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Open Access

Using Model Checking for Analyzing Distributed Power Control Problems

  • Thomas Brihaye1,
  • Marc Jungers2, 3,
  • Samson Lasaulce4Email author,
  • Nicolas Markey5 and
  • Ghassan Oreiby6
EURASIP Journal on Wireless Communications and Networking20102010:861472

Received: 14 September 2009

Accepted: 25 March 2010

Published: 5 May 2010


Model checking (MC) is a formal verification technique which has been known and still knows a resounding success in the computer science community. Realizing that the distributed power control (PC) problem can be modeled by a timed game between a given transmitter and its environment, the authors wanted to know whether this approach can be applied to distributed PC. It turns out that it can be applied successfully and allows one to analyze realistic scenarios including the case of discrete transmit powers and games with incomplete information. The proposed methodology is as follows. We state some objectives a transmitter-receiver pair would like to reach. The network is modeled by a game where transmitters are considered as timed automata interacting with each other. The objectives are then translated into timed alternating-time temporal logic formulae and MC is exploited to know whether the desired properties are verified and determine a winning strategy.


Model CheckPower ControlIncomplete InformationTemporal LogicRealistic Scenario

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Authors’ Affiliations

Institut de Mathématique, Université de Mons, Mons, Belgium
Centre de Recherche en Automatique de Nancy (CRAN), Nancy Université, CNRS, Vandoeuvre-les-Nancy, France
Systèmes et Applications des Technologies de l'Information et de l'Energie (SATIE) CNRS, UMR8029-École Normale Supérieure de Cachan, ENS Cachan, France
Laboratoire des Signaux et Systèmes, CNRS, Supelec, Gif-sur-Yvette, France
Laboratoire Spécification & Vérification, ENS Cachan, Cachan, France
Department of Computer Science, Aalborg University, Aalborg, Denmark


© Thomas Brihaye et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.