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The analysis of the departure process of queues is important in several aspects, for instance, it plays a prominent role in the decomposition based analysis of open queueing networks. While there are several results available for the departure process analysis of MAP driven single-class (or, single-type) queues, there are very few results available for the multi-type variants of these queues.In this...
The paper investigates the problem of minimal representation of Markov arrival processes of order n (MAP(n)). The minimal representation of MAPs is crucial for developing effective fitting methods. It seems that all existing MAP fitting methods are based on the D0, D1 representation which is known to be redundant. We present the minimal number of parameters to define a MAP(n) and provide a numerical...
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