Stationary solutions of discrete and continuous Petri nets with priorities

被引：4

作者：

Allamigeon, Xavier ^{[1
,2
]}

Boeuf, Vianney ^{[1
,2
,3
,4
]}

Gaubert, Stephane ^{[1
,2
]}

机构：

[1] Univ Paris Saclay, CNRS, INRIA, Paris, France

[2] Univ Paris Saclay, Ecole Polytech, CNRS, CMAP, Paris, France

[3] Ecole Ponts ParisTech, Paris, France

[4] Brigade Sapeurs Pompiers Paris, Paris, France

来源：

PERFORMANCE EVALUATION | 2017年 / 113卷

关键词：

Continuous Petri nets; Timed discrete event systems; Hybrid dynamical systems;

D O I：

10.1016/j.peva.2017.04.007

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 places. We characterize the stationary solutions, and show that they coincide with the stationary solutions of the discrete dynamics of this class of Petri nets. We provide numerical experiments on a case study of an emergency call center, indicating that pathologies of discrete models (oscillations around a limit different from the stationary limit) vanish by passing to continuous Petri nets. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1 / 12

页数：12

共 50 条

[1] Optimal stationary behavior for a class of timed continuous Petri nets
Gaujal, B
Giua, A
[J]. AUTOMATICA, 2004, 40 (09) : 1505 - 1516
[2] Estimation of the firing frequencies in discrete and continuous Petri nets models
Lefebvre, D
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (11) : 1321 - 1332
[3] Production lines modeling by discrete/continuous aspect in Petri nets
Demongodin, I
Prunet, F
[J]. MANAGEMENT AND CONTROL OF PRODUCTION AND LOGISTICS, VOL 1 AND 2, 1998, : 199 - 205
[4] From discrete to continuous models: A perspective on fluidization of Petri nets
Silva, Manuel
Mahulea, Cristian
[J]. 2014 EUROPEAN CONTROL CONFERENCE (ECC), 2014, : 2643 - 2648
[5] Model predictive control for discrete and continuous timed Petri nets
Taleb M.
Leclercq E.
Lefebvre D.
[J]. International Journal of Automation and Computing, 2018, 15 (1) : 25 - 38
[6] Model Predictive Control for Discrete and Continuous Timed Petri Nets
Marwa Taleb
Edouard Leclercq
Dimitri Lefebvre
[J]. Machine Intelligence Research, 2018, 15 (01) : 25 - 38
[7] On fluidification of Petri Nets: from discrete to hybrid and continuous models
Silva, M
Recalde, L
[J]. ANNUAL REVIEWS IN CONTROL, 2004, 28 (02) : 253 - 266
[8] On the analysis of Petri nets with static priorities
Bause, F
[J]. ACTA INFORMATICA, 1996, 33 (07) : 669 - 685
[9] Discrete-continuous modeling using Hybrid Stochastic Petri Nets
Horton, G
Kowarschik, M
[J]. SIMULATION IN INDUSTRY'99: 11TH EUROPEAN SIMULATION SYMPOSIUM 1999, 1999, : 687 - 694
[10] On fluidization of discrete event models: observation and control of continuous Petri nets
Silva, Manuel
Julvez, Jorge
Mahulea, Cristian
Renato Vazquez, C.
[J]. DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2011, 21 (04): : 427 - 497

← 1 2 3 4 5 →