Waiting-time distribution of a discrete-time multiserver queue with correlated arrivals and deterministic service times: \(D-MAP/D/k\) system

DOI10.1016/S0167-6377(02)00126-8zbMath1010.90013MaRDI QIDQ1866983

Mohan L. Chaudhry, Bong K. Yoon, Kyung-Chul Chae

Publication date: 2 April 2003

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

zbMATH Keywords

queuesdiscrete-timeMarkovian arrival processmultiserverdeterministic service

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)

Related Items (8)

ON THE VARIANCES OF SYSTEM SIZE AND SOJOURN TIME IN A DISCRETE-TIME DAR(1)/D/1 QUEUE ⋮ Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/Gn(a,b)/1 ⋮ Computational procedures for a class of GI/D/\(k\) systems in discrete time ⋮ Waiting time distribution of the \(MAP/D/k\) system in discrete time -- a more efficient algorithm. ⋮ Sample-path analysis of general arrival queueing systems with constant amount of work for all customers ⋮ 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 ⋮ Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots

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