1 edition of **A Mathematical Model for Calculating Non-Detection Probability of a Random Tour Target** found in the catalog.

A Mathematical Model for Calculating Non-Detection Probability of a Random Tour Target

Salah Ibrahim Abd El-Fadeel

- 319 Want to read
- 21 Currently reading

Published
**1985**
by Naval Postgraduate School, Defense Technical Information Center in Monterey, California
.

Written in English

- Computations,
- Mathematical models,
- Mathematical prediction,
- Computerized simulation,
- Computer programs

The primary objective of this thesis was to build a mathematical model to predict the probability of a target moving according to a two-dimensional random tour model avoiding detection (i.e., surviving) to some specified time, t. This model assumes that there is a stationary searcher having a "cookie-cutter" sensor located in the center of the search area. A Monte-Carlo simulation computer program was used to generate the non-detection probabilities. The output of this program was used to construct the required mathematical model. The model predicts, and simulation supports, that as the mean segment length of the random tour becomes small with respect to the square root of the area size, the probability of non-detection approaches that previously obtained for a diffusing target. In the opposite extreme, the probability of non-detection approaches the general form of Koopman"s random search formula. Keywords: Diffusion; RATSIM Computer program; FORTRAN; RATSIM (Random Tour Simulation). (Author).

**Edition Notes**

Contributions | Naval Postgraduate School (U.S.) |

The Physical Object | |
---|---|

Pagination | 71 p. |

Number of Pages | 71 |

ID Numbers | |

Open Library | OL25470904M |

OCLC/WorldCa | 227669798 |

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The output of this program was used to construct the required mathematical model. The model predicts, and simulation supports, that as the mean segment length of the random tour becomes small with respect to the square root of the area size, the probability of non-detection approaches that previously obtained for a diffusing : A mathematical model for calculating non-detection probability of a random tour target.

--by Abd El-Fadeel, Salah Ibrahim. texts. eye 64 favorite 0 comment 0. The primary objective of this thesis was to build a mathematical model to predict the probability of a target moving according to a two-dimensional random tour model avoiding detection. If the half life is long enough and we have enough material this probability should remain accurate for a long time.

Now we have a Bernoulli process. The samples are binary (detection or non-detection), independent, and will have effectively constant probabilities. We can look at the probabilities of the two possible outcomes. Welcome to the th Kentucky Academy of Science Annual Meeting at Berea College Esteemed Kentucky science educators of the Kentucky Academy of Science.

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