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Polynomial-Time Many-One reductions for Petri nets [chapter]

Catherine Dufourd, Alain Finkel
1997 Lecture Notes in Computer Science  
We apply to Petri net theory the technique of polynomialtime many-one reductions. We study boundedness, reachability, deadlock, liveness problems and some of their variations.  ...  Finally, we give an upper bound on the boundedness for post self-modi ed nets: 2 O(size(N ) 2 log size(N )) . This improves a decidability result of Valk 18].  ...  Secondly, we establish a strong relation between Petri nets and Post Self-Modifying nets (PSM-nets) on the boundedness problem.  ... 
doi:10.1007/bfb0058039 fatcat:2oo5i65iwrchfbxmeuh77xnqf4

On observability in timed continuous Petri net systems

J. Julvez, E. Jimenez, L. Recalde, M. Silva
2004 First International Conference on the Quantitative Evaluation of Systems, 2004. QEST 2004. Proceedings.  
In this paper we deal with T-timed fully continuous Petri Nets working under infinite servers semantics, what leads to (deterministic) piecewise linear differential systems.  ...  For non Join-Free Petri Nets, conditions to compute suitable estimates will be established.  ...  This difference is due to the fact that in Petri nets the PT-set depends only on the marking (and the net structure).  ... 
doi:10.1109/qest.2004.1348020 dblp:conf/qest/JulvezJRS04 fatcat:5sc5l7f7gre2lhvhd5k7g2djdi

The On-Line Diagnosis of Time Petri Nets [chapter]

René K. Boel, George Jiroveanu
2013 Lecture notes in control and information sciences  
We derive in this paper on-line algorithms for fault diagnosis of Time Petri Net (TPN) models.  ...  We present two methods to derive the entire set of solutions of a characteristic system, one based on Extended Linear Complementarity Problem and the second one based on constraint propagation that exploits  ...  A Time Petri Net (TPN) N θ = (P, T , F, I s ), consists of an (untimed) Petri Net N = (P, T , F ) (called the untimed support of N θ ) and the static time interval function I s : T → Definition 7 A state  ... 
doi:10.1007/978-1-4471-4276-8_17 fatcat:4ftlmcx77fgfrjgjsob5lnqzf4

On performance bounds for interval time petri nets

S. Bernardi, J. Campos
2004 First International Conference on the Quantitative Evaluation of Systems, 2004. QEST 2004. Proceedings.  
In this paper we present the results obtained from a preliminary investigation on the applicability of bounding techniques of timed Petri nets to interval time Petri Nets.  ...  Interval time Petri Nets are Petri nets in which time intervals are associated to transitions.  ...  Bounds for special classes of interval Time Petri Nets In case of live and bounded systems similar techniques as the ones defined for Stochastic Petri Nets which make use of P-semiflows [5, 7, 6, 8]  ... 
doi:10.1109/qest.2004.1348019 dblp:conf/qest/BernardiC04 fatcat:j4kbmy4dzfbhzh4u254itatgfq

A Forward On-The-Fly Approach in Controller Synthesis of Time Petri Nets [chapter]

Parisa Heidari, Hanifa Boucheneb
2012 Petri Nets - Manufacturing and Computer Science  
Time Petri nets 2.1. Definition and behavior A time Petri net [14] is a Petri net augmented with time intervals associated with transitions.  ...  These abstractions are finite for all bounded time Petri nets.  ... 
doi:10.5772/47744 fatcat:qrsz6d6juzeb5m6zyykybgs5iq

On generation of state space for timed Petri nets

W. M. Zuberek
1988 Proceedings of the 1988 ACM sixteenth annual conference on Computer science - CSC '88  
A b s t r a c t It is shown that the behavior of timed Petri nets with deterministic firing times (M-timed nets) can be described within one uniform formalism.  ...  Moreover, for both classes of nets the state spaces are homogeneous semi-Markov chains, the stationary probabilities of states and many performance measures can thus be obtained by standard techniques  ...  Some simple examples of D-timed and M-timed nets are given in section 7. On generation of state space for timed Petri nets 240 2.  ... 
doi:10.1145/322609.322648 dblp:conf/acm/Zuberek88 fatcat:ny4wrgflhzgq3nphdrmjl7a7by

On State Estimation of Timed Choice-Free Petri Nets

Xu Wang, Cristian Mahulea, Jorge Júlvez, Manuel Silva
2011 IFAC Proceedings Volumes  
In this paper, we present an online algorithm for state estimation of timed choice-free Petri nets.  ...  This work extends the notion of basis markings defined for untimed Petri nets considering now the time information.  ...  ., nets with choices, and we show that the procedure is similar with the standard one of untimed Petri nets.  ... 
doi:10.3182/20110828-6-it-1002.01523 fatcat:xn4lmulom5emnamymf5raxj244

A multimedia synchronization model based on timed Petri net

Yongquan Liang, Zhongzhi Shi
1999 Journal of Computer Science and Technology  
In the present study, a multi-stage attack has been extracted and modeled with a timed Petri net, and then the results are compared with those of similar articles.  ...  On the contrary, the local manager of transmission or distribution network may find this in conflict with his/her interests and may even take actions against it via cyber-attacks.  ...  In this study, a timed Petri net was used to model a two-stage attack on the special protection service of the generation rejection.  ... 
doi:10.1007/bf02948516 fatcat:rt2hf2zbrjhl7ap2izgvlcxsoy

