An analytical method for the calculation of the waiting time distribution of a discrete time G/G/1-queueing system with batch arrivals

DOI10.1007/S00291-006-0065-0zbMath1168.90394OpenAlexW2150701658MaRDI QIDQ1018260

Kai Furmans, Marc Schleyer

Publication date: 19 May 2009

Published in: OR Spectrum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00291-006-0065-0

Mathematics Subject Classification ID

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

Related Items (6)

Stochastic Bounds and Histograms for Active Queues Management and Networks Analysis ⋮ Impact of priority sequencing decisions on on-time probability and expected tardiness of orders in make-to-order production systems with external due-dates ⋮ An analytical method for the calculation of the number of units at the arrival instant in a discrete time G/G/1-queueing system with batch arrivals ⋮ A general model for batch building processes under the timeout and capacity rules ⋮ On parallel and series non homogeneous bulk arrival queueing model ⋮ Point and interval estimation of decomposition error in discrete-time open tandem queues

Cites Work

• Numerical solution for the departure process from the GI/G/1 queue
• Analytic performance evaluation of distributed systems
• Simultaneous Determination of Lot Sizes and Routing Mix in Job Shops
• Numerical Solutions of the Waiting Time Distribution and Idle Time Distribution of the Arithmetic GI/G/1 Queue
• Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods
• The Impact of Autocorrelation on Queuing Systems
• A General Class of Bulk Queues with Poisson Input
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