A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times.

DOI10.1016/S0167-6377(02)00214-6zbMath1041.90010MaRDI QIDQ1413900

Nam K. Kim, Mohan L. Chaudhry

Publication date: 17 November 2003

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

zbMATH Keywords

Discrete-timeQueueBulk arrivalsDeterministic service timeMulti-server

Mathematics Subject Classification ID

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

Related Items (11)

Computational procedures for a class of GI/D/\(k\) systems in discrete time ⋮ A simple and efficient computing procedure of the stationary system-length distributions for \(G I^X / D / c\) and \(B M a P / D / c\) queues ⋮ Determining Customer Delay in an M^B/G/∞ Exchangeable Item Repair System with Spares ⋮ Sample-path analysis of general arrival queueing systems with constant amount of work for all customers ⋮ Performance analysis of a \(GI^{[X}/Geo/m/N\) queue with partial- and total-batch rejection] ⋮ THE ALLOCATION OF CUSTOMERS IN A DISCRETE-TIME MULTI-SERVER QUEUEING SYSTEM ⋮ Analyzing discrete-time bulk-serviceGeo/Geo^b/mqueue ⋮ Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots ⋮ Delay and partial system contents for a discrete-time G-D-c queue ⋮ Calculation of delay characteristics for multiserver queues with constant service times ⋮ Analytic computation schemes for the discrete-time bulk service queue

Uses Software

• QROOT

Cites Work

• Queue length distributions from probability generating functions via discrete Fourier transforms
• Analysis of discrete-time multiserver queueing models with constant service times
• Equilibrium probability calculations for a discrete-time bulk queue model
• Waiting times in discrete-time cyclic-service systems
• An Elementary Solution of the Queuing System G/G/1
• Deriving delay characteristics from queue length statistics in discrete-time queues with multiple servers
• Computing waiting-time probabilities in the discrete-time queue: GIX/G/1
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