English

CHTW-systems with resource-depended parameters. CHTW(R)-systems

Logic in Computer Science 2024-08-05 v1

Abstract

In [1] the concept of CHTW-systems as a multidimensional representation of Petri nets was proposed based on the assumption of multidimensional distribution of tokens (resources) in positions (branes) and, accordingly, multidimensional representation of transitions and arcs. The extension of Petri nets was developed under the assumption of the stationarity of CHTW-system, when its parameters are constant during the system operation. We consider the case when the main parameters of CHTW-system (threshold functions and rate functions) change in accordance with the values of the mark-functions (multidimensional resource) of some container branes of the same CHTW-system. The modification of the basic CHTW-system was designated as a CHTW(R) system, in which (R) means a Resource control of the system parameters.

Keywords

Cite

@article{arxiv.2408.01245,
  title  = {CHTW-systems with resource-depended parameters. CHTW(R)-systems},
  author = {Alexander Yu. Chunikhin},
  journal= {arXiv preprint arXiv:2408.01245},
  year   = {2024}
}

Comments

10 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2310.01587

R2 v1 2026-06-28T18:02:15.079Z