The representation of general distributions or measured data by phase-type distributions is
an important and nontrivial task in analytical modeling. Although a large number of different …

For model based analysis of computer and telecommunication systems an appropriate
representation of arrival and service processes is very important. Especially representations …

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 real traffic …

Markovian arrival processes are a powerful class of stochastic processes to represent
stochastic workloads that include autocorrelation in performance or dependability modeling …

We present the KPC-Toolbox, a collection of MATLAB scripts for fitting workload traces into
Markovian arrival processes (MAPs) in an automatic way. We first present detailed sensitivity …

Approximating the empirical distribution of a measured data trace by a phase-type (PH)
distribution has significant applications in the analysis of stochastic models. For phase-type …

The representation of general distributions or measured data by phase-type distributions is
an important and non-trivial task in analytical modeling. Although a large number of different …

In this paper, we consider a queue where the inter-arrival times are correlated and,
additionally, service times are also correlated with inter-arrival times. We show that the …

Fitting of the parameters of a Phase Type (PH) distribution or a Markovian Arrival Process
(MAP) according to some quantities of measured data streams is still a challenge. This …

In this paper, we consider a multi-server queue with a finite buffer. Request arrivals are
defined by the Markov arrival process. Service is provided to groups of requests. The …