A one dimensional random walk model for driving in touch football

Joe Walsh, Ian Heazlewood

    Research output: Chapter in Book/Report/Conference proceedingConference Paper published in Proceedings

    Abstract

    Investigation was commenced on an integral component of a concurrently developed model of the game of touch football as a series of Markov States. Examination was conducted on the changes in field position within the central pitch area, focused around the halfway line, during a hypothetical match of touch football. These changes represented a series of separate states within the Markov Chain, however these states existed within a phase of play where certain common parameters were shared. The prospect of modelling this phase of play as a one dimensional random walk with constraint parameters was examined.

    Monte Carlo methods were applied in order to model probabilistic outcomes of game based scenarios. Gaussian (built on uniform) and uniform pseudorandom numbers, initialized to an external device (the system clock), were generated using algorithms complied in Fortran.  A preliminary model was first developed with time independent state change, but with dependence on the dimension of displacement.

    Fortran programs using hypothetical values for model parameters provided appropriate output, giving a fundamental, yet functioning, Monte Carlo model of driving within the game of touch football.

    Original languageEnglish
    Title of host publicationProceedings of the 3rd International Conference on Mathematics in Sport
    EditorsD Percy, J Reade, P Scarf
    Place of PublicationEngland
    PublisherInstitute of Mathematics and Its Applications
    Pages235-239
    Number of pages5
    Publication statusPublished - 2011
    EventInternational Conference on Mathematics in Sport (2011 3rd) - England, United Kingdom
    Duration: 22 Jun 201124 Jun 2011
    Conference number: 2011 (3rd)

    Conference

    ConferenceInternational Conference on Mathematics in Sport (2011 3rd)
    CountryUnited Kingdom
    Period22/06/1124/06/11

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  • Cite this

    Walsh, J., & Heazlewood, I. (2011). A one dimensional random walk model for driving in touch football. In D. Percy, J. Reade, & P. Scarf (Eds.), Proceedings of the 3rd International Conference on Mathematics in Sport (pp. 235-239). Institute of Mathematics and Its Applications.