Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation
From MaRDI portal
Publication:6106247
DOI10.1080/03610926.2021.1966469arXiv2007.08640OpenAlexW3196022557MaRDI QIDQ6106247
Nilanjan Nandy, Sourav Pradhan
Publication date: 27 June 2023
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.08640
Cites Work
- Unnamed Item
- Algorithm for computing the queue length distribution at various time epochs in \(\mathrm{DMAP}/G^{(1, a, b)}/1/n\) queue with batch-size-dependent service time
- Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process
- Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
- Computational analysis of bulk service queue with Markovian arrival process: MAP/R\(^{(a,b)}/1\) queue
- Analytic and numerical aspects of batch service queues with single vacation
- Analyzing discrete-time \(\text{D}\)-\(\text{BMAP}/G/1/N\) queue with single and multiple vacations
- A queueing model for general group screening policies and dynamic item arrivals
- On the \(M^ X/G/1\) queue with vacation time
- Queueing systems with vacations - a survey
- Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications
- On a batch service queue with single vacation
- Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues
- Markovian bulk service queue with delayed vacations.
- Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service: \(M^X\,/\,G^Y_r\,/\,1\,/\,N\)
- On finite buffer bulk arrival bulk service queue with queue length and batch size dependent service
- Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations
- A fixed-size batch service queue with vacations
- A study on the behaviour of the server breakdown without interruption in a \(M^{x}/G(a,b)/1\) queueing system with multiple vacations and closedown time
- On the distribution of an infinite-buffer queueing system with versatile bulk-service rule under batch-size-dependent service policy: \(M/G_n^{(a,Y)} /1\)
- Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process
- Discrete-time queue with batch renewal input and random serving capacity rule: \(GI^X/ Geo^Y/1\)
- Discrete-time \(Geo^X /G^{(a,b)}/1/N\) queues with single and multiple vacations
- Steady state analysis of a bulk queue with multiple vacations, setup times with \(N\)-policy and closedown times
- Vacation queueing models. Theory and applications
- The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations
- Analyzing discrete-time bulk-serviceGeo/Geob/mqueue
- Analysis of the Mx/G/1 queue by N-policy and multiple vacations
- G/M^<a, b>/1 QUEUES WITH SERVER VACATIONS
- Queueing Theory for Telecommunications
- Analytical and computational studies of the BMAP/G(a,Y)/1 queue
- Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
This page was built for publication: Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation