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Probabilistic Model Checking of the IEEE 802.11 Wireless Local Area Network Protocol

Marta Kwiatkowska6, Gethin Norman6 and Jeremy Sproston7

(6)  School of Computer Science, University of Birmingham, Birmingham, B15 2TT, UK
(7)  Dipartimento di Informatica, Università di Torino, 10149 Torino, Italy
Abstract
The international standard IEEE 802.11 was developed recently in recognition of the increased demand for wireless local area networks. Its medium access control mechanism is described according to a variant of the Carrier Sense Multiple Access with Collision Avoidance (CSMA/CA) scheme. Although collisions cannot always be prevented, randomised exponential backoff rules are used in the retransmission scheme to minimise the likelihood of repeated collisions. More precisely, the backoff procedure involves a uniform probabilistic choice of an integer-valued delay from an interval, where the size of the interval grows exponentially with regard to the number of retransmissions of the current data packet. We model the two-way handshake mechanism of the IEEE 802.11 standard with a fixed network topology using probabilistic timed automata, a formal description mechanism in which both nondeterministic choice and probabilistic choice can be represented. From our probabilistic timed automaton model, we obtain a finite-state Markov decision process via a property-preserving discrete-time semantics. The Markov decision process is then verified using Prism, a probabilistic model checking tool, against probabilistic, timed properties such as “at most 5,000 microseconds pass before a station sends its packet correctly.”
Supported in part by the EPSRC grant GR/N22960, the CNR grant No.99.01716.CTO1, and the EU within the DepAuDE project IST-2001-25434.

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2 newer articles

  1. SEKIZAWA, Toshifusa (2009) Probabilistic Model Checking of the One-Dimensional Ising Model. IEICE Transactions on Information and Systems e92-d(5)
    [CrossRef]
  2. Norman, G. (2005) . IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 24(10)
    [CrossRef]
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