Titlebook: Application and Theory of Petri Nets and Concurrency; 41st International C Ryszard Janicki,Natalia Sidorova,Thomas Chatain Conference proce

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Circular Traffic Queues and Petri’s Cycloidsng cycloids that have an isomorphic reachability graph. Cycloids are particular Petri nets for modelling processes of actions or events, belonging to the fundaments of Petri’s general systems theory. They have very different interpretations, ranging from Einstein’s relativity theory to elementary in

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Repairing Event Logs with Missing Events to Support Performance Analysis of Systems with Shared Resoularly important for distributed systems with shared resources, e.g., one case can block another case competing for the same machine, leading to inter-case dependencies in performance. However, due to a variety of reasons, real-life systems often record only a subset of all events taking place. For

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Piecewise Affine Dynamical Models of Timed Petri Nets – Application to Emergency Call Centerse use tools from the theory of nonexpansive mappings to analyze these systems. We establish an equivalence theorem between priority-free fluid timed Petri nets and semi-Markov decision processes, from which we derive the convergence to a periodic regime and the polynomial-time computability of the t

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Automated Repair of Process Models Using Non-local Constraintst indirect dependencies between events. Whenever the input behavior is not free-choice, these methods fail to provide a precise model. In this paper, we propose a novel approach for the enhancement of free-choice process models, by adding non-free-choice constructs discovered a-posteriori via region

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Piecewise Affine Dynamical Models of Timed Petri Nets – Application to Emergency Call Centershroughput. More generally, we develop an approach inspired by tropical geometry, characterizing the congestion phases as the cells of a polyhedral complex. We illustrate these results by a current application to the performance evaluation of emergency call centers in the Paris area.