This paper provides a general framework for establishing the relation between various moments of matrix exponential and Markovian processes. Based on this framework we present an a...
The importance of the order two Markovian arrival process (MAP(2)) comes from its compactness, serving either as arrival or service process in applications, and from the nice prope...
Levente Bodrog, Peter Buchholz, Jan Kriege, Mikl&o...
We present the KPC-Toolbox, a library of MATLAB scripts for fitting workload traces into Markovian Arrival Processes (MAPs) in an automatic way based on the recently proposed Kro...
This paper shows how to construct a Markovian arrival process of second order from information on the marginal distribution and on its autocorrelation function. More precisely, clo...
We propose a trace fitting algorithm for Markovian Arrival Processes (MAPs) that can capture statistics of any order of interarrival times between measured events. By studying re...