Using model checking for analyzing distributed power control problems

  • Authors:
  • Thomas Brihaye;Marc Jungers;Samson Lasaulce;Nicolas Markey;Ghassan Oreiby

  • Affiliations:
  • Institut de Mathématique, Université de Mons, Mons, Belgium;Centre de Recherche en Automatique de Nancy, Nancy Université, CNRS, Vandoeuvre-les-Nancy, France and Systèmes et Applications des Technologies de l'Information et de l'Energie, CNRS, UM ...;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

  • Venue:
  • EURASIP Journal on Wireless Communications and Networking
  • Year:
  • 2010

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Abstract

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.