Available online
Description
The programme examines two applications of random sampling: Monte Carlo integration and simulation.
The programme examines two applications of random sampling: Monte Carlo integration and simulation.
| Module code and title: | M351, Numerical computation |
|---|---|
| Item code: | M351; 07 |
| First transmission date: | 14-09-1976 |
| Published: | 1976 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:00 |
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| Producer: | John Richmond |
| Contributors: | Bill Arms; Peter Blachford |
| Publisher: | BBC Open University |
| Keyword(s): | Air traffic controllers; Aircraft; Copenhagen airport; Random sampling |
| Footage description: | The programme opens with a brief cartoon. Using a graphics board diagram, Blachford explains how random sampling can be used to estimate integrals in two dimensions. He presents the problem of calculating the volume beneath this irregular surface. Blachford uses a three dimensional model of the above figure to explain how the Monte Carlo method is applied to the problem. He uses twenty-sided dice to obtain random samples of height. Arms uses the computer terminal to show the distribution of 100 samples. Blachford shows how to obtain the mean of 25 sample heights, and Arms show the distribution of these means on the computer terminal. A computer animation shows how the statistical measure alters as the sample size is increased. Blachford and Arms use graphics boards to examine the calculations related to the distribution of random samples. Arms explains how a computer can generate numbers which act as random numbers. Three distribution patterns are seen on the computer terminal. Blachford explains how the computer generates pseudo-random numbers and describes the way random numbers are used in an airport simulation. Over shots of aircraft and air traffic control Arms explains how the sampling from a negative exponential distribution is used to obtain random events. Blachford uses a string of random numbers to illustrate how arrivals over an airport could be simulated via sampling in a cumulative distribution. A computer animation shows how this is done at Copenhagen Airport. |
| Master spool number: | 6HT/72103 |
| Production number: | 00525_4226 |
| Videofinder number: | 854 |
| Available to public: | no |
