Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Performance analysis of finite buffer discrete-time queue with bulk service
Computers and Operations Research
Computers and Operations Research
Analytic and numerical aspects of batch service queues with single vacation
Computers and Operations Research
Delay in a Discrete-Time Queueing Model with Batch Arrivals and Batch Services
ITNG '08 Proceedings of the Fifth International Conference on Information Technology: New Generations
A Queuing Model for the Non-continuous Frame Assembly Scheme in Finite Buffers
ASMTA '09 Proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications
Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations
Mathematical and Computer Modelling: An International Journal
A discrete-time queueing model with a batch server operating under the minimum batch size rule
NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
Computers and Operations Research
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Batch servers are capable of processing batches of packets instead of individual packets. Although batch-service queueing models have been studied extensively during the past decades, the focus was mainly put on calculating performance measures related to the buffer content, whereas less attention has been paid to the packet delay. In this paper, we focus on the tail probabilities of the delay that a random packet experiences in a general batch-service queueing model. More specifically, we establish approximations for these probabilities, which are highly accurate and easy to calculate. These results, for instance, allow to accurately assess the probability that real-time packets experience an excessive delay in practical telecommunication systems.