Optical burst switching (OBS) - a new paradigm for an optical Internet
Journal of High Speed Networks - Special issue on optical networking
The complete analysis of the discrete time finite DBMAP/G/1/N queue
Performance Evaluation
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
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
Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
Computers and Operations Research
Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations
Mathematical and Computer Modelling: An International Journal
A Markovian approach for modeling packet traffic with long-range dependence
IEEE Journal on Selected Areas in Communications
Optical burst switching: a new area in optical networking research
IEEE Network: The Magazine of Global Internetworking
Analysis of a versatile batch-service queueing model with correlation in the arrival process
Performance Evaluation
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Queueing systems with batch service have been investigated extensively during the past decades. However, nearly all the studied models share the common feature that an uncorrelated arrival process is considered, which is unrealistic in several real-life situations. In this paper, we study a discrete-time queueing model, with a server that only initiates service when the amount of customers in system (system content) reaches or exceeds a threshold. Correlation is taken into account by assuming a discrete batch Markovian arrival process (D-BMAP), i.e. the distribution of the number of customer arrivals per slot depends on a background state which is determined by a first-order Markov chain. We deduce the probability generating function of the system content at random slot marks and we examine the influence of correlation in the arrival process on the behavior of the system. We show that correlation merely has a small impact on the threshold that minimizes the mean system content. In addition, we demonstrate that correlation might have a significant influence on the system content and therefore has to be included in the model.