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We study timed Petri nets, with preselection and priority routing. We represent the behavior of these systems by piecewise affine dynamical systems. We use tools from the theory of nonexpansive mappings to analyze these systems. We…

Optimization and Control · Mathematics 2023-06-22 Xavier Allamigeon , Marin Boyet , Stéphane Gaubert

A fundamental issue in the analysis of emergency call centers is to estimate the time needed to return to a congestion-free regime after an unusual event with a massive arrival of calls. Call centers can generally be represented by timed…

Optimization and Control · Mathematics 2022-02-08 Xavier Allamigeon , Marin Boyet , Stephane Gaubert

Dynamical systems governed by priority rules appear in the modeling of emergency organizations and road traffic. These systems can be modeled by piecewise linear time-delay dynamics, specifically using Petri nets with priority rules. A…

Optimization and Control · Mathematics 2024-11-20 Xavier Allamigeon , Pascal Capetillo , Stephane Gaubert

We study a continuous dynamics for a class of Petri nets which allows the routing at non-free choice places to be determined by priorities rules. We show that this dynamics can be written in terms of policies which identify the bottleneck…

Optimization and Control · Mathematics 2019-12-30 Xavier Allamigeon , Vianney Boeuf , Stéphane Gaubert

Automated verification of living organism models allows us to gain previously unknown knowledge about underlying biological processes. In this paper, we show the benefits to use parametric time Petri nets in order to analyze precisely the…

Logic in Computer Science · Computer Science 2015-06-23 Alexander Andreychenko , Morgan Magnin , Katsumi Inoue

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints. While many existing approaches rely on Colored Petri Nets to model material flows, this…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Eric Lubat , Pierre-Emmanuel Hladik , Yoann Mateu , Rémi Sauvère

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

It is well known that the complex system operation requires the use of new scientific tools and computer simulation. This paper presents a modular approach for modeling and analysis of the complex systems (in communication or transport…

Systems and Control · Computer Science 2017-03-22 Janetta Culita , Simona Caramihai , Calin Munteanu

In many complex systems that can be modeled using Petri nets time can be a very important factor which should be taken into account during creation and analysis of the model. Time data can describe starting moments of some actions or their…

Formal Languages and Automata Theory · Computer Science 2024-05-16 Marcin Radom , Piotr Formanowicz

It is well known that the complex system operation requires the use of new scientific tools and computer simulation. This paper presents a modular approach for modeling and analysis of the complex systems (in communication or transport…

Systems and Control · Computer Science 2017-04-03 Simona Iuliana Caramihai , Calin Munteanu , Janetta Culita

Motivated by microscopic traffic modeling, we analyze dynamical systems which have a piecewise linear concave dynamics not necessarily monotonic. We introduce a deterministic Petri net extension where edges may have negative weights. The…

Optimization and Control · Mathematics 2010-01-26 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

Due to the mobility and frequent disconnections, the correctness of mobile interaction systems, such as mobile robot systems and mobile payment systems, are often difficult to analyze. This paper introduces three critical properties of…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Ru Yang , Zhijun Ding , Changjun Jiang , MengChu Zhou

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

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

The worldwide healthcare organizations are facing a number of daunting challenges forcing systems to benefit from modern technologies and telecom capabilities. Hence, systems evolution through extension of the existing information…

Software Engineering · Computer Science 2012-10-23 Sabri Mtibaa , Moncef Tagina

In the modelling and analysis of large, real systems, the main problem in their efficient processing is the size of the global model. One of the popular approaches that address this issue is the decomposition of such global model into much…

Multiagent Systems · Computer Science 2023-10-31 Federica Adobbati , Łukasz Mikulski

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

Mathematical Software · Computer Science 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

Mobile computing systems, service-based systems and some other systems with mobile interacting components have recently received much attention. However, because of their characteristics such as mobility and disconnection, it is difficult…

Software Engineering · Computer Science 2021-11-04 Zhijun Ding , Ru Yang , Puwen Cui , MengChu Zhou , Changjun Jiang

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

The execution of an event in a complex and distributed system where the dependencies vary during the evolution of the system can be represented in many ways, and one of them is to use Context-Dependent Event structures. Event structures are…

Logic in Computer Science · Computer Science 2023-06-22 G. Michele Pinna
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