Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance
From MaRDI portal
Publication:2065489
DOI10.1007/s11009-020-09828-4zbMath1480.60214OpenAlexW3092854183WikidataQ100991031 ScholiaQ100991031MaRDI QIDQ2065489
Srinivas R. Chakravarthy, Shruti, Aleksandr Rumyantsev
Publication date: 7 January 2022
Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11009-020-09828-4
Queueing theory (aspects of probability theory) (60K25) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items (4)
Computational analysis of \(GI^{[X}/D-MSP^{(a,b)}/1\) queueing system via \textit{RG}-factorization] ⋮ Sojourn-time distribution for \(M/G^a/1\) queue with batch service of fixed size -- revisited ⋮ Detailed analytical and computational studies of \(D-BMAP/D-BMSP1\) queueing system ⋮ An extended queueing model for vehicles at signalized intersections considering the platoon correlated arrivals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis and optimal control of a queue with infinite buffer under batch-size dependent versatile bulk-service rule
- 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 finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service
- On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\)
- Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
- Queue-length distribution of a batch service queue with random capacity and batch size dependent service: \(\mathrm{M}/{\mathrm{G}^{Y}_{r}}/1\)
- Analytic and numerical aspects of batch service queues with single vacation
- A queueing model for general group screening policies and dynamic item arrivals
- Statistical group testing with queueing involved
- Modelling and analysis of \(M/G^{a,b}/1/N\) queue -- A simple alternative approach
- Performance analysis of a batch service queue arising out of manufacturing system modelling
- Multi-threshold control of the \(BMAP/SM/1/K\) queue with group services
- Optimization in HIV screening problems
- Delay analysis of a two-class batch-service queue with class-dependent variable server capacity
- Stationary analysis and optimal control under multiple working vacation policy in a \(\mathrm{GI/M}^{(a,b)}/1\) queue
- An \(\mathrm{M}^{[X}/\mathrm{G}(a,b)/1\) queueing system with breakdown and repair, stand-by server, multiple vacation and control policy on request for re-service]
- An `\((s,S)\)' inventory in a queueing system with batch service facility
- On finite buffer bulk arrival bulk service queue with queue length and batch size dependent service
- Analysis of the sojourn time distribution for \(M/GL/1\) queue with bulk-service of exactly size \(L\)
- A multi-server retrial queue with BMAP arrivals and group services
- Optimal hysteretic control for the \(\text{BMAP}/G/1\) system with single and group service modes
- Effect of information on the strategic behavior of customers in a discrete-time bulk service queue
- Steady state analysis of system size-based balking in \(M/M^b/1\) queue
- Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process
- A class of asymptotically optimal group screening strategies with limited item participation
- Analysis of a finite MAP/\(G\)/1 queue with group services
- Applications of bulk queues to group testing models with incomplete identification
- Analysis of finite-buffer state-dependent bulk queues
- Steady state analysis of a bulk queue with multiple vacations, setup times with \(N\)-policy and closedown times
- A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method:GI/C-MSP(a,b)/1/∞
- Fundamentals of Matrix-Analytic Methods
- Matrix-Exponential Distributions in Applied Probability
- Finite-Buffer Bulk Service Queue Under Markovian Service Process:GI/MSP(a,b)/1/N
- The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure
- Arrival and departure state distributions in the general bulk-service queue
- System Occupancy of a Two-Class Batch-Service Queue with Class-Dependent Variable Server Capacity
- Optimal bulking threshold of batch service queues
- A BULK SERVICE GI/M/1 QUEUE WITH SERVICE RATES DEPENDING ON SERVICE BATCH SIZE
- Modelling and analysis of a bulk service queueing model with multiple working vacations and server breakdown
- A General Class of Bulk Queues with Poisson Input
- Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain
- Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
This page was built for publication: Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance