The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Modeling and analysis of stochastic systems
Modeling and analysis of stochastic systems
Queueing Systems: Theory and Applications
Traffic Modeling of IP Networks Using the Batch Markovian Arrival Process
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
A note on an M/GI/1/N queue with vacation time and exhaustive service discipline
Operations Research Letters
Markovian arrival process parameter estimation with group data
IEEE/ACM Transactions on Networking (TON)
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Capacity-on-demand is the key concept in multiplexing bursty mobile data traffic over wireless links featuring limited bandwidth. This scheme maintains a connection for a mobile only when it has data to transfer and allows quick release of radio resource when buffered data is emptied. For a system supporting a large number of data mobiles, non-trivial multiple access delay may be introduced and its distribution may very likely follow an arbitrarily general form given the complicated multiple access scenario. A general mobile data terminal model, namely MMPP/G/1/L with server activation time, is presented in which we consider bursty traffic input, finite buffer, and generally distributed connection activation time and service time. Performance indices are derived from the model and can be used in the performance prediction on higher layers and thus to help predict user satisfaction for potential data services. In particular, we use the model to study how performance will be affected by the distribution of access delay in capacity-on-demand.