Publication detail

Analysis of P-time event graphs in (max, plus ) and (min, plus ) semirings

ŠPAČEK, P. KOMENDA, J. LAHAYE, S.

Original Title

Analysis of P-time event graphs in (max, plus ) and (min, plus ) semirings

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we investigate the behaviour of P-time event graphs, a class of time Petri nets with non-deterministic timing of places. Our approach is based on combined linear descriptions in both (max,+) and (min,+) semirings, where lower bounds on the state vector are (max,+)-linear and upper bounds are (min,+)-linear. We present necessary and sufficient conditions for the existence of extremal (fastest and slowest) periodic trajectories that are derived from the new description. The results are illustrated by a realistic example of an electroplating process.

Keywords

(max; +) algebra; (min; +) algebra; P-time event graphs; residuation theory; cycle time

Authors

ŠPAČEK, P.; KOMENDA, J.; LAHAYE, S.

Released

31. 12. 2021

Publisher

TAYLOR & FRANCIS LTD

Location

ABINGDON

ISBN

0020-7721

Periodical

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

Year of study

52

Number

4

State

United Kingdom of Great Britain and Northern Ireland

Pages from

694

Pages to

709

Pages count

16

URL

https://www.tandfonline.com/doi/full/10.1080/00207721.2020.1837992

BibTex

@article{BUT169132,
  author="Pavel {Špaček} and Jan {Komenda} and Sébastien {Lahaye}",
  title="Analysis of P-time event graphs in (max, plus ) and (min, plus ) semirings",
  journal="INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE",
  year="2021",
  volume="52",
  number="4",
  pages="694--709",
  doi="10.1080/00207721.2020.1837992",
  issn="0020-7721",
  url="https://www.tandfonline.com/doi/full/10.1080/00207721.2020.1837992"
}