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In order to obtain a stochastic model that accounts for the stochastic aspects of the dynamics of a business process, usually the following steps are taken. Given an event log, a process tree is obtained through a process discovery…

Computation and Language · Computer Science 2025-04-09 András Horváth , Paolo Ballarini , Pierre Cry

Process mining is concerned with deriving formal models capable of reproducing the behaviour of a given organisational process by analysing observed executions collected in an event log. The elements of an event log are finite sequences…

Databases · Computer Science 2024-07-03 Pierre Cry , András Horváth , Paolo Ballarini , Pascal Le Gall

We introduce stochastic decision Petri nets (SDPNs), which are a form of stochastic Petri nets equipped with rewards and a control mechanism via the deactivation of controllable transitions. Such nets can be translated into Markov decision…

Logic in Computer Science · Computer Science 2023-03-24 Florian Wittbold , Rebecca Bernemann , Reiko Heckel , Tobias Heindel , Barbara König

This paper describes a stand-alone, no-frills tool supporting the analysis of (labelled) place/transition Petri nets and the synthesis of labelled transition systems into Petri nets. It is implemented as a collection of independent,…

Logic in Computer Science · Computer Science 2015-08-21 Eike Best , Uli Schlachter

Stochastic Petri nets are commonly used for modeling distributed systems in order to study their performance and dependability. This paper proposes a realization of stochastic Petri nets in SystemC for modeling large embedded control…

Software Engineering · Computer Science 2016-02-26 Van Chan Ngo , Axel Legay

We investigate classes of systems based on different interaction patterns with the aim of achieving distributability. As our system model we use Petri nets. In Petri nets, an inherent concept of simultaneity is built in, since when a…

Logic in Computer Science · Computer Science 2009-01-05 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

Process mining leverages event data extracted from IT systems to generate insights into the business processes of organizations. Such insights benefit from explicitly considering the frequency of behavior in business processes, which is…

Formal Languages and Automata Theory · Computer Science 2025-07-10 Tian Li , Artem Polyvyanyy , Sander J. J. Leemans

The discipline of process mining aims to study processes in a data-driven manner by analyzing historical process executions, often employing Petri nets. Event data, extracted from information systems (e.g. SAP), serve as the starting point…

Artificial Intelligence · Computer Science 2022-04-11 Marco Pegoraro , Merih Seran Uysal , Wil M. P. van der Aalst

In process discovery, the goal is to find, for a given event log, the model describing the underlying process. While process models can be represented in a variety of ways, Petri nets form a theoretically well-explored description language…

Databases · Computer Science 2026-04-08 Lisa Luise Mannel , Wil M. P. van der Aalst

Fluid Stochastic Petri Nets are used to capture the dynamic behavior of an ILP processor, and discrete-event simulation is applied to assess the performance potential of predictions and speculative execution in boosting the performance of…

Hardware Architecture · Computer Science 2013-09-17 Pece Mitrevski , Marjan Gusev

Developing algorithms for distributed systems is an error-prone task. Formal models like Petri nets with transits and Petri games can prevent errors when developing such algorithms. Petri nets with transits allow us to follow the data flow…

Logic in Computer Science · Computer Science 2021-03-30 Manuel Gieseking , Jesko Hecking-Harbusch , Ann Yanich

Process mining is a well-established discipline of data analysis focused on the discovery of process models from information systems' event logs. Recently, an emerging subarea of process mining, known as stochastic process discovery, has…

Databases · Computer Science 2025-03-07 Anna Kalenkova , Lewis Mitchell , Matthew Roughan

Labeled transition systems are typically used to represent the behavior of nondeterministic processes, with labeled transitions defining a one-step state to-state reachability relation. This model has been recently made more general by…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-10 Marco Bernardo , Rocco De Nicola , Michele Loreti

Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

Motivated by the abundance of uncertain event data from multiple sources including physical devices and sensors, this paper presents the task of relating a stochastic process observation to a process model that can be rendered from a…

Artificial Intelligence · Computer Science 2022-06-28 Izack Cohen , Avigdor Gal

A decade ago, Abdulla, Ben Henda and Mayr introduced the elegant concept of decisiveness for denumerable Markov chains [1]. Roughly speaking, decisiveness allows one to lift most good properties from finite Markov chains to denumerable…

Logic in Computer Science · Computer Science 2018-04-05 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Pierre Carlier

Modelling, specifying and reasoning about complex systems requires to process in an integrated fashion declarative and procedural aspects of the target domain. The paper reports on an experiment conducted with a propositional version of…

Artificial Intelligence · Computer Science 2020-08-04 Giovanni Sileno

This work proposes a new method for simultaneous probabilistic identification and control of an observable, fully-actuated mechanical system. Identification is achieved by conditioning stochastic process priors on observations of…

Machine Learning · Computer Science 2014-04-02 Jan-Peter Calliess , Antonis Papachristodoulou , Stephen J. Roberts

Starting with a collection of traces generated by process executions, process discovery is the task of constructing a simple model that describes the process, where simplicity is often measured in terms of model size. The challenge of…

Artificial Intelligence · Computer Science 2024-04-17 Hanan Alkhammash , Artem Polyvyanyy , Alistair Moffat

Alignments provide sophisticated diagnostics that pinpoint deviations in a trace with respect to a process model and their severity. However, approaches based on trace alignments use crisp process models as reference and recent…

Databases · Computer Science 2021-07-09 Giacomo Bergami , Fabrizio Maria Maggi , Marco Montali , Rafael Peñaloza
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