Waiting time distribution of the \(MAP/D/k\) system in discrete time -- a more efficient algorithm.

DOI10.1016/S0167-6377(03)00003-8zbMath1088.90007MaRDI QIDQ1413912

Attahiru Sule Alfa

Publication date: 17 November 2003

Published in: Operations Research Letters (Search for Journal in Brave)

zbMATH Keywords

Discrete timeMarkovianWaiting timeMatrix-analytic methodarrival processDeterministic serviceMultiserver

Mathematics Subject Classification ID

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

Related Items (3)

Computational procedures for a class of GI/D/\(k\) systems in discrete time ⋮ A note on the distributional Little's law for discrete-time queues with D-MAP arrivals and its application ⋮ Algorithmic analysis of the BMAP/D/k system in discrete time

Cites Work

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• A simple solution for the M/D/c waiting time distribution
• Waiting-time distribution of a discrete-time multiserver queue with correlated arrivals and deterministic service times: \(D-MAP/D/k\) system
• A discrete single server queue with Markovian arrivals and phase type group services
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Algorithms for computing waiting time distributions under different queue disciplines for the D-BMAP/PH/1
• Waiting Time Distribution Of A Fifo/Lifo Geo/D/1 Queue

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