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

TL;DR

This paper extends the concept of CHTW-systems, a multidimensional Petri net model, to include resource-dependent parameters that change dynamically based on resource levels, introducing CHTW(R) systems.

Contribution

It introduces CHTW(R) systems where key parameters adapt according to resource levels, advancing the modeling of dynamic resource-dependent systems.

Findings

Parameters vary with resource levels in CHTW(R) systems.

Extension allows modeling of non-stationary, resource-dependent behaviors.

Provides a framework for dynamic resource management in Petri net models.

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.