewal input and multiple vacations ⋮ Performance analysis of a GI/M/1 queue with single working vacation ⋮ On The Renewal Input Batch-arrival Queue Under Single And Multiple Working Vacation Policy With Application To EPON ⋮ Performance analysis of the GI/M/1 queue with single working vacation and vacations ⋮ Multiserver Markovian Queueing System with Vacation ⋮ Analysis of a two-stage cycle queue with state-dependent vacation policy ⋮ A recursive algorithm for state dependent \(GI/M/1/N\) queue with Bernoulli-schedule vacation ⋮ A Survey for Stochastic Decomposition in Vacation Queues ⋮ On the \(\text{GI/M/1}\) queue with vacations and multiple service phases ⋮ Analysis of general input state dependent working vacation queue with changeover time ⋮ Analysis of a \(GI/M/1\) queue with multiple working vacations ⋮ Optimal management of the machine repair problem with working vacation: Newton's method ⋮ Busy period analysis for the GI/M/1 queue with phase-type vacations ⋮ The GI/M/1 queue with phase-type working vacations and vacation interruption ⋮ Analysis of multi-server queues with station and server vacations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Queueing systems with vacations - a survey
- \(M/G/1\) queue with controllable vacations and optimization of vacation policy
- Technical Note—A Note on the M/G/1 Queue with Server Vacations
- Generalizations of the stochastic decomposition results for single server queues with vacations
- On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
- A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times
- A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition
- Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
- D/G/1 Queues with Vacations
- Dynamics of the M/G/1 Vacation Model
- The backlog and depletion-time process for M/G/1 vacation models with exhaustive service discipline
- Utilization of Idle Time in an M/G/1 Queueing System
This page was built for publication: The GI/M/1 queue with exponential vacations