Separation of Circulating Tokens

  • Authors:
  • Kajari Ghosh Dastidar;Ted Herman

  • Affiliations:
  • Department of Computer Science, University of Iowa,;Department of Computer Science, University of Iowa,

  • Venue:
  • SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

Self-stabilizing distributed control is often modeled by token abstractions. For a cyber-physical system, tokens may represent physical objects whose movement is controlled. The problem studied in this paper is to ensure that a synchronous system with m circulating tokens has at least d distance between tokens. This problem is first considered in a ring where d is given whilst m and the ring size n are unknown. The protocol solving this problem can be uniform, with all processes running the same program, or it can be non-uniform, with some processes acting only as token relays. The protocol for this first problem is simple, and can be expressed with Petri net formalism. A second problem is to maximize d when m is given, and n is unknown. For the second problem, the paper presents a non-uniform protocol with a single corrective process.