Optimal-Cost Reachability Analysis Based on Time Petri Nets

Hanifa Boucheneb, Didier Lime, Olivier H. Roux, Charlotte Seidner
2018 2018 18th International Conference on Application of Concurrency to System Design (ACSD)  
This paper shows that for some subclasses of cost time Petri nets, the optimalcost reachability problem can be solved more efficiently using a method based on the state classes, without resorting to linear  ...  This paper investigates the optimal-cost reachability problem in the context of time Petri nets, where a rate cost is associated with each place.  ...  COST TIME PETRI NETS A.  ... 
doi:10.1109/acsd.2018.000-1 dblp:conf/acsd/BouchenebLRS18 fatcat:nb6aph3rfbat3lbmp3tyi636am

On the Computational Power of Timed Differentiable Petri Nets [chapter]

Serge Haddad, Laura Recalde, Manuel Silva
2006 Lecture Notes in Computer Science  
In this work, we considerably strengthen this result by showing that Time Differentiable Petri Nets (TDPN) can simulate Turing machines.  ...  These simulations are performed by nets whose dimension of associated ODEs is constant.  ...  Definition 5 (Timed Differentiable Petri Nets).  ... 
doi:10.1007/11867340_17 fatcat:h3tiyqwbl5gxhdl6b7pgbvz5xu

Timing Constraints Support on Petri-Net Model for Healthcare System Design [article]

Sabri Mtibaa, Moncef Tagina
2012 arXiv   pre-print
Thanks to Hierarchical Timed Predicate Petri-Net based conceptual framework, desirable properties such as deadlock free and safe as well as timing constraints satisfiability can be easily checked by designer  ...  Hence, systems evolution through extension of the existing information technology infrastructure becomes one of the most challenging aspects of healthcare.  ...  MODELING THE CONCEPTUAL FRAMEWORK BY HIERARCHICAL TIMED PREDICATE PETRI-NETS Petri-Nets are well-established process-modeling approach.  ... 
arXiv:1210.5374v1 fatcat:76yyec75jjac3f3sifttyuhl64

Adaptive time warp simulation of timed Petri nets

A. Ferscha
1999 IEEE Transactions on Software Engineering  
Time Warp (TW), although generally accepted as a potentially effective parallel and distributed simulation mechanism for timed Petri nets, can reveal deficiencies in certain model domains.  ...  The sensitivity of the adaptive optimism control with respect to forecast accuracy and computational overhead is analyzed for very large Petri net simulation models executed with the TW protocol on the  ...  ADAPTIVE LOGICAL PROCESS SIMULATION Logical Process Simulation of Petri nets A logical process simulation (or distributed simulation) of timed Petri nets (TPNs) employs a set of LPs to execute event  ... 
doi:10.1109/32.761448 fatcat:6edbvxwbqbeddj5spxgdeicfia

On time-average limits in deterministic and stochastic petri nets

Tomáš Brázdil, Luboš Korenčiak, Jan Krčál, Jan Křetínský, Vojtěch Řehák
2013 Proceedings of the ACM/SPEC international conference on International conference on performance engineering - ICPE '13  
In this poster paper, we study performance of systems modeled by deterministic and stochastic Petri nets (DSPN).  ...  Further, we introduce a syntactical restriction on DSPN which preserves most of the modeling power yet guarantees existence of the long-run average.  ...  For the sake of performance evaluation, Petri nets are turned into a continuous-time model as follows.  ... 
doi:10.1145/2479871.2479936 dblp:conf/wosp/BrazdilKKKR13 fatcat:io45al4kufhtxiftkmezoxpina

On-the-fly TCTL model checking for time Petri nets

Rachid Hadjidj, Hanifa Boucheneb
2009 Theoretical Computer Science  
In this paper, we show how to efficiently model check a subset of TCTL properties for the Time Petri Net model (TPN model), using the state class method.  ...  A forward on-the-fly exploration is then applied on the resulting TPN state class space to verify a timed property.  ...  The best known timed extensions are timed Petri nets proposed by Ramchandani [31] and time Petri nets proposed by Merlin and Farber [29] .  ... 
doi:10.1016/j.tcs.2009.06.019 fatcat:kf53upym5jdjzfvumomsf4jvae

Verification of Liveness Properties on Closed Timed-Arc Petri Nets [chapter]

Mathias Andersen, Heine Gatten Larsen, Jiří Srba, Mathias Grund Sørensen, Jakob Haahr Taankvist
2013 Lecture Notes in Computer Science  
To the best of our knowledge, the explicit methods have not yet been employed in the verification of liveness properties in Petri net models extended with time.  ...  We present an algorithm for liveness analysis of closed Timed-Arc Petri Nets (TAPN) extended with weights, transport arcs, inhibitor arcs and age invariants and prove its correctness.  ...  The first three papers present explicit methods for the model of timed automata, while the third one studies discretization for Time Petri Nets (TPN), a Petri net model that is substantially different  ... 
doi:10.1007/978-3-642-36046-6_8 fatcat:vy33myjv6vah5dsj5jyqgud75u
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