Cycle time of P-time event graphs

被引:0
|
作者
Declerck, Ph. [1 ]
Guezzi, Ab. [1 ]
Boimond, J-L. [1 ]
机构
[1] Univ Angers, LISA ISTIA, F-49000 Angers, France
关键词
P-time Petri net; timed event graph; (max; plus; algebra; cycle time; production rate;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The dater equalities constitutes an appropriate tool which allows a linear description of Timed Event Graphs in the field of (max, +) algebra. This paper proposes an equivalent model in the usual algebra which can describe Timed and P-time Event Graphs. Considering 1-periodic behavior, the application of a variant of Farkas' lemma allows the determination of upper and lower bounds of the production rate and necessary conditions of consistency.
引用
收藏
页码:489 / 495
页数:7
相关论文
共 50 条
  • [1] Analysis of Cycle Time in Interval P-Time Event Graphs in Dioid Algebras
    Spacek, Pavel
    Komenda, Jan
    IFAC PAPERSONLINE, 2017, 50 (01): : 13461 - 13467
  • [2] Weak Consistency of P-time Event Graphs
    Zorzenon, Davide
    Balun, Jiri
    Raisch, Joerg
    IFAC PAPERSONLINE, 2022, 55 (40): : 19 - 24
  • [3] Bounded Consistency of P-Time Event Graphs
    Zorzenon, Davide
    Komenda, Jan
    Raisch, Joerg
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 79 - 85
  • [4] Consistency of P-time event graphs is decidable in polynomial time
    Zorzenon, Davide
    Raisch, Joerg
    IFAC PAPERSONLINE, 2024, 58 (01): : 54 - 59
  • [5] Liveness and acceptable trajectories in P-time Event Graphs
    Declerck, Philippe
    Alaoui, Mohamed Khalid Didi
    WODES 2006: EIGHTH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, PROCEEDINGS, 2006, : 445 - +
  • [6] Model predictive control of P-time event graphs
    Hamri, H.
    Kara, R.
    Amari, S.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (16) : 3792 - 3802
  • [7] Predictive control of Timed Event Graphs with specifications defined by P-time Event Graphs
    Declerck, Philippe
    Guezzi, Abdelhak
    DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2014, 24 (03): : 261 - 273
  • [8] Predictive control of Timed Event Graphs with specifications defined by P-time Event Graphs
    Philippe Declerck
    Abdelhak Guezzi
    Discrete Event Dynamic Systems, 2014, 24 : 261 - 273
  • [9] Performance evaluation of discret event systems using P-time Event Graphs
    Abdelhak, Guezzi
    Declerck, Ph.
    2009 IEEE CONFERENCE ON EMERGING TECHNOLOGIES & FACTORY AUTOMATION (EFTA 2009), 2009,
  • [10] From Extremal Trajectories to Token Deaths in P-time Event Graphs
    Declerck, Philippe
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) : 463 - 467