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 …

This paper addresses a parameter estimation problem of Markovian arrival process (MAP).
In network traffic measurement experiments, one often encounters the group data where …

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 …

This paper studies a cold standby repairable system with working vacations and vacation
interruptions. The repairman׳ s multiple vacation, the working vacation policy and the …

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

In this paper, we present the results of a study of a priority multi-server queuing system with
heterogeneous customers arriving according to a marked Markovian arrival process …

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 …

This paper proposes an improved computation method of maximum likelihood (ML)
estimation for phase-type (PH) distributions with a number of phases. We focus on the EM …

Besides the fact that–by definition–matrix-exponential processes (MEPs) are more general
than Markovian arrival processes (MAPs), only very little is known about the precise …

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 …