MAP Queueing Networks (QNs) are a superset of product-form queueing networks and queueing networks with high service variability. MAP QNs can both model traditional service time distributions (exponential, hyper-exponential, Erlang), which do not have memory of the past sampled values, as well as service processes with temporal dependence (burstiness, correlations) between consecutive service times.
This Web page provides scripts to define and analyze a MAP Queueing Network. We have collected in the MAPQN Toolbox MATLAB scripts for generating the state space of a MAP Queueing Network and compute its exact performance by numerically solving the underlying Markov chain. The toolbox also includes basic functions for manipulating and fitting small MAPs with two sates.
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