Queue-length, waiting-time and service batch size analysis for the discrete-time \(GI/D-MSP^{\text{(a,b)}}/1/\infty\) queueing system
DOI10.1007/s11009-020-09823-9zbMath1478.60249OpenAlexW3091307969MaRDI QIDQ2065481
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/s11009-020-09823-9
queueingwaiting time distributionmatrix-geometric methodgeneral bulk-service ruleservice batch size distribution
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)
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Cites Work
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- Analytic and computational analysis of the discrete-time \(GI/D\)-\(MSP/1\) queue using roots
- Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations
- A short note on the \(GI/Geo/1\) queueing system
- Loss pattern of \(\mathrm{DBMAP}/\mathrm{DMSP}/1/K\) queue and its application in wireless local communications
- Analysis of stationary discrete-time \(GI/D-MSP/1\) queue with finite and infinite buffers
- Modeling a supply chain using a network of queues
- Optimization in HIV screening problems
- On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals
- Networks of queues with batch services, signals and product form solutions
- Sojourn-time distribution of the \(G I/M S P/1\) queueing system
- Applications of bulk queues to group testing models with incomplete identification
- 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/∞
- Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues
- Regenerative Analysis and Steady State Distributions for Markov Chains
- Nonlinear Matrix Equations in Applied Probability—Solution Techniques and Open Problems
- Waiting Time Distribution in a Poisson Queue with a General Bulk Service Rule
- Solutions of the basic matrix equation for M/G/l AND G/M/1 type markov chains
- Some steady-state distributions for theMAP /SM /1 queue
- An invariant subspace approach in m/g/l and g/m/l type markov chains
- The use of non-linear programming in matrix analytic methods
- Waiting-Time Moments In The Queueing System GI/Ma,b/1
- A General Class of Bulk Queues with Poisson Input
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