Introduction to queueing networks
Introduction to queueing networks
The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue
Queueing Systems: Theory and Applications
Output models of MAP/PH/1(/K) queues for an efficient network decomposition
Performance Evaluation
Some Extensions to Multiclass Queueing Network Analysis
Proceedings of the Third International Symposium on Modelling and Performance Evaluation of Computer Systems: Performance of Computer Systems
Queueing Networks and Markov Chains
Queueing Networks and Markov Chains
A matrix-analytic solution for the DBMAP/PH/1 priority queue
Queueing Systems: Theory and Applications
Structured Markov chains solver: algorithms
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
Structured Markov chains solver: software tools
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
A minimal representation of Markov arrival processes and a moments matching method
Performance Evaluation
A Joint Moments Based Analysis of Networks of MAP/MAP/1 Queues
QEST '08 Proceedings of the 2008 Fifth International Conference on Quantitative Evaluation of Systems
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
Performance analysis of priority queueing systems in discrete time
Network performance engineering
Efficient analysis of the queue length moments of the MMAP/MAP/1 preemptive priority queue
Performance Evaluation
Departure process analysis of the multi-type MMAP[K]/PH[K]/1 FCFS queue
Performance Evaluation
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This paper presents a Markov arrival process (MAP) based methodology for the analysis of two-class queueing networks with priority service nodes. We apply the multi-class extension of MAP, referred to as Marked MAP (MMAP), for the description of the input and internal traffic in the queueing network. The MMAP traffic description allows to capture not only the dependency structure of the traffic classes themselves, but also the inter-class dependency of the high and low priority traffic. To carry out MMAP based queueing network analysis the paper presents several contributions: the departure process analysis of the MMAP/MAP/1 priority queue, an MMAP construction method based on the joint moments of two consecutive inter-departure times and some new results towards the efficient performance analysis of the MMAP/MAP/1 priority queue. Numerical examples illustrate the accuracy of the proposed traffic based decomposition method.