Modelling IEEE 802.11 CSMA/CA RTS/CTS with stochastic bigraphs with sharing

Calder, M. and Sevegnani, M. (2014) Modelling IEEE 802.11 CSMA/CA RTS/CTS with stochastic bigraphs with sharing. Formal Aspects of Computing, 26(3), pp. 537-561. (doi:10.1007/s00165-012-0270-3)

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Publisher's URL: http://dx.doi.org/10.1007/s00165-012-0270-3

Abstract

Stochastic bigraphical reactive systems (SBRS) is a recent formalism for modelling systems that evolve in time and space. However, the underlying spatial model is based on sets of trees and thus cannot represent spatial locations that are shared among several entities in a simple or intuitive way. We adopt an extension of the formalism, SBRS with sharing, in which the topology is modelled by a directed acyclic graph structure. We give an overview of SBRS with sharing, we extend it with rule priorities, and then use it to develop a model of the 802.11 CSMA/CA RTS/CTS protocol with exponential backoff, for an arbitrary network topology with possibly overlapping signals. The model uses sharing to model overlapping connectedness areas, instantaneous prioritised rules for deterministic computations, and stochastic rules with exponential reaction rates to model constant and uniformly distributed timeouts and constant transmission times. Equivalence classes of model states modulo instantaneous reactions yield states in a CTMC that can be analysed using the model checker PRISM. We illustrate the model on a simple example wireless network with three overlapping signals and we present some example quantitative properties.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Calder, Professor Muffy and Sevegnani, Dr Michele
Authors: Calder, M., and Sevegnani, M.
College/School:College of Science and Engineering > School of Computing Science
Journal Name:Formal Aspects of Computing
Publisher:Springer Verlag
ISSN:0934-5043
ISSN (Online):1433-299X
Published Online:08 January 2013
Copyright Holders:Copyright © 2013 BCS
First Published:First published in Formal Aspects of Computing
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
478101Homework: Shaping future user centred domestic infrastructuresJoseph SventekEngineering & Physical Sciences Research Council (EPSRC)EP/F064225/1SCHOOL OF COMPUTING SCIENCE