Abstract
A model has been developed to determine the optimal distance between the official take-off line in the long-jump competition, and the arbitrary line that a jumper should select for himself and aim at for his take-offs in order to maximize the probability of scoring at least a given distance in the competition. The model has been solved numerically and upheld by simulation for a set of experimental data, for which the optimal location of the aimed at take-off line was determined as a function of the desired scored distance. It has been found that when the jumper aims at scoring at least a distance which is much below or much above his average jumping ability, it is imperative to use the corresponding optimal aimed at take-offline, and to avoid the use of the aimed at take-off line that maximizes the expected scored distance in the competition.
Original language | English |
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Pages (from-to) | 249-256 |
Number of pages | 8 |
Journal | Computers and Operations Research |
Volume | 14 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 1987 |
ASJC Scopus subject areas
- General Computer Science
- Modeling and Simulation
- Management Science and Operations Research