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.
|Title of host publication||Proceedings of the 3rd International Conference on Mathematics in Sport|
|Editors||D Percy, J Reade, P Scarf|
|Place of Publication||England|
|Publisher||Institute of Mathematics and Its Applications|
|Number of pages||5|
|Publication status||Published - 2011|
|Event||International Conference on Mathematics in Sport (2011 3rd) - England, United Kingdom|
Duration: 22 Jun 2011 → 24 Jun 2011
Conference number: 2011 (3rd)
|Conference||International Conference on Mathematics in Sport (2011 3rd)|
|Period||22/06/11 → 24/06/11|