Computational procedures for a class of GI/D/\(k\) systems in discrete time

DOI10.1155/2009/716364zbMath1200.90054OpenAlexW2033062008WikidataQ58648722 ScholiaQ58648722MaRDI QIDQ609684

Attahiru Sule Alfa, Md. Mostafizur Rahman

Publication date: 1 December 2010

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229423

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (1)

Computational procedures for a class of GI/D/\(k\) systems in discrete time

Cites Work

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• Computational procedures for a class of GI/D/\(k\) systems in discrete time
• Delay and partial system contents for a discrete-time G-D-c queue
• Calculation of delay characteristics for multiserver queues with constant service times
• Steady state solution of the \(E^ k/D/r\) queueing model
• Discrete-time queues with correlated arrivals and constant service times
• Analysis of discrete-time multiserver queueing models with constant service times
• Combined elapsed time and matrix-analytic method for the discrete time \(GI/G/1\) and \(GI^X/G/1\) systems
• A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times.
• Waiting time distribution of the \(MAP/D/k\) system in discrete time -- a more efficient algorithm.
• A simple solution for the M/D/c waiting time distribution
• Decomposition of an M/D/rk queue with FIFO into kE//k/D/r queues with FIFO
• Waiting-time distribution of a discrete-time multiserver queue with correlated arrivals and deterministic service times: \(D-MAP/D/k\) system
• Analytic study of multiserver buffers with two-state Markovian arrivals and constant service times of multiple slots
• Efficient Computations for the Discrete GI/G/1 System
• Numerical analysis of multi-server queues with deterministic service and special phase-type arrivals
• Computational Results of Multiserver Bulk-Arrival Queues with Constant Service Time MX/D/c
• A logarithmic reduction algorithm for quasi-birth-death processes
• An invariant subspace approach in m/g/l and g/m/l type markov chains
• Algorithmic analysis of the BMAP/D/k system in discrete time
• A simple approach to the map/d/s queue
• THE M^X/D/c BATCH ARRIVAL QUEUE
• Applying Formal Methods: Testing, Performance, and M/E-Commerce

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