An analytic solution of the waiting time distribution for the discrete-time GI/G/1 queue
Performance Evaluation
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Batch renewal process: exact model of traffic correlation
Proceedings of the 2nd International Workshop on Architecture and Protocols for High Performance Networks: High-Speed Networking for Multimedia Applications
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Buffer Behavior for Poisson Arrivals and Multiple Synchronous Constant Outputs
IEEE Transactions on Computers
On discrete-time multiserver queues with finite buffer: GI/Geom/m/N
Computers and Operations Research
Performance analysis of a GI[X]/Geo/m/N queue with partial- and total-batch rejection
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Modelling LRD and SRD traffic with the batch renewal process: review of results and open issues
Network performance engineering
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This paper presents the steady-state analysis of a discrete-time infinite-capacity multiserver queue with c servers and independent geometrically distributed service times. The arrival process is a batch renewal process, characterized by general independent batch interarrival times and general independent batch sizes. The analysis has been carried out by means of an analytical technique based on generating functions, complex analysis and contour integration. Expressions for the generating functions of the system contents during an arrival slot as well as during an arbitrary slot have been obtained. Also, the delay in case of a first-come-first-served queueing discipline has been analyzed.