Stochastic process mining: Earth movers’ stochastic conformance

Stochastic Process

Recent research has investigated ways in which general probability distributions may be incorporated into stochastic process algebra. These proposals allow the arbitrary use of such distributions, improving expressibility, but in general this makes performance evaluation diicult. Typically, simulation techniques must be employed. We attack the goal of general probability distributions from the ...

Stochastic Process

We introduce Stochastic Process Algebras as a novel approach for the structured design and analysis of both the functional behaviour and performabil-ity (i.e performance and dependability) characteristics of parallel and distributed systems. This is achieved by integrating stochastic modelling and analysis into the powerful and well investigated formal description techniques of process algebras...

A Relativistic Stochastic Process

We give a review of the relativistic stochastic process denominated with the acronym ROUP, standing for relativistic Ornstein-Ohlenbeck process. This stochastic process was introduced in 1997 by Debbasch, Mallick and Rivet [J. Stat. Phys. 88:945 966 ] as a simpli ed model of irreversibility in a relativistic framework. This allows an investigation of the paradox arising when examining the large...

Stochastic Process Creation

Stochastic Process Algebras

In this tutorial we give an introduction to stochastic process algebras and their use in performance modelling, with a focus on the PEPA formalism. A brief introduction is given to the motivations for extending classical process algebra with stochastic times and probabilistic choice. We then present an introduction to the modelling capabilities of the formalism and the tools available to suppor...