Abstract

The class of discrete event systems (DES) which involve only synchronization phenomena can be represented by linear state equations in particular algebraic structures. The (max,+) algebra is a dioid over which, these systems can have a linear state representation with special sum and product operations. The study of the DES over this (max,+) algebra is usually made through the corresponding timed event graph (TEG). In this paper, we extend the study over this dioid to DES that are subject to time-varying constraints. We enrich the existing TEG formalism to characterize these systems and propose a modeling and control policy. An example of a supply chain system illustrates this study

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